Linear Dilatons, NS5-Branes and Holography
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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]. -
TASI Lectures on String Compactification, Model Building
CERN-PH-TH/2005-205 IFT-UAM/CSIC-05-044 TASI lectures on String Compactification, Model Building, and Fluxes Angel M. Uranga TH Unit, CERN, CH-1211 Geneve 23, Switzerland Instituto de F´ısica Te´orica, C-XVI Universidad Aut´onoma de Madrid Cantoblanco, 28049 Madrid, Spain angel.uranga@cern,ch We review the construction of chiral four-dimensional compactifications of string the- ory with different systems of D-branes, including type IIA intersecting D6-branes and type IIB magnetised D-branes. Such models lead to four-dimensional theories with non-abelian gauge interactions and charged chiral fermions. We discuss the application of these techniques to building of models with spectrum as close as possible to the Stan- dard Model, and review their main phenomenological properties. We finally describe how to implement the tecniques to construct these models in flux compactifications, leading to models with realistic gauge sectors, moduli stabilization and supersymmetry breaking soft terms. Lecture 1. Model building in IIA: Intersecting brane worlds 1 Introduction String theory has the remarkable property that it provides a description of gauge and gravitational interactions in a unified framework consistently at the quantum level. It is this general feature (beyond other beautiful properties of particular string models) that makes this theory interesting as a possible candidate to unify our description of the different particles and interactions in Nature. Now if string theory is indeed realized in Nature, it should be able to lead not just to `gauge interactions' in general, but rather to gauge sectors as rich and intricate as the gauge theory we know as the Standard Model of Particle Physics. -
Flux Backgrounds, Ads/CFT and Generalized Geometry Praxitelis Ntokos
Flux backgrounds, AdS/CFT and Generalized Geometry Praxitelis Ntokos To cite this version: Praxitelis Ntokos. Flux backgrounds, AdS/CFT and Generalized Geometry. Physics [physics]. Uni- versité Pierre et Marie Curie - Paris VI, 2016. English. NNT : 2016PA066206. tel-01620214 HAL Id: tel-01620214 https://tel.archives-ouvertes.fr/tel-01620214 Submitted on 20 Oct 2017 HAL is a multi-disciplinary open access L’archive ouverte pluridisciplinaire HAL, est archive for the deposit and dissemination of sci- destinée au dépôt et à la diffusion de documents entific research documents, whether they are pub- scientifiques de niveau recherche, publiés ou non, lished or not. The documents may come from émanant des établissements d’enseignement et de teaching and research institutions in France or recherche français ou étrangers, des laboratoires abroad, or from public or private research centers. publics ou privés. THÈSE DE DOCTORAT DE L’UNIVERSITÉ PIERRE ET MARIE CURIE Spécialité : Physique École doctorale : « Physique en Île-de-France » réalisée à l’Institut de Physique Thèorique CEA/Saclay présentée par Praxitelis NTOKOS pour obtenir le grade de : DOCTEUR DE L’UNIVERSITÉ PIERRE ET MARIE CURIE Sujet de la thèse : Flux backgrounds, AdS/CFT and Generalized Geometry soutenue le 23 septembre 2016 devant le jury composé de : M. Ignatios ANTONIADIS Examinateur M. Stephano GIUSTO Rapporteur Mme Mariana GRAÑA Directeur de thèse M. Alessandro TOMASIELLO Rapporteur Abstract: The search for string theory vacuum solutions with non-trivial fluxes is of particular importance for the construction of models relevant for particle physics phenomenology. In the framework of the AdS/CFT correspondence, four-dimensional gauge theories which can be considered to descend from N = 4 SYM are dual to ten- dimensional field configurations with geometries having an asymptotically AdS5 factor. -
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. -
Introduction to String Theory
View metadata, citation and similar papers at core.ac.uk brought to you by CORE provided by CERN Document Server Introduction to String Theory Thomas Mohaupt Friedrich-Schiller Universit¨at Jena, Max-Wien-Platz 1, D-07743 Jena, Germany Abstract. We give a pedagogical introduction to string theory, D-branes and p-brane solutions. 1 Introductory remarks These notes are based on lectures given at the 271-th WE-Haereus-Seminar ‘Aspects of Quantum Gravity’. Their aim is to give an introduction to string theory for students and interested researches. No previous knowledge of string theory is assumed. The focus is on gravitational aspects and we explain in some detail how gravity is described in string theory in terms of the graviton excitation of the string and through background gravitational fields. We include Dirichlet boundary conditions and D-branes from the beginning and devote one section to p-brane solutions and their relation to D-branes. In the final section we briefly indicate how string theory fits into the larger picture of M-theory and mention some of the more recent developments, like brane world scenarios. The WE-Haereus-Seminar ‘Aspects of Quantum Gravity’ covered both main approaches to quantum gravity: string theory and canonical quantum gravity. Both are complementary in many respects. While the canonical approach stresses background independence and provides a non-perturbative framework, the cor- nerstone of string theory still is perturbation theory in a fixed background ge- ometry. Another difference is that in the canonical approach gravity and other interactions are independent from each other, while string theory automatically is a unified theory of gravity, other interactions and matter. -
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 ). -
Low Energy Physics from Type IIB String Theory
Katholieke Universiteit Leuven Faculteit der Wetenschapp en Instituut vo or Theoretische Fysica Low energy physics from typ e IIB string theory Frederik Denef Promotor Prof Dr W Tro ost Pro efschrift ingediend voor het b ehalen van de graad van Do ctor in de Wetenschapp en Deze thesis kwam tot stand met de nanciele steun van het Fonds voor Wetenschapp elijk Onderzo ek Een geest een en al logica is als een mes dat een en al lemmet is Het doet de hand die het gebruikt bloeden Tagore De wijze waarop het eten wordt opgediend is minstens even belangrijk als de wijze waarop het wordt toebereid Ons Kookboek KVLV Vo orwo ord Een thesis schrijf je niet alleen Ik b en daarom iedereen die de vo orbije zes entwintig jaar heeft bijgedragen tot het tot stand komen van dit werk bijzonder dankbaar In de eerste plaats denk ik daarbij natuurlijk aan mijn promotor Walter Tro ost voor het op gang brengen en aanwakkeren van mijn interesse in string theorie en theoretische fysica in het algemeen vo or zijn advies hulp en aanmo edi ging en om me te laten meegenieten van zijn scherp e fysische inzichten humor en relativeringsvermogen Ook Toine Van Pro eyen zou ik sp eciaal willen bedanken omwille van wat hij mij op wetenschapp elijk en menselijk vlak heeft bijgebracht voor de internationale contacten en vo or zijn no oit tanende gedrevenheid waaraan het instituut wellicht een gro ot deel van haar huidige internationale uitstraling te danken heeft Heel wat collegafysici ben ik bovendien dankbaar voor de soms verduisterende maar meestal verhelderende uiteenzettingen -
Arxiv:Hep-Th/9508143V5 10 Jun 1997 1 Okspotdi Atb H ..Dp.O Nryudrgrant Under Energy of Dept
CALT-68-2013 hep-th/9508143 An SL(2,Z) Multiplet of Type IIB Superstrings1 John H. Schwarz California Institute of Technology, Pasadena, CA 91125, USA Abstract An SL(2, Z) family of string solutions of type IIB supergravity in ten dimensions is constructed. The solutions are labeled by a pair of relatively prime integers, which characterize charges of the three-form field strengths. The string tensions depend on these charges in an SL(2, Z) covariant way. Compactifying on a circle and identifying with eleven-dimensional supergravity compactified on a torus implies that the modulus of the IIB theory should be equated to the modular arXiv:hep-th/9508143v5 10 Jun 1997 parameter of the torus. 1Work supported in part by the U.S. Dept. of Energy under Grant No. DE-FG03-92-ER40701. Among the various conjectured duality symmetries of superstring theories, the proposed SL(2, Z) symmetry of the type IIB superstring theory in ten dimensions is especially inter- esting [1, 2]. Like the SL(2, Z) S duality of the N =4 D = 4 heterotic string [3, 4], it relates weak and strong coupling. However, unlike the heterotic example in which the symmetry relates electrically and magnetically charged states of the same gauge field, the IIB duality relates electrically charged states of two different gauge fields. In this respect it is more like a T duality [5]. Combined with ordinary T dualities, the IIB SL(2, Z) duality implies the complete U duality symmetry of toroidally compactified type II strings in dimensions D< 10 [1, 6]. -
Hagedorn Behavior of Little String Theories1
CORE Metadata, citation and similar papers at core.ac.uk Provided by CERN Document Server NBI-HE-00-35 SPIN-2000/25 ITF-UU-00/27 hep-th/0010169 HAGEDORN BEHAVIOR OF LITTLE STRING THEORIES1 T. Harmark1 and N.A. Obers2;3 1 Niels Bohr Institute, Blegdamsvej 17, DK-2100 Copenhagen, Denmark, 2 Spinoza Institute, Utrecht University, 3584 CE Utrecht, The Netherlands 3 Institute for Theoretical Physics, Utrecht Universty 3508 TA Utrecht, The Netherlands We examine the Hagedorn behavior of little string theory using its conjectured duality with near-horizon NS5-branes. In particular, by studying the string- corrected NS5-brane supergravity solution, it is shown that tree-level corrections to the temperature vanish, while the leading one-loop string correction generates the correct temperature dependence of the entropy near the Hagedorn tempera- ture. Finally, the Hagedorn behavior of ODp-brane theories, which are deformed versions of little string theory, is considered via their supergravity duals. 1TALK PRESENTED BY N.O. AT CONFERENCE "QUANTIZATION, GAUGE THEORY, AND STRINGS", DEDICATED TO THE MEMORY OF PROF. E. FRADKIN, MOSCOW, RUSSIA, JUNE 5-10. 1 Introduction The near-horizon limit of NS5-branes is conjectured to be dual to Little String Theory (LST) with 16 supercharges [1]. LST is a 5+1 dimensional non- gravitational and non-local theory of strings [2] (see also [3]). As for any string theory, the statistical mechanics description of LST breaks down at a certain temperature, known as the Hagedorn temperature [4] (see also e.g. [5]). This raises the question whether it is possible to observe, via the con- jectured near-horizon-NS5/LST duality, Hagedorn behavior of LST from the thermodynamics of near-horizon NS5-branes. -
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).