Non-Geometric Five-Branes in Heterotic Supergravity
Total Page:16
File Type:pdf, Size:1020Kb
Load more
Recommended publications
-
On the Holographic S–Matrix
View metadata, citation and similar papers at core.ac.uk brought to you by CORE provided by CERN Document Server On the Holographic S{matrix I.Ya.Aref’eva Steklov Mathematical Institute, Russian Academy of Sciences Gubkin St.8, GSP-1, 117966, Moscow, Russia Centro Vito Volterra, Universita di Roma Tor Vergata, Italy [email protected] Abstract The recent proposal by Polchinski and Susskind for the holographic flat space S– matrix is discussed. By using Feynman diagrams we argue that in principle all the information about the S–matrix in the interacting field theory in the bulk of the anti- de Sitter space is encoded into the data on the timelike boundary. The problem of locality of interpolating field is discussed and it is suggested that the interpolating field lives in a quantum Boltzmannian Hilbert space. 1 According to the holographic principle [1, 2] one should describe a field theory on a manifold M which includes gravity by a theory which lives on the boundary of M.Two prominent examples of the holography are the Matrix theory [3] and the AdS/CFT corre- spondence [4, 5, 6]. The relation between quantum gravity in the anti-de Sitter space and the gauge theory on the boundary could be useful for better understanding of both theories. In principle CFT might teach us about quantum gravity in the bulk of AdS. Correlation functions in the Euclidean formulation are the subject of intensive study (see for example [7]-[21]). The AdS/CFT correspondence in the Lorentz formulation is considered in [22]-[29]. -
String Theory in Magnetic Monopole Backgrounds
View metadata, citation and similar papers at core.ac.uk brought to you by CORE provided by CERN Document Server EFI-98-58, ILL-(TH)-98-06 hep-th/9812027 String Theory in Magnetic Monopole Backgrounds David Kutasov1,FinnLarsen1, and Robert G. Leigh2 1Enrico Fermi Institute, University of Chicago, 5640 S. Ellis Av., Chicago, IL 60637 2Department of Physics, University of Illinois at Urbana-Champaign, Urbana, IL 61801 We discuss string propagation in the near-horizon geometry generated by Neveu-Schwarz fivebranes, Kaluza-Klein monopoles and fundamental strings. When the fivebranes and KK monopoles are wrapped around a compact four-manifold , the geometry is AdS S3/ZZ and the M 3 × N ×M spacetime dynamics is expected to correspond to a local two dimensional conformal field theory. We determine the moduli space of spacetime CFT’s, study the spectrum of the theory and compare the chiral primary operators obtained in string theory to supergravity expectations. 12/98 1. Introduction It is currently believed that many (perhaps all) vacua of string theory have the prop- erty that their spacetime dynamics can be alternatively described by a theory without gravity [1,2,3,4]. This theory is in general non-local, but in certain special cases it is ex- pected to become a local quantum field theory (QFT). It is surprising that string dynamics can be equivalent to a local QFT. A better understanding of this equivalence would have numerous applications to strongly coupled gauge theory, black hole physics and a non- perturbative formulation of string theory. An important class of examples for which string dynamics is described by local QFT is string propagation on manifolds that include an anti-de-Sitter spacetime AdSp+1[3,5,6]. -
A Note on Six-Dimensional Gauge Theories
ILL-(TH)-97-09 hep-th/9712168 A Note on Six-Dimensional Gauge Theories Robert G. Leigh∗† and Moshe Rozali‡ Department of Physics University of Illinois at Urbana-Champaign Urbana, IL 61801 July 9, 2018 Abstract We study the new “gauge” theories in 5+1 dimensions, and their non- commutative generalizations. We argue that the θ-term and the non-commutative torus parameters appear on an equal footing in the non-critical string theories which define the gauge theories. The use of these theories as a Matrix descrip- tion of M-theory on T 5, as well as a closely related realization as 5-branes in type IIB string theory, proves useful in studying some of their properties. arXiv:hep-th/9712168v2 14 Apr 1998 ∗U.S. Department of Energy Outstanding Junior Investigator †e-mail: [email protected] ‡e-mail: [email protected] 0 1 Introduction Matrix theory[1] is an attempt at a non-perturbative formulation of M-theory in the lightcone frame. Compactifying it on a torus T d has been shown to be related to the large N limit of Super-Yang-Mills (SYM) theory in d + 1 dimensions[2]. This description is necessarily only partial for d > 3, since the SYM theory is then not renormalizable. The SYM theory is defined, for d = 4 by the (2,0) superconformal field theory in 5+1 dimensions [3, 4], and for d = 5 by a non-critical string theory in 5+1 dimensions [4, 5]. The situation of compactifications to lower dimensions is unclear for now (for recent reviews see [7, 8]). -
Random Matrix Theory in Physics
RANDOM MATRIX THEORY IN PHYSICS π π Thomas Guhr, Lunds Universitet, Lund, Sweden p(W)(s) = s exp s2 : (2) 2 − 4 As shown in Figure 2, the Wigner surmise excludes de- Introduction generacies, p(W)(0) = 0, the levels repel each other. This is only possible if they are correlated. Thus, the Poisson We wish to study energy correlations of quantum spec- law and the Wigner surmise reflect the absence or the tra. Suppose the spectrum of a quantum system has presence of energy correlations, respectively. been measured or calculated. All levels in the total spec- trum having the same quantum numbers form one par- ticular subspectrum. Its energy levels are at positions 1.0 xn; n = 1; 2; : : : ; N, say. We assume that N, the num- ber of levels in this subspectrum, is large. With a proper ) s smoothing procedure, we obtain the level density R1(x), ( 0.5 i.e. the probability density of finding a level at the energy p x. As indicated in the top part of Figure 1, the level density R1(x) increases with x for most physics systems. 0.0 In the present context, however, we are not so interested 0 1 2 3 in the level density. We want to measure the spectral cor- s relations independently of it. Hence, we have to remove FIG. 2. Wigner surmise (solid) and Poisson law (dashed). the level density from the subspectrum. This is referred to as unfolding. We introduce a new dimensionless en- Now, the question arises: If these correlation patterns ergy scale ξ such that dξ = R (x)dx. -
JT Gravity and Random Matrix Ensembles
JT Gravity And Random Matrix Ensembles Edward Witten Strings 2019, Brussels I will describe an extension of this work (Stanford and EW, \JT Gravity And The Ensembles of Random Matrix Theory," arXiv:1907:xxxxx). We generalized the story to include * time-reversal symmetry * fermions * N = 1 supersymmetry This morning Steve Shenker reported on random matrices and JT gravity (Saad, Shenker, and Stanford, \JT Gravity as a Matrix Integral" arXiv:1903.11115 ). * time-reversal symmetry * fermions * N = 1 supersymmetry This morning Steve Shenker reported on random matrices and JT gravity (Saad, Shenker, and Stanford, \JT Gravity as a Matrix Integral" arXiv:1903.11115 ). I will describe an extension of this work (Stanford and EW, \JT Gravity And The Ensembles of Random Matrix Theory," arXiv:1907:xxxxx). We generalized the story to include * fermions * N = 1 supersymmetry This morning Steve Shenker reported on random matrices and JT gravity (Saad, Shenker, and Stanford, \JT Gravity as a Matrix Integral" arXiv:1903.11115 ). I will describe an extension of this work (Stanford and EW, \JT Gravity And The Ensembles of Random Matrix Theory," arXiv:1907:xxxxx). We generalized the story to include * time-reversal symmetry * N = 1 supersymmetry This morning Steve Shenker reported on random matrices and JT gravity (Saad, Shenker, and Stanford, \JT Gravity as a Matrix Integral" arXiv:1903.11115 ). I will describe an extension of this work (Stanford and EW, \JT Gravity And The Ensembles of Random Matrix Theory," arXiv:1907:xxxxx). We generalized the story to include * time-reversal symmetry * fermions This morning Steve Shenker reported on random matrices and JT gravity (Saad, Shenker, and Stanford, \JT Gravity as a Matrix Integral" arXiv:1903.11115 ). -
D-Brane Actions and N = 2 Supergravity Solutions
D-Brane Actions and N =2Supergravity Solutions Thesis by Calin Ciocarlie In Partial Fulfillment of the Requirements for the Degree of Doctor of Philosophy California Institute of Technology Pasadena, California 2004 (Submitted May 20 , 2004) ii c 2004 Calin Ciocarlie All Rights Reserved iii Acknowledgements I would like to express my gratitude to the people who have taught me Physics throughout my education. My thesis advisor John Schwarz has given me insightful guidance and invaluable advice. I benefited a lot by collaborating with outstanding colleagues: Iosif Bena, Iouri Chepelev, Peter Lee, Jongwon Park. I have also bene- fited from interesting discussions with Vadim Borokhov, Jaume Gomis, Prof. Anton Kapustin, Tristan McLoughlin, Yuji Okawa, and Arkadas Ozakin. I am also thankful to my Physics teacher Violeta Grigorie who’s enthusiasm for Physics is contagious and to my family for constant support and encouragement in my academic pursuits. iv Abstract Among the most remarkable recent developments in string theory are the AdS/CFT duality, as proposed by Maldacena, and the emergence of noncommutative geometry. It has been known for some time that for a system of almost coincident D-branes the transverse displacements that represent the collective coordinates of the system become matrix-valued transforming in the adjoint representation of U(N). From a geometrical point of view this is rather surprising but, as we will see in Chapter 2, it is closely related to the noncommutative descriptions of D-branes. A consequence of the collective coordinates becoming matrix-valued is the ap- pearance of a “dielectric” effect in which D-branes can become polarized into higher- dimensional fuzzy D-branes. -
Three Approaches to M-Theory
Three Approaches to M-theory Luca Carlevaro PhD. thesis submitted to obtain the degree of \docteur `es sciences de l'Universit´e de Neuch^atel" on monday, the 25th of september 2006 PhD. advisors: Prof. Jean-Pierre Derendinger Prof. Adel Bilal Thesis comittee: Prof. Matthias Blau Prof. Matthias R. Gaberdiel Universit´e de Neuch^atel Facult´e des Sciences Institut de Physique Rue A.-L. Breguet 1 CH-2001 Neuch^atel Suisse This thesis is based on researches supported the Swiss National Science Foundation and the Commission of the European Communities under contract MRTN-CT-2004-005104. i Mots-cl´es: Th´eorie des cordes, Th´eorie de M(atrice) , condensation de gaugino, brisure de supersym´etrie en th´eorie M effective, effets d'instantons de membrane, sym´etries cach´ees de la supergravit´e, conjecture sur E10 Keywords: String theory, M(atrix) theory, gaugino condensation, supersymmetry breaking in effective M-theory, membrane instanton effects, hidden symmetries in supergravity, E10 con- jecture ii Summary: Since the early days of its discovery, when the term was used to characterise the quantum com- pletion of eleven-dimensional supergravity and to determine the strong-coupling limit of type IIA superstring theory, the idea of M-theory has developed with time into a unifying framework for all known superstring the- ories. This evolution in conception has followed the progressive discovery of a large web of dualities relating seemingly dissimilar string theories, such as theories of closed and oriented strings (type II theories), of closed and open unoriented strings (type I theory), and theories with built in gauge groups (heterotic theories). -
Pos(TASI2017)015
The String Landscape, the Swampland, and the Missing Corner PoS(TASI2017)015 T. Daniel Brennana, Federico Cartab,∗ and Cumrun Vafayc a Department of Physics and Astronomy, Rutgers University 126 Frelinghuysen Rd., Piscataway NJ 08855, USA b Instituto de Física Teórica UAM-CSIC, Universidad Autónoma de Madrid, Cantoblanco, 28049 Madrid, Spain c Jefferson Physical Laboratory, Harvard University Cambridge, MA 02138, USA Email: [email protected], [email protected], [email protected] We give a brief overview of the string landscape and techniques used to construct string com- pactifications. We then explain how this motivates the notion of the swampland and review a number of conjectures that attempt to characterize theories in the swampland. We also compare holography in the context of superstrings with the similar, but much simpler case of topological string theory. For topological strings, there is a direct definition of topological gravity based on a sum over a “quantum gravitational foam.” In this context, holography is the statement of an identification between a gravity and gauge theory, both of which are defined independently of one another. This points to a missing corner in string dualities which suggests the search for a direct definition of quantum theory of gravity rather than relying on its strongly coupled holographic dual as an adequate substitute (Based on TASI 2017 lectures given by C. Vafa). Theoretical Advanced Study Institute in Elementary Partical Physics (TASI): “Physics at the Fundamental Frontier” University of Colorado, Boulder Boulder, CO June, 5 – 30 2017 ∗La Caixa-Severo Ochoa Scholar ySpeaker. c Copyright owned by the author(s) under the terms of the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License (CC BY-NC-ND 4.0). -
String Theory and M-Theory: a Modern Introduction Katrin Becker, Melanie Becker, and John H
Cambridge University Press 978-0-521-86069-7 - String Theory and M-Theory: A Modern Introduction Katrin Becker, Melanie Becker, and John H. Schwarz Frontmatter More information STRING THEORY AND M-THEORY A MODERN INTRODUCTION String theory is one of the most exciting and challenging areas of modern theoretical physics. This book guides the reader from the basics of string theory to very recent developments at the frontier of string theory research. The book begins with the basics of perturbative string theory, world-sheet supersymmetry, space-time supersymmetry, conformal field theory and the heterotic string, and moves on to describe modern developments, including D-branes, string dualities and M-theory. It then covers string geometry (including Calabi–Yau compactifications) and flux compactifications, and applications to cosmology and particle physics. One chapter is dedicated to black holes in string theory and M-theory, and the microscopic origin of black-hole entropy. The book concludes by presenting matrix theory, AdS/CFT duality and its generalizations. This book is ideal for graduate students studying modern string theory, and it will make an excellent textbook for a 1-year course on string theory. It will also be useful for researchers interested in learning about developments in modern string theory. The book contains about 120 solved exercises, as well as about 200 homework problems, solutions of which are available for lecturers on a pass- word protected website at www.cambridge.org/9780521860697. K ATRIN B ECKER is a Professor of physics at Texas A & M University. She was awarded the Radcliffe Fellowship from Harvard University in 2006 and received the Alfred Sloan Fellowship in 2003. -
World-Volume Effective Actions of Exotic Five-Branes
KEK-TH-1725 TIT/HEP-635 World-volume Effective Actions of Exotic Five-branes Tetsuji Kimura a, Shin Sasaki b and Masaya Yata c a Department of Physics, Tokyo Institute of Technology Tokyo 152-8551, JAPAN tetsuji at th.phys.titech.ac.jp b Department of Physics, Kitasato University Sagamihara 252-0373, JAPAN shin-s at kitasato-u.ac.jp c KEK Theory Center, Institute of Particle and Nuclear Studies, High Energy Accelerator Research Organization (KEK) Tsukuba, Ibaraki 305-0801, JAPAN yata at post.kek.jp Abstract: arXiv:1404.5442v3 [hep-th] 9 Nov 2015 2 We construct world-volume effective actions of exotic 52-branes in type IIA and IIB string theories. The effective actions are given in fully space-time covariant forms with two Killing vectors associated with background isometries. The effective theories are governed by the six-dimensional = (2, 0) tensor multiplet and = (1, 1) vector multiplet, respectively. N 2N Performing the S-duality transformation to the 52-brane effective action in type IIB string 2 theory, we also work out the world-volume action of the 53-brane. We discuss some additional issues relevant to the exotic five-branes in type I and heterotic string theories. 1 Introduction D-branes are key ingredients to understand the whole picture of string theories. It is known that the D-branes play a part in non-perturbative effects of string and gauge theories and have been studied extensively. D-branes are dynamical objects and have its geometrical origin in supergravity theories. There are other various extended objects in string theories, such as Kaluza-Klein (KK) monopoles and NS5-branes. -
Why Is the Matrix Model Correct?
View metadata, citation and similar papers at core.ac.uk brought to you by CORE provided by CERN Document Server hep-th/9710009 IASSNS-HEP-97/108 Why is the Matrix Mo del Correct? 1 Nathan Seib erg School of Natural Sciences Institute for Advanced Study Princeton, NJ 08540, USA We consider the compacti cation of M theory on a light-like circle as a limit of a compacti cation on a small spatial circle b o osted by a large amount. Assuming that the compacti cation on a small spatial circle is weakly cou- pled typ e IIA theory, we derive Susskind's conjecture that M theory com- pacti ed on a light-like circle is given by the nite N version of the Matrix mo del of Banks, Fischler, Shenker and Susskind. This p oint of view pro- vides a uniform derivation of the Matrix mo del for M theory compacti ed p on a transverse torus T for p = 0; :::; 5 and clari es the diculties for larger values of p. 10/97 1 seib [email protected] Ab out a year ago Banks, Fischler, Shenker and Susskind (BFSS) [1] prop osed an amazingly simple conjecture relating M theory in the in nite momentum frame to a certain p quantum mechanical system. The extension to compacti cations on tori T for p =1; :::; 5 was worked out in [1-5]. This prop osal was based on the compacti cation of M theory on N around that circle. In the a spatial circle of radius R in a sector with momentum P = s R s limit of small R M theory b ecomes the typ e IIA string theory and the lowest excitations s in the sector with momentum P are N D0-branes [6]. -
Notes on Matrix Models (Matrix Musings)
Notes on Matrix Models (Matrix Musings) Dionysios Anninos1 and Beatrix M¨uhlmann2 1 Department of Mathematics, King's College London, Strand, London WC2R 2LS, UK 2 Institute for Theoretical Physics and ∆ Institute for Theoretical Physics, University of Amsterdam, Science Park 904, 1098 XH Amsterdam, The Netherlands [email protected] & [email protected] Abstract In these notes we explore a variety of models comprising a large number of constituents. An emphasis is placed on integrals over large Hermitian matrices, as well as quantum me- chanical models whose degrees of freedom are organised in a matrix-like fashion. We discuss the relation of matrix models to two-dimensional quantum gravity coupled to conformal mat- ter. We provide a brief overview of a variety of more general quantum mechanical matrix models and their putative worldsheet interpretation, as well as other recent developments on large N systems. We end with a discussion of open questions and future directions. arXiv:2004.01171v3 [hep-th] 12 Apr 2021 1 Contents 1 IntroductionA;B 4 2 Large N vector integrals6 2.1 Saddle point approximation . .7 2.2 Vector integrals . .8 2.3 A perturbative expansion: the Cactus diagrams . 10 2.4 Diagrams resummed . 11 3 Large N integrals over a single matrix IC 14 3.1 Eigenvalue distribution . 14 3.2 Saddle point approximation & the resolvent . 17 3.3 General polynomial & multicritical models . 22 3.4 Large N factorisation & loop equations . 23 3.5 A perturbative expansion: the Riemann surfaces . 26 4 Large N integrals over a single matrix IIC;D 31 4.1 Orthogonal polynomials .