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Traversable Wormholes and Regenesis
Traversable Wormholes and Regenesis The Harvard community has made this article openly available. Please share how this access benefits you. Your story matters Citation Gao, Ping. 2019. Traversable Wormholes and Regenesis. Doctoral dissertation, Harvard University, Graduate School of Arts & Sciences. Citable link http://nrs.harvard.edu/urn-3:HUL.InstRepos:42029626 Terms of Use This article was downloaded from Harvard University’s DASH repository, and is made available under the terms and conditions applicable to Other Posted Material, as set forth at http:// nrs.harvard.edu/urn-3:HUL.InstRepos:dash.current.terms-of- use#LAA Traversable Wormholes and Regenesis A dissertation presented by Ping Gao to The Department of Physics in partial fulfillment of the requirements for the degree of Doctor of Philosophy in the subject of Physics Harvard University Cambridge, Massachusetts April 2019 c 2019 | Ping Gao All rights reserved. Dissertation Advisor: Daniel Louis Jafferis Ping Gao Traversable Wormholes and Regenesis Abstract In this dissertation we study a novel solution of traversable wormholes in the context of AdS/CFT. This type of traversable wormhole is the first such solution that has been shown to be embeddable in a UV complete theory of gravity. We discuss its property from points of view of both semiclassical gravity and general chaotic system. On gravity side, after turning on an interaction that couples the two boundaries of an eternal BTZ black hole, in chapter 2 we find a quantum matter stress tensor with negative average null energy, whose gravitational backreaction renders the Einstein-Rosen bridge traversable. Such a traversable wormhole has an interesting interpretation in the context of ER=EPR, which we suggest might be related to quantum teleportation. -
Euler Characteris*Cs of Crepant Resolu*Ons of Weierstrass Models
Euler characteris-cs of crepant resolu-ons of Weierstrass models Jonathan Mboyo Esole Northeastern University Collaborators • Paolo Aluffi • James Fullwood • Ravi Jagadassan • Patrick Jefferson • Monica Kang • Sabrina Pasterski • Julian Salazar • Shu-Heng Shao • Shing-Tung Yau Topology was first a dream of Leibniz “I am s'll not sa'sfied with algebra, in that it yields neither the shortest proofs nor the most beau'ful construcons of geometry. Consequently, in view of this, I consider that we need yet another kind of analysis, geometric or linear, which deals directly with posi'on, as algebra deals with magnitude.” Leibniz’s leDer to Huygens, September 8, 1679. Seven bridges of Königsberg Königsberg is a medieval city on the Pregal river with two big islands on the river and exactly seven bridges connec-ng the islands and the banks. Photo credit: Wikipedia. Seven bridges of Königsberg Ehler introduced the following famous problem to Euler: Is there a route which crosses every bridges once and only once? Euler’s negave solu-on to the problem gave birth to both graph theory and topology. Photo credit: Wikipedia. Euler formula for regular polyhedra Euler also gave us the first topological invariant, the Euler characteris-c. χ = E V + F − E : = number of edges V := number of ver-ces F := number of faces Euler-Poincaré characteris-c Given a smooth manifold M, its Euler-Poincaré characteris-c is a topological invariant given by the alternang sum of Be numbers: χ(M):=β β + β + +( 1)nβ 0 − 1 2 ··· − n βi is the i-th Betti number of M Gauss-Bonnet Theorem The Gauss-Bonnet Theorem expresses the Euler characteris-c Of a manifold by its curvature: KdM=2⇡(M) Z It relates a differen-al geometric invariant with a tological one. -
The Shape of Inner Space Provides a Vibrant Tour Through the Strange and Wondrous Possibility SPACE INNER
SCIENCE/MATHEMATICS SHING-TUNG $30.00 US / $36.00 CAN Praise for YAU & and the STEVE NADIS STRING THEORY THE SHAPE OF tring theory—meant to reconcile the INNER SPACE incompatibility of our two most successful GEOMETRY of the UNIVERSE’S theories of physics, general relativity and “The Shape of Inner Space provides a vibrant tour through the strange and wondrous possibility INNER SPACE THE quantum mechanics—holds that the particles that the three spatial dimensions we see may not be the only ones that exist. Told by one of the Sand forces of nature are the result of the vibrations of tiny masters of the subject, the book gives an in-depth account of one of the most exciting HIDDEN DIMENSIONS “strings,” and that we live in a universe of ten dimensions, and controversial developments in modern theoretical physics.” —BRIAN GREENE, Professor of © Susan Towne Gilbert © Susan Towne four of which we can experience, and six that are curled up Mathematics & Physics, Columbia University, SHAPE in elaborate, twisted shapes called Calabi-Yau manifolds. Shing-Tung Yau author of The Fabric of the Cosmos and The Elegant Universe has been a professor of mathematics at Harvard since These spaces are so minuscule we’ll probably never see 1987 and is the current department chair. Yau is the winner “Einstein’s vision of physical laws emerging from the shape of space has been expanded by the higher them directly; nevertheless, the geometry of this secret dimensions of string theory. This vision has transformed not only modern physics, but also modern of the Fields Medal, the National Medal of Science, the realm may hold the key to the most important physical mathematics. -
Jonathan Mboyo Esole Education Academic
APRIL 2016 JONATHAN MBOYO ESOLE HARVARD UNIVERSITY• MATH DEPARMENT • 1 OXFORD STREET • CAMBRIDGE• MA 02138 • USA EMAIL:ESOLE ( AT) MATH.HARVARD.EDU PERSONAL WEBSITE: WWW.MATH.HARVARD.EDU/~ESOLE Jonathan Mboyo ESOLE is a Benjamin Peirce Fellow in the Mathematics Department at Harvard University and a member of the Harvard University Center for the Fundamental Law of Nature. He is interested in the interface of mathematics and physics, especially the study of (algebraic) geometric and arithmetic aspects of string theory. He is currently working on elliptic fibrations, topological invariants of singular varieties and conformal field theories. His research is supported by grant from the National Science Foundation (NSF) for his research on the mathematics of elliptic fibrations and its applications to physics. He is a recipient of the Ford Fellowship, and the Marie-Curie Fellowship. EDUCATION n Lorentz Institute, Leiden University November 2006 PhD, Mathematics and Physical Sciences. Supervisor: Professor A. Achúcarro n University of Cambridge, Clare Hall College June 2002 Certificate of Advanced Study in Mathematics, Cambridge, UK Academic mentor: Professor F. Quevado n Université Libre de Bruxelles September 2001 Master degree in Mathematics, Brussels (Summa Cum Laude) Supervisor : Professor Marc Henneaux (Franqui Prize winner) ACADEMIC APPOINTMENT § Northeastern University (Department of Mathematics) Starting in September 2016 Assistant Professor § Harvard University (Department of Mathematics) July 2013-June 2016 Benjamin Peirce Fellow (Assistant Professor) § Harvard University (Department of Mathematics) October 2009-June 2013 Research Fellow & Lecturer on Mathematics, Academic mentor: Professor S.T. Yau § Harvard University (Physics Department) February 2008- September 2009 Post-Doctoral Fellow. Academic mentor: Professor F. Denef § KU Leuven (Physics Department) January 2007- January 2008 Marie-Curie Fellow. -
Models of Particle Physics from Type Iib String Theory and F-Theory: a Review
International Journal of Modern Physics A HRI/ST/1212 c World Scientific Publishing Company CPHT-RR088.1112 MODELS OF PARTICLE PHYSICS FROM TYPE IIB STRING THEORY AND F-THEORY: A REVIEW ANSHUMAN MAHARANA Harish-Chandra Research Institute Chhatnag Road, Jhusi Allahabad 211 019, India. [email protected] ERAN PALTI Centre de Physique Theorique, Ecole Polytechnique, CNRS, F-91128 Palaiseau, France. [email protected] We review particle physics model building in type IIB string theory and F-theory. This is a region in the landscape where in principle many of the key ingredients required for a realistic model of particle physics can be combined successfully. We begin by reviewing moduli stabilisation within this framework and its implications for supersymmetry breaking. We then review model building tools and developments in the weakly coupled type IIB limit, for both local D3-branes at singularities and global models of intersecting D7-branes. Much of recent model building work has been in the strongly coupled regime of F-theory due to the presence of exceptional symmetries which allow for the construction of phenomenologically appealing Grand Unified Theories. We review both local and global F-theory model building starting from the fundamental concepts and tools regarding how the gauge group, matter sector and operators arise, and ranging to detailed phenomenological properties explored in the literature. Keywords: String Phenomenology; Type IIB; F-theory. arXiv:1212.0555v1 [hep-th] 3 Dec 2012 1 2 ANSHUMAN MAHARANA and ERAN PALTI Contents 1 Introduction 3 2 Moduli Fields and Their Stabilisation 5 2.1 Kahler Moduli Stabilisation . -
2020 Activity Report
2020 ANNUAL REPORT Table of contents 1 Word of welcome from the President 2 The Foundation 3 Thank you to Catheline Périer-D’Ieteren 5 Fellowship programme 10 Thank you, Nicole! 12 Ganshof van der Meersch Chair 15 Research projects 18 Interview with Peter Coveney 20 News from our Alumni 22 Other funded initiatives 23 Communication Fondation Philippe Wiener - Maurice Anspach | 2020 Annual Report WORD OF WELCOME FROM THE PRESIDENT While at the start of the year we imagined that preparing for Brexit would be our main concern, we had to respond to the most pressing needs and focus our attention on managing the effects of the pandemic on international mobility This 2020 report can only open with the mention of the terrible and the Chairman of the Finance Committee, Professor Eric pandemic that has disrupted the entire world. Academic life has De Keuleneer, the Foundation’s financial situation is stable and not escaped the constraints of the successive confinements, positive. This will enable us to continue with confidence our nor the permanent uncertainty that the epidemic has work and strengthen support for the collaborations between confronted us with. Faced with the seriousness of the situation ULB and the Universities of Cambridge and Oxford, despite and the multiple damages (not only in terms of health, which the effective exit of the United Kingdom from the European is of course essential!), the Foundation was keen to provide Union. I thank them both very warmly for their efficient action. the best possible support to its fellows and to find, together with them, the most flexible solutions. -
Program of the Sessions San Diego, California, January 10–13, 2018
Program of the Sessions San Diego, California, January 10–13, 2018 Monday, January 8 AMS Short Course Reception AMS Short Course on Discrete Differential 5:00 PM –6:00PM Room 5B, Upper Level, Geometry, Part I San Diego Convention Center 8:00 AM –5:00PM Room 5A, Upper Level, San Diego Convention Center 8:00AM Introduction & Overview Tuesday, January 9 8:30AM Discrete Laplace operators - theory. (1) Max Wardetzky, University of Goettingen AMS Short Course on Discrete Differential 9:30AM Break Geometry, Part II 9:50AM Discrete Laplace operators - applications. (2) Max Wardetzky, University of Goettingen 8:00 AM –5:00PM Room 5A, Upper Level, San Diego Convention Center 10:50AM Break 11:10AM Discrete parametric surfaces - theory. 8:00AM Discrete mappings - theory. (3) Johannes Wallner,TUGraz (5) Yaron Lipman, Weizmann Institute of 12:10PM Lunch Science 1:30PM Discrete parametric surfaces - 9:00AM Break (4) applications. 9:20AM Discrete mappings - applications. Johannes Wallner,TUGraz (6) Yaron Lipman, Weizmann Institute of 2:30PM Free Time Science 3:30PM Demo Session 10:20AM Break 10:40AM Discrete conformal geometry - theory. NSF-EHR Grant Proposal Writing Workshop (7) Keenan Crane,CarnegieMellon University 3:00 PM –6:00PM Coronado Room, 4th Floor, 11:40AM Lunch South Tower, Marriott Marquis San Diego Marina 1:00PM Discrete conformal geometry - Organizers: Ron Buckmire,National (8) applications. Science Foundation Keenan Crane,CarnegieMellon Lee Zia, National Science University Foundation 2:00PM Break The time limit for each AMS contributed paper in the sessions meeting will be found in Volume 39, Issue 1 of Abstracts is ten minutes. The time limit for each MAA contributed of papers presented to the American Mathematical Society, paper varies. -
The Sachdev-Ye-Kitaev Model and Matter Without Quasiparticles
The Sachdev-Ye-Kitaev model and matter without quasiparticles a dissertation presented by Wenbo Fu to The Department of Physics in partial fulfillment of the requirements for the degree of Doctor of Philosophy in the subject of Physics Harvard University Cambridge, Massachusetts May 2018 © 2018 - Wenbo Fu All rights reserved. Thesis advisor: Subir Sachdev Wenbo Fu The Sachdev-Ye-Kitaev model and matter without quasiparticles Abstract This thesis is devoted to the study of Sachdev-Ye-Kitaev (SYK) models, which describe matter without quasiparticles. The SYK model is an exactly solvable model that is hoped to bring insights into the understanding of strongly correlated materials. The main part discusses different aspects of SYK models. Chapter 2 presents numerical studies of the SYK models, shows its non-Fermi liquid nature and verifies the analytical predictions on two-point function and thermal entropies. Chapter 3 considers the thermody- namic and transport properties of the complex SYK models in higher dimensional general- izations, we show some universal relations obtained from SYK models which are consistent with holographic theories. Chapter 4 discusses a supersymmetric generalization of the SYK model. We show a different a scaling from the normal SYK model both analytically and numerically. We also discuss a different origin of the extensive zero temperature entropy in N = 2 theory. Chapter 5 considers a continuous set of boson-fermion SYK models with a tunable low-energy scaling dimension. From the explicit computation of out of time or- dered correlators, we find the theory is less chaotic in the free fermion limit. Chapter6 describes the phases of a solvable t-J model of electrons with an SYK-like form. -
Standing with Dr. Timnit Gebru — #Isupporttimnit #Believeblackwomen
Google Walkout For Real Change 810 Followers · About Follow Sign in Get started Standing with Dr. Timnit Gebru — #ISupportTimnit #BelieveBlackWomen Google Walkout For Real Change 2 days ago · 83 min read We, the undersigned, stand in solidarity with Dr. Timnit Gebru, who was terminated from her position as Sta Research Scientist and Co-Lead of Ethical Articial Intelligence (AI) team at Google, following unprecedented research censorship. We call on Google Research to strengthen its commitment to research integrity and to unequivocally commit to supporting research that honors the commitments made in Google’s AI Principles. Until December 2, 2020, Dr. Gebru was one of very few Black women Research Scientists at the company, which boasts a dismal 1.6% Black women employees overall. Her research accomplishments are extensive, and have profoundly impacted academic scholarship and public policy. Dr. Gebru is a pathbreaking scientist doing some of the most important work to ensure just and accountable AI and to create a welcoming and diverse AI research Deld. Instead of being embraced by Google as an exceptionally talented and prolic contributor, Dr. Gebru has faced defensiveness, racism, gaslighting, research censorship, and now a retaliatory Dring. In an email to Dr. Gebru’s team on the evening of December 2, 2020, Google executives claimed that she had chosen to resign. This is false. In their direct correspondence with Dr. Gebru, these executives informed her that her termination was immediate, and pointed to an email she sent to a Google Brain diversity and inclusion mailing list as pretext. The contents of this email are important.