DOCSLIB.ORG

Chern-Simons Gauge Theory: 20 Years After

Total Page：16

File Type：pdf, Size：1020Kb

Download full-text PDF Read full-text

Load more

%17-4 7XYHMIWMR Advanced 1EXLIQEXMGW S.-T. Yau, 7IVMIW Editor Chern-Simons Gauge Theory: 20 Years After Jørgen E. Andersen Hans U. Boden Atle Hahn Benjamin Himpel Editors %QIVMGER1EXLIQEXMGEP7SGMIX]-RXIVREXMSREP4VIWW Chern-Simons Gauge Theory: 20 Years After https://doi.org/10.1090/amsip/050 AMS/IP Studies in Advanced Mathematics Volume 50 Chern-Simons Gauge Theory: 20 Years After Jørgen E. Andersen Hans U. Boden Atle Hahn Benjamin Himpel Editors American Mathematical Society • International Press Shing-Tung Yau, General Editor 2000 Mathematics Subject Classification. Primary 11F23, 14E20, 16S10, 19L10, 20C20, 20F99, 20L05, 30F60, 32G15, 46E25, 53C50, 53D20, 53D99, 54C40, 55R80, 57M25, 57M27, 57M60, 57M50, 57N05, 57N10, 57R56, 58D27, 58D30, 58E09, 58J28, 58J30, 58J52, 58Z05, 70S15, 81T08, 81T13, 81T25, 81T30, 81T45, 83C80. Library of Congress Cataloging-in-Publication Data Chern-Simons gauge theory: 20 years after / Jørgen E. Andersen ...[et al.], editors. p. cm. (AMS/IP studies in advanced mathematics ; v. 50) Proceedings of a workshop held at the Max Planck Institute for Mathematics in Bonn, Aug. 3–7, 2009. Includes bibliographical references. ISBN 978-0-8218-5353-5 (alk. paper) 1. Number theory—Congresses. 2. Algebraic topology—Congresses. 3. Associative rings— Congresses. 4. K-theory—Congresses. 5. Group theory—Congresses. I. Andersen, Jørgen E. 1965– QA241.C6355 2010 514.74—dc22 2011012166 Copying and reprinting. Material in this book may be reproduced by any means for edu- cational and scientific purposes without fee or permission with the exception of reproduction by services that collect fees for delivery of documents and provided that the customary acknowledg- ment of the source is given. This consent does not extend to other kinds of copying for general distribution, for advertising or promotional purposes, or for resale. Requests for permission for commercial use of material should be addressed to the Acquisitions Department, American Math- ematical Society, 201 Charles Street, Providence, Rhode Island 02904-2294, USA. Requests can also be made by e-mail to [email protected]. Excluded from these provisions is material in articles for which the author holds copyright. In such cases, requests for permission to use or reprint should be addressed directly to the author(s). (Copyright ownership is indicated in the notice in the lower right-hand corner of the first page of each article.) c 2011 by the American Mathematical Society and International Press. All rights reserved. The American Mathematical Society and International Press retain all rights except those granted to the United States Government. Printed in the United States of America. ∞ The paper used in this book is acid-free and falls within the guidelines established to ensure permanence and durability. Visit the AMS home page at http://www.ams.org/ Visit the International Press home page at http://www.intlpress.com/ 1098765432 16151413 Contents Preface ix Remarks on Wilson Loops and Seifert Loops in Chern-Simons Theory 1 Chris Beasley Quantum Field Theory and the Volume Conjecture 19 Tudor Dimofte and Sergei Gukov Computational Aspects in Reidemeister Torsion and Chern–Simons Theories 43 Jer´ omeˆ Dubois Functional Integration and Abelian Link Invariants 65 Enore Guadagnini Chern-Simons Invariants, SO(3) Instantons, and Z/2 Homology Cobordism 83 Matthew Hedden and Paul Kirk Extending the SU(3) Casson Invariant to Rational Homology 3-Spheres 115 Christopher M. Herald Decomposition of Witten–Reshetikhin–Turaev Invariant: Linking Pairing and Modular Forms 131 Kazuhiro Hikami Representations and the Colored Jones Polynomial of a Torus Knot 153 Kazuhiro Hikami and Hitoshi Murakami Eta-Invariants and Anomalies in U(1) Chern-Simons Theory 173 Lisa Jeffrey and Brendan McLellan Delta-Groupoids and Ideal Triangulations 201 Rinat M. Kashaev Invariants of Knots and 3–Manifolds Derived from the Equivariant Linking Pairing 217 Christine Lescop Chern–Simons Theory, the 1/N Expansion, and String Theory 243 Marcos Marino˜ v vi Contents Global Lorentzian Geometry from Lightlike Geodesics: What Does an Observer in (2+1)-Gravity See? 261 Catherine Meusburger Spin Foam State Sums and Chern-Simons Theory 277 Aleksandar Mikovic´ and Joao Faria Martins Representations of the Ptolemy Groupoid, Johnson Homomorphisms, and Finite Type Invariants 285 Robert C. Penner Yang-Mills in Two Dimensions and Chern-Simons in Three 307 Ambar N. Sengupta Intersection Pairings on Spaces of Connections and Chern-Simons Theory on Seifert Manifolds 317 George Thompson Fermionization and Convergent Perturbation Expansions in Chern-Simons Gauge Theory 331 Jonathan Weitsman Analytic Continuation of Chern-Simons Theory 347 Edward Witten Preface The workshop Chern-Simons gauge theory: 20 years after washeldatthe Max-Planck-Institute for Mathematics in Bonn from August 3 until August 7, 2009. It brought together mathematicians and physicists from many countries, in- cluding Austria, Brazil, Canada, Denmark, France, Germany, Japan, Korea, Lux- embourg, Netherlands, Poland, Portugal, Romania, Spain, Sweden, Switzerland, United Kingdom and the United States of America, to discuss their research pro- grams in geometric topology, stochastic analysis and mathematical physics. What was shared by this diverse group was a strong interest in Chern-Simons theory, and this is reflected in the talks of the conference as well as in the papers in this volume. Witten introduced Quantum Chern-Simons theory to knot theory in 1989, when he described the Jones polynomial of a link in S3 as a certain (non-rigorous) Feyn- man path integral, more specifically as the quantum field theory whose action is a multiple of the Chern-Simons function. He interpreted these invariants using the axioms of topological quantum field theory (TQFT) as well as via an asymptotic expansion. Since then, there have been several advances in understanding both approaches to Chern-Simons theory, starting with the first rigorous construction of the TQFT version by Reshetikhin and Turaev. This gave rise to quantum topology, a vibrant field which is currently moving in a number of directions including: • categorification, • modular forms, making contact with number theory, • Gromov-Witten theory via Large N duality, and • asymptotic analysis making contact with finite type invariants and hy- perbolic geometry, for example via the volume conjecture and the AJ- conjecture. Many of these topics were touched upon in the talks delivered at the conference and are discussed further in the papers of this volume. One of the outstanding open problems in Chern-Simons theory is to provide a mathematically rigorous treatment for the Feynman path integral, and the difficulty has to do with the problem of constructing a suitable gauge-invariant measure on the infinite dimensional space of all connections. A new approach to this difficult problem is provided by stochastical analysis, and this approach was also discussed at the conference and is the focus for several papers in this volume. Another important aspect of Chern-Simons gauge theory that was featured at the conference has to do with Floer homology theory and related invariants for 3-manifolds. The starting point is Taubes’ result from 1989 which allows one to interpret the Casson invariant as the Euler characteristic of the instanton homology defined by Floer, and some new directions of research in Floer homology and Casson invariants are presented in the papers of this volume. ix xPreface In addition to its many scientific activities, the conference featured a num- ber of pleasant social activities, including a boat ride on the Rhine, a hike up the Drachenfels, a visit to the Biergarten in the Rheinau, and a fun wine and pretzel party at the Hausdorff Institute with musical performances in classical, jazz, and rock music by a number of talented individuals, including Dana Fine, Chris Her- ald, Ben Himpel, Diane and Louis Kauffman, Paul Kirk, Markus Land, Cristina Martinez, Justin Roberts, Roland van der Veen and Lucy Zhang. We are especially grateful to Matthias Kreck for making the Hausdorff Institute available to us for this memorable evening. There were many people who helped to make the conference a success, and we would like to take this opportunity to recognize their contributions. To begin, the conference received funding through the Hausdorff Center for Mathematics in Bonn and the ITGP network of the European Science Foundation, and we would like to thank all the staff at the Hausdorff Institute and the Max-Planck-Institute in Bonn for their friendly assistance during the conference. The editors would also like to thank Arthur Greenspoon for his sage advice and Debbie Iscoe for her expertise in preparing the final versions of the manuscripts. Finally, we would like to thank all the authors who contributed their work to this volume, and especially Edward Witten, who delivered an inspirational lecture at the conference and contributed another monumental paper that is sure to stimulate further activity in this and related fields. Jørgen E. Andersen, Hans U. Boden, Atle Hahn, and Benjamin Himpel November 2010 List of Speakers Dave Auckly: Gauge-string duality and the structure of large rank Chern-Simons invariants Dror Bar-Natan: Convolutions on Lie groups and Lie algebras and ribbon 2-knots Dave Auckly: Gauge-string duality and the structure of large rank Chern-Simons invariants Dror Bar-Natan: Convolutions on Lie groups and Lie algebras and ribbon 2-knots Chris Beasley: Localization for Wilson loops in Chern-Simons
Recommended publications
  • CURRICULUM VITAE David Gabai EDUCATION Ph.D. Mathematics

    CURRICULUM VITAE David Gabai EDUCATION Ph.D. Mathematics

    CURRICULUM VITAE David Gabai EDUCATION Ph.D. Mathematics, Princeton University, Princeton, NJ June 1980 M.A. Mathematics, Princeton University, Princeton, NJ June 1977 B.S. Mathematics, M.I.T., Cambridge, MA June 1976 Ph.D. Advisor William P. Thurston POSITIONS 1980-1981 NSF Postdoctoral Fellow, Harvard University 1981-1983 Benjamin Pierce Assistant Professor, Harvard University 1983-1986 Assistant Professor, University of Pennsylvania 1986-1988 Associate Professor, California Institute of Technology 1988-2001 Professor of Mathematics, California Institute of Technology 2001- Professor of Mathematics, Princeton University 2012-2019 Chair, Department of Mathematics, Princeton University 2009- Hughes-Rogers Professor of Mathematics, Princeton University VISITING POSITIONS 1982-1983 Member, Institute for Advanced Study, Princeton, NJ 1984-1985 Postdoctoral Fellow, Mathematical Sciences Research Institute, Berkeley, CA 1985-1986 Member, IHES, France Fall 1989 Member, Institute for Advanced Study, Princeton, NJ Spring 1993 Visiting Fellow, Mathematics Institute University of Warwick, Warwick England June 1994 Professor Invité, Université Paul Sabatier, Toulouse France 1996-1997 Research Professor, MSRI, Berkeley, CA August 1998 Member, Morningside Research Center, Beijing China Spring 2004 Visitor, Institute for Advanced Study, Princeton, NJ Spring 2007 Member, Institute for Advanced Study, Princeton, NJ 2015-2016 Member, Institute for Advanced Study, Princeton, NJ Fall 2019 Visitor, Mathematical Institute, University of Oxford Spring 2020
  • The Scientific Context

    The Scientific Context

    Center for Quantum Geometry of Moduli Spaces Proposal for the Danish National Research Foundation The Scientific Context: The role of mathematics in our understanding of nature has been recognized for millennia. Its importance is especially poignant in modern theoretical physics as the cost of experiment escalates and the mathematical complexity of physical theories increases. Major challenge: Discover the mathematical mechanisms to define quantum field theory as a mathematical entity, to justify mathematically the recipes used by physicists, and to unify quantum theory with gravity. Classical and quantum mechanics rests on solid mathematical foundations, which were developed over the last two centuries. In contrast, quantum field theory, which plays a central role in modern theoretical physics, lacks a mathematical foundation. The mathematical difficulties involve averaging over infinite-dimensional spaces, which have defied rigorous interpretation and yet are effective in practice according to explicit recipes in physics. For example, the Standard Model of particle physics successfully predicts to a dozen decimals experimental results from high-energy colliders such as CERN or SLAC. Quantum field theory has enjoyed several important successes in the last two decades where a number of models were constructed despite the difficulties described above. In all these cases, the theory admits a large family of symmetries, and the problematic infinite-dimensional averages reduce to averages over smaller ensembles, called moduli spaces, which are in many cases finite-dimensional and permit mathematically rigorous calculations. Also, low-dimensional models unifying gravity with quantum theory have been developed successfully, and the key geometrical objects are again moduli spaces. Quantum geometry, so-named since the quantization arises from geometric methods designed to make a passage from classical geometry to quantum theory, plays the fundamental role in all these constructions.
  • Clay Mathematics Institute 2005 James A

    Clay Mathematics Institute 2005 James A

    Contents Clay Mathematics Institute 2005 James A. Carlson Letter from the President 2 The Prize Problems The Millennium Prize Problems 3 Recognizing Achievement 2005 Clay Research Awards 4 CMI Researchers Summary of 2005 6 Workshops & Conferences CMI Programs & Research Activities Student Programs Collected Works James Arthur Archive 9 Raoul Bott Library CMI Profile Interview with Research Fellow 10 Maria Chudnovsky Feature Article Can Biology Lead to New Theorems? 13 by Bernd Sturmfels CMI Summer Schools Summary 14 Ricci Flow, 3–Manifolds, and Geometry 15 at MSRI Program Overview CMI Senior Scholars Program 17 Institute News Euclid and His Heritage Meeting 18 Appointments & Honors 20 CMI Publications Selected Articles by Research Fellows 27 Books & Videos 28 About CMI Profile of Bow Street Staff 30 CMI Activities 2006 Institute Calendar 32 2005 Euclid: www.claymath.org/euclid James Arthur Collected Works: www.claymath.org/cw/arthur Hanoi Institute of Mathematics: www.math.ac.vn Ramanujan Society: www.ramanujanmathsociety.org $.* $MBZ.BUIFNBUJDT*OTUJUVUF ".4 "NFSJDBO.BUIFNBUJDBM4PDJFUZ In addition to major,0O"VHVTU BUUIFTFDPOE*OUFSOBUJPOBM$POHSFTTPG.BUIFNBUJDJBOT ongoing activities such as JO1BSJT %BWJE)JMCFSUEFMJWFSFEIJTGBNPVTMFDUVSFJOXIJDIIFEFTDSJCFE the summer schools,UXFOUZUISFFQSPCMFNTUIBUXFSFUPQMBZBOJOnVFOUJBMSPMFJONBUIFNBUJDBM the Institute undertakes a 5IF.JMMFOOJVN1SJ[F1SPCMFNT SFTFBSDI"DFOUVSZMBUFS PO.BZ BUBNFFUJOHBUUIF$PMMÒHFEF number of smaller'SBODF UIF$MBZ.BUIFNBUJDT*OTUJUVUF $.* BOOPVODFEUIFDSFBUJPOPGB special projects
  • Newsletter – Fall 2016

    Newsletter – Fall 2016

    Newsletter – Fall 2016 President’s Message by Ashwini Mokashi Welcome to the new PRF academic year of 2016-2017. We are happy to welcome Professor Chiara Nappi, who has graciously agreed to join the Princeton Research Forum Advisory Council. She is currently Professor emeritus in the Department of Physics at Princeton University, and her research areas have included various aspects of particle physics, from mathematical physics to string theory. Professor Nappi has expressed her admiration of PRF’s work and her support for the cause of independent scholarship. Due to her efforts, the Institute for Advanced Study has agreed to advertise PRF to its new and old members. The IAS will also put the PRF members on the list of their public talks. The Princeton University League has agreed to offer membership to the PRF members for a small membership fee. We look forward to having Prof. Nappi fully engaged in PRF activities. The new Humanities Group started meeting at the Mary Jacobs Memorial Library in Rocky Hill, NJ and plans to continue meeting on the first Saturday of each month and to discuss select books in the Humanities area. The Science/Science History Group and the Poetry Group are meeting regularly and going strong. The new cards for the use of Princeton University have arrived. Anyone who needs an access to the Firestone Library should contact Eva Bodanszky and borrow cards from her. The Wine and Cheese event for the fall occurred on November 6 at the house of Winnie Hughes Spar. Thank you, Winnie and Fred for hosting! The fees for the new academic year are due by November 2016.
  • Bois-Marie INSTITUT DES HAUTES ÉTUDES SCIENTIFIQUES

    Bois-Marie INSTITUT DES HAUTES ÉTUDES SCIENTIFIQUES

    NEWSLETTER - APRIL 2010 bois-marie INSTITUT DES HAUTES ÉTUDES SCIENTIFIQUES director’s In fifty years, IHÉS, a private at the request of the Board of Directors, the Institute organised organisation dedicated to a strategy day, in which IHÉS scientific and administrative staff editorial fundamental research, has took part, together with Board members and a large number of managed to reinforce its position representatives from other research institutions. The intensive and to become an international and very frank debates which took place during the day point of reference. Over the proved to be very rewarding. They confirmed the validity and past few years, it has found ways of better securing its future, effectiveness of the model devised by Léon Motchane with the with a pro-active approach, evidenced by the international help of Robert Oppenheimer, when IHÉS was created. Certain fundraising campaigns it has engaged in since 2000. specific points did, however, emerge as areas for improvement, In 2009, against the difficult context of an economic crisis including how the Institute is perceived by the local scientific that shook the world, IHÉS gave further thought to its future community. development.Which is why, for the first time in its history, and The prizes awarded in 2009 are renewed proofs of the quality of the research undertaken at IHÉS, and the appropriateness of a model based on exceptional people, interacting with the global scientific community. This makes the Institute determined to carry on the mission it has pursued since its creation, that is, the development of science at the highest level, with no barriers between the theoretical disciplines studied here.
  • Strings and Geometry

    Strings and Geometry

    Clay Mathematics Proceedings This volume is the proceedings of Volume 3 the 2002 Clay Mathematics Institute 3 School on Geometry and String Theory. This month-long program Strings and was held at the Isaac Newton Institute for Mathematical Sciences in Cambridge, England, and was organized by both mathematicians and physicists: A. Corti, R. Dijkgraaf, M. Douglas, J. Gauntlett, M. Gross, C. Hull, A. Jaffe and M. Reid. The early part of the school had many lectures that introduced various G STRINGS AND concepts of algebraic geometry eometry and string theory with a focus on improving communication between GEOMETRY these two fields. During the latter Proceedings of the part of the program there were also Clay Mathematics Institute a number of research level talks. 2002 Summer School This volume contains a selection of expository and research articles Isaac Newton Institute by lecturers at the school, and D Cambridge, United Kingdom highlights some of the current ouglas, interests of researchers working March 24–April 20, 2002 at the interface between string theory and algebraic geometry. The topics covered include manifolds G Michael Douglas of special holonomy, supergravity, auntlett and Jerome Gauntlett supersymmetry, D-branes, the McKay correspondence and the Mark Gross Fourier-Mukai transform. Editors G ross, Editors CMIP/3 www.ams.org American Mathematical Society AMS www.claymath.org CMI Clay Mathematics Institute 4-color process 392 pages • 3/4” spine STRINGS AND GEOMETRY Clay Mathematics Proceedings Volume 3 STRINGS AND GEOMETRY Proceedings of the Clay Mathematics Institute 2002 Summer School on Strings and Geometry Isaac Newton Institute Cambridge, United Kingdom March 24–April 20, 2002 Michael Douglas Jerome Gauntlett Mark Gross Editors American Mathematical Society Clay Mathematics Institute 2000 Mathematics Subject Classification.
  • New Trends in Teichmüller Theory and Mapping Class Groups

    New Trends in Teichmüller Theory and Mapping Class Groups

    Mathematisches Forschungsinstitut Oberwolfach Report No. 40/2018 DOI: 10.4171/OWR/2018/40 New Trends in Teichm¨uller Theory and Mapping Class Groups Organised by Ken’ichi Ohshika, Osaka Athanase Papadopoulos, Strasbourg Robert C. Penner, Bures-sur-Yvette Anna Wienhard, Heidelberg 2 September – 8 September 2018 Abstract. In this workshop, various topics in Teichm¨uller theory and map- ping class groups were discussed. Twenty-three talks dealing with classical topics and new directions in this field were given. A problem session was organised on Thursday, and we compiled in this report the problems posed there. Mathematics Subject Classification (2010): Primary: 32G15, 30F60, 30F20, 30F45; Secondary: 57N16, 30C62, 20G05, 53A35, 30F45, 14H45, 20F65 IMU Classification: 4 (Geometry); 5 (Topology). Introduction by the Organisers The workshop New Trends in Teichm¨uller Theory and Mapping Class Groups, organised by Ken’ichi Ohshika (Osaka), Athanase Papadopoulos (Strasbourg), Robert Penner (Bures-sur-Yvette) and Anna Wienhard (Heidelberg) was attended by 50 participants, including a number of young researchers, with broad geo- graphic representation from Europe, Asia and the USA. During the five days of the workshop, 23 talks were given, and on Thursday evening, a problem session was organised. Teichm¨uller theory originates in the work of Teichm¨uller on quasi-conformal maps in the 1930s, and the study of mapping class groups was started by Dehn and Nielsen in the 1920s. The subjects are closely interrelated, since the mapping class group is the
  • Annual Report for the Fiscal Year Julyl, 1984 -June 30, 1985

    Annual Report for the Fiscal Year Julyl, 1984 -June 30, 1985

    The Institute for Advanced Study Annual Report 1984/85 The Institute for Advanced Study Annual Report for the Fiscal Year Julyl, 1984 -June 30, 1985 HISTtffilCAl STUDIES- SOCIAL SCIENCE UBRARY THE INSTITUTE FOR ADVANCED STUDY PRINCETON. NEW JERSEY 08540 The Institute for Advanced Study Olden Lane Princeton, New Jersey 08540 U.S.A. Printed by Princeton University Press Originally designed by Bruce Campbell 9^^ It is fundamental to our purpose, and our Extract from the letter addressed by the express desire, that in the appointments to the Founders to the Institute's Trustees, staff and faculty, as well as in the admission dated June 6, 1930, Newark, New Jersey. of workers and students, no account shall he taken, directly or indirectly, of race, religion or sex. We feel strongly that the spirit characteristic of America at its noblest, above all, the pursuit of higher learning, cannot admit of any conditions as to personnel other than those designed to promote the objects for which this institution is established, and particularly with no regard wliatever to accidents of race, creed or sex. 9^'^Z^ Table of Contents Trustees and Officers 9 Administration 10 The Institute for Advanced Study: Background and Purpose 11 Report of the Chairman 13 Report of the Director 15 Reports of the Schools 21 School of Historical Studies 23 School of Mathematics 35 School of Natural Sciences 45 School of Social Science 59 Record of Events, 1984-85 67 Report of the Treasurer 91 Donors 102 Founders Caroline Bamberger Fuld Louis Bamberger Board of Trustees John F. Akers Ralph E.
  • IAS Letter Spring 2004

    IAS Letter Spring 2004

    THE I NSTITUTE L E T T E R INSTITUTE FOR ADVANCED STUDY PRINCETON, NEW JERSEY · SPRING 2004 J. ROBERT OPPENHEIMER CENTENNIAL (1904–1967) uch has been written about J. Robert Oppen- tions. His younger brother, Frank, would also become a Hans Bethe, who would Mheimer. The substance of his life, his intellect, his physicist. later work with Oppen- patrician manner, his leadership of the Los Alamos In 1921, Oppenheimer graduated from the Ethical heimer at Los Alamos: National Laboratory, his political affiliations and post- Culture School of New York at the top of his class. At “In addition to a superb war military/security entanglements, and his early death Harvard, Oppenheimer studied mathematics and sci- literary style, he brought from cancer, are all components of his compelling story. ence, philosophy and Eastern religion, French and Eng- to them a degree of lish literature. He graduated summa cum laude in 1925 sophistication in physics and afterwards went to Cambridge University’s previously unknown in Cavendish Laboratory as research assistant to J. J. the United States. Here Thomson. Bored with routine laboratory work, he went was a man who obviously to the University of Göttingen, in Germany. understood all the deep Göttingen was the place for quantum physics. Oppen- secrets of quantum heimer met and studied with some of the day’s most mechanics, and yet made prominent figures, Max Born and Niels Bohr among it clear that the most them. In 1927, Oppenheimer received his doctorate. In important questions were the same year, he worked with Born on the structure of unanswered.
  • Trustees, Administration, Faculty

    Trustees, Administration, Faculty

    Section Six Trustees, Administration, Faculty 546 Trustees, Administration, Faculty OFFICERS Robert B. Chess (2006) Chairman Nektar Therapeutics Kent Kresa, C hairman Lounette M. Dyer (1998) David L. Lee, V ice Chairman Gilad I. Elbaz (2008) Founder Jean-Lou Chameau, President Factual Inc. Edward M. Stolper, Provost William T. Gross (1994) C hairman and Founder Dean W. Currie Idealab V ice President for Business and Frederick J. Hameetman (2006) Finance Chairman Charles Elachi Cal American Vice President and Director, Jet R obert T. Jenkins (2005) Propulsion Laboratory Peter D. Kaufman (2008) Peter D. Hero Chairman and CEO Vice President for Glenair, Inc. Development and Institute Jon Faiz Kayyem (2006) Relations CEO Sharon E. Patterson Osmetech PLC Associate Vice President for Louise Kirkbride (1995) Finance and Treasurer Board Member Scott Richland State of California Contractors Chief Investment Officer State License Board Anneila I. Sargent Jon B. Kutler (2005) Vice President for Student Chairman and CEO Affairs Admiralty Partners, Inc. Victoria D. Stratman Louis J. Lavigne Jr. (2009) General Counsel Management Consultant Mary L. Webster Lavigne Group Secretary David Li Lee (2000) Managing General Partner Clarity Partners, L.P. BOARD OF TRUSTEES York Liao (1997) Managing Director Winbridge Company Ltd. Trustees Alexander Lidow (1998) (with date of first election) CEO EPC Corporation Robert C. Bonner (2008) Ronald K. Linde (1989) Senior Partner Independent Investor Sentinel HS Group, L.L.C. Chair, The Ronald and Maxine Brigitte M. Bren (2009) Linde Foundation John E. Bryson (2005) Founder/Former CEO Chairman and CEO (Retired) Envirodyne Industries, Inc. Edison International Shirley M. Malcom (1999) Jean-Lou Chameau (2006) Director, Education and Human President Resources Programs California Institute of Technology American Association for the Milton Chang (2005) Advancement of Science Managing Director Deborah McWhinney (2007) President Incubic Venture Capital 547 John S.
  • Confluence of Cosmology, Massive Neutrinos, Elementary Particles, and Gravitation Confluence of Cosmology, Massive Neutrinos, Elementary Particles, and Gravitation

    Confluence of Cosmology, Massive Neutrinos, Elementary Particles, and Gravitation Confluence of Cosmology, Massive Neutrinos, Elementary Particles, and Gravitation

    Confluence of Cosmology, Massive Neutrinos, Elementary Particles, and Gravitation Confluence of Cosmology, Massive Neutrinos, Elementary Particles, and Gravitation Edited by Behram N. Kursunoglu Global Foundation, Inc. Coral Gables, Florida Stephan L. Mintz Florida International University Miami, Florida and Arnold Perlmutter University of Miami Coral Gables, Florida Kluwer Academic Publishers New York, Boston, Dordrecht, London, Moscow eBook ISBN: 0-306-47094-2 Print ISBN: 0-306-46208-7 ©2002 Kluwer Academic Publishers New York, Boston, Dordrecht, London, Moscow All rights reserved No part of this eBook may be reproduced or transmitted in any form or by any means, electronic, mechanical, recording, or otherwise, without written consent from the Publisher Created in the United States of America Visit Kluwer Online at: http://www.kluweronline.com and Kluwer's eBookstore at: http://www.ebooks.kluweronline.com PREFACE Just before the preliminary program of Orbis Scientiae 1998 went to press the news in physics was suddenly dominated by the discovery that neutrinos are, after all, massive particles. This was predicted by some physicists including Dr. Behram Kusunoglu, who had a paper published on this subject in 1976 in the Physical Review. Massive neutrinos do not necessarily simplify the physics of elementary particles but they do give elementary particle physics a new direction. If the dark matter content of the universe turns out to consist of neutrinos, the fact that they are massive should make an impact on cosmology. Some of the papers in this volume have attempted to provide answers to these questions. We have a long way to go before we find the real reasons for nature’s creation of neutrinos.
  • Chiara Rosanna Nappi 2013 Book.Pdf

    Chiara Rosanna Nappi 2013 Book.Pdf

    Princeton University Honors Faculty Members Receiving Emeritus Status May 2013 The biographical sketches were written by colleagues in the departments of those honored, except where noted. Copyright © 2013 by The Trustees of Princeton University 350509-13 Contents Faculty Members Receiving Emeritus Status Leonard Harvey Babby 1 Mark Robert Cohen 4 Martin C. Collcutt 6 John Horton Conway 10 Edward Charles Cox 14 Frederick Lewis Dryer 16 Thomas Jeffrey Espenshade 19 Jacques Robert Fresco 22 Charles Gordon Gross 24 András Peter Hámori 28 Marie-Hélène Huet 30 Morton Daniel Kostin 32 Heath W. Lowry 34 Richard Bryant Miles 36 Chiara Rosanna Nappi 39 Susan Naquin 42 Edward Nelson 44 John Abel Pinto 47 Albert Jordy Raboteau 49 François P. Rigolot 54 Daniel T. Rodgers 57 Gilbert Friedell Rozman 61 Peter Schäfer 64 José A. Scheinkman 68 Anne-Marie Slaughter 71 Robert Harry Socolow 74 Zoltán G. Soos 78 Eric Hector Vanmarcke 81 Maurizio Viroli 83 Frank Niels von Hippel 85 Andrew John Wiles 87 Michael George Wood 89 Chiara Rosanna Nappi Chiara Nappi is a theoretical physicist who has made important contributions to a broad range of problems in modern particle theory. She served as senior research physicist at Princeton from 1983 to 1988, was a long-term member of the Institute for Advanced Study from 1988 to 2001, and was appointed professor of physics at Princeton in 2001. She has been a valued member of the Princeton theoretical physics community for thirty years and, in her years as a Princeton faculty member, a powerful and outspoken advocate for improving the educational and social experience of physics students.