D-Branes

Author: Clifford V. Johnson

Publisher: Cambridge University Press

ISBN: 9780521030052

Category: Science

Page: 548

View: 5423

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D-branes represent a key theoretical tool in the understanding of strongly coupled superstring theory and M-theory. They have led to many striking discoveries, including the precise microphysics underlying the thermodynamic behaviour of certain black holes, and remarkable holographic dualities between large-N gauge theories and gravity. This book provides a self-contained introduction to the technology of D-branes, presenting the recent developments and ideas in a pedagogical manner. It is suitable for use as a textbook in graduate courses on modern string theory and theoretical particle physics, and will also be an indispensable reference for seasoned practitioners. The introductory material is developed by first starting with the main features of string theory needed to get rapidly to grips with D-branes, uncovering further aspects while actually working with D-branes. Many advanced applications are covered, with discussions of open problems which could form the basis for other avenues of research.

An Introduction to String Theory and D-brane Dynamics

With Problems and Solutions

Author: Richard J. Szabo

Publisher: World Scientific

ISBN: 1848166222

Category: Science

Page: 148

View: 2776

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This invaluable book provides a quick introduction to the rudiments of perturbative string theory and a detailed introduction to the more current topic of D-brane dynamics. The presentation is very pedagogical, with much of the technical detail streamlined. The rapid but highly coherent introduction to the subject is perhaps what distinguishes this book from other string theory or D-brane books. This second edition includes an additional appendix with solutions to the exercises, thus expanding on some of the technical material and making the book more appealing for use in lecture courses. The material is based on mini-courses in theoretical high energy physics delivered by the author at various summer schools, so its actual level has been appropriately tested.

D-Brane

Superstrings and New Perspective of Our World

Author: Koji Hashimoto

Publisher: Springer Science & Business Media

ISBN: 3642235743

Category: Science

Page: 166

View: 2148

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Superstring theory is a promising theory which can potentially unify all the forces and the matters in particle physics. A new multi-dimensional object which is called "D-brane" was found. It drastically changed our perspective of a unified world. We may live on membrane-like hypersurfaces in higher dimensions ("braneworld scenario"), or we can create blackholes at particle accelarators, or the dynamics of quarks is shown to be equivalent to the higher dimensional gravity theory. All these scenarios are explained in this book with plain words but with little use of equations and with many figures. The book starts with a summary of long-standing problems in elementary particle physics and explains the D-branes and many applications of them. It ends with future roads for a unified ultimate theory of our world.

D-Branes in Supersymmetric Backgrounds.

Author: N.A

Publisher: Univ Santiago de Compostela

ISBN: N.A

Category:

Page: N.A

View: 9063

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In this Ph. D. Thesis we concentrate on the study of the extension of the AdS/CFT correspondence to theories with less supersymmetry. In particular, we search for the possibility of adding supersymmetric D-branes in type IIB supergravity solutions which are dual to N=1 supersymmetric gauge theories in four dimensions. In the probe approximation we perform a systematic analysis of the possible supersymmetric D-brane configurations in backgrounds dual to N=1 superconformal field theories, firstly in the AdS_5xY^{p,q} solutions and then in their generalisation to the AdS_5xL^{a,b,c} backgrounds. Some checks of the correspondence between D-brane configurations and chiral operators of the dual gauge theory are performed. We also analyse the possible supersymmetric D5-brane configurations dual to defects (of codimension one and two) in N=1 SYM theory in the framework of the Maldacena-Nunez solution. Beyond the probe approximation, we develop techniques in order to take into account the backreaction undergone by the type IIB supergravity solutions (dual to N=1 superconformal field theories and their extensions to cascading theories) due to the addition of a number of flavour branes of the same order as the number of colour branes which generate the unflavour background. The dual interpretation of those flavour branes is given in terms of dynamical fields transforming in the fundamental representation of the gauge group. Several gauge theories features are matched, like beta functions, anomalies and the duality cascade which describes the RG flow of the cascading field theories.

Boundary Conformal Field Theory and the Worldsheet Approach to D-Branes

Author: Andreas Recknagel,Volker Schomerus

Publisher: Cambridge University Press

ISBN: 0521832233

Category: Mathematics

Page: 346

View: 9380

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"Boundary conformal field theory is concerned with a class of two-dimensional quantum field theories that display a rich mathematical structure and have many applications, ranging from string theory to condensed matter physics. In particular, the framework allows discussion of strings and branes directly at the quantum level. Written by internationally renowned experts, this comprehensive introduction to boundary conformal field theory reaches from theoretical foundations to recent developments, with an emphasis on the algebraic treatment of string backgrounds. Topics covered include basic concepts in conformal field theory with and without boundaries, the mathematical description of strings and D-branes, and the geometry of strongly curved spacetime. The book offers insights into string geometry that go beyond classical notions. Describing the theory from basic concepts, and providing numerous worked examples from conformal field theory and string theory, this reference is of interest to graduate students and researchers in physics and mathematics"--

Dirichlet Branes and Mirror Symmetry

Author: N.A

Publisher: American Mathematical Soc.

ISBN: 0821838482

Category: Mathematics

Page: 681

View: 6746

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Research in string theory over the last several decades has yielded a rich interaction with algebraic geometry. In 1985, the introduction of Calabi-Yau manifolds into physics as a way to compactify ten-dimensional space-time has led to exciting cross-fertilization between physics and mathematics, especially with the discovery of mirror symmetry in 1989. A new string revolution in the mid-1990s brought the notion of branes to the forefront. As foreseen by Kontsevich, these turned out to have mathematical counterparts in the derived category of coherent sheaves on an algebraic variety and the Fukaya category of a symplectic manifold. This has led to exciting new work, including the Strominger-Yau-Zaslow conjecture, which used the theory of branes to propose a geometric basis for mirror symmetry, the theory of stability conditions on triangulated categories, and a physical basis for the McKay correspondence. These developments have led to a great deal of new mathematical work. One difficulty in understanding all aspects of this work is that it requires being able to speak two different languages, the language of string theory and the language of algebraic geometry. The 2002 Clay School on Geometry and String Theory set out to bridge this gap, and this monograph builds on the expository lectures given there to provide an up-to-date discussion including subsequent developments. A natural sequel to the first Clay monograph on Mirror Symmetry, it presents the new ideas coming out of the interactions of string theory and algebraic geometry in a coherent logical context. We hope it will allow students and researchers who are familiar with the language of one of the two fields to gain acquaintance with the language of the other. The book first introduces the notion of Dirichlet brane in the context of topological quantum field theories, and then reviews the basics of string theory. After showing how notions of branes arose in string theory, it turns to an introduction to the algebraic geometry, sheaf theory, and homological algebra needed to define and work with derived categories. The physical existence conditions for branes are then discussed and compared in the context of mirror symmetry, culminating in Bridgeland's definition of stability structures, and its applications to the McKay correspondence and quantum geometry. The book continues with detailed treatments of the Strominger-Yau-Zaslow conjecture, Calabi-Yau metrics and homological mirror symmetry, and discusses more recent physical developments. This book is suitable for graduate students and researchers with either a physics or mathematics background, who are interested in the interface between string theory and algebraic geometry.

Introduction to Strings and Branes

Author: Peter West

Publisher: Cambridge University Press

ISBN: 0521817471

Category: Science

Page: 709

View: 2294

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Detailed, step-by-step introduction to the theoretical foundations of strings and branes, essential reading for graduate students and researchers.

Strings, Branes and Gravity

Author: Jeffrey A Harvey,Shamit Kachru,Eva Silverstein

Publisher: World Scientific

ISBN: 9814489948

Category: Science

Page: 952

View: 5280

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Many of the topics in this book are outgrowths of the spectacular new understanding of duality in string theory which emerged around 1995. They include the AdS/CFT correspondence and its relation to holography, the matrix theory formulation of M theory, the structure of black holes in string theory, the structure of D-branes and M-branes, and detailed development of dualities with N = 1 and N = 2 supersymmetry. In addition, there are lectures covering experimental and phenomenological aspects of the Standard Model and its extensions, and discussions on cosmology including both theoretical aspects and the exciting new experimental evidence for a non-zero cosmological constant. Contents:TASI Lectures on Branes, Black Holes and Anti-De Sitter Space (M J Duff)D-Brane Primer (C V Johnson)TASI Lectures on Black Holes in String Theory (A W Peet)TASI Lectures: Cosmology for String Theorists (S M Carroll)TASI Lectures on Matrix Theory (T Banks)TASI Lectures on M Theory Phenomenology (M Dine)TASI Lectures: Introduction to the AdS/CFT Correspondence (I R Klebanov)TASI Lectures on Compactification and Duality (D R Morrison)Compactification, Geometry and Duality: N=2 (P S Aspinwall)TASI Lectures on Non-BPS D-Brane Systems (J H Schwarz)Lectures on Warped Compactifications and Stringy Brane Constructions (S Kachru)TASI Lectures on the Holographic Principle (D Bigatti & L Susskind) Readership: Graduate students, postdoctoral fellows and researchers in high energy physics. Keywords:Strings;Branes;Gravity;Black Holes;Supersymmetry;Cosmology;Matrix Theory;Compactification;Duality;Geometry;Warped Compactifications;Holographic PrincipleReviews:“For those in the field, the volume is an excellent addition to the line of perennially useful and timely collections of TASI lectures. For the community at large, it provides a detailed and technical introduction to many of the fascinating and promising ideas currently in vogue in string theory and formal particle physics.”Contemporary Physics

Strings 2001

Proceedings of the Strings 2001 Conference, Tata Institute of Fundamental Research, Mumbai, India, January 5-10, 2001

Author: Atish Dabholkar,Sunil Mukhi,Spenta R. Wadia

Publisher: American Mathematical Soc.

ISBN: 9780821829813

Category: Mathematics

Page: 490

View: 6379

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String theory, sometimes called the ``Theory of Everything'', has the potential to provide answers to key questions involving quantum gravity, black holes, supersymmetry, cosmology, singularities and the symmetries of nature. This multi-authored book summarizes the latest results across all areas of string theory from the perspective of world-renowned experts, including Michael Green, David Gross, Stephen Hawking, John Schwarz, Edward Witten and others. The book comes out of the ``Strings 2001'' conference, organized by the Tata Institute of Fundamental Research (Mumbai, India), the Abdus Salam ICTP (Trieste, Italy), and the Clay Mathematics Institute (Cambridge, MA, USA). Individual articles discuss the study of D-branes, black holes, string dualities, compactifications, Calabi-Yau manifolds, conformal field theory, noncommutative field theory, string field theory, and string phenomenology. Numerous references provide a path to previous findings and results. Written for physicists and mathematicians interested in string theory, the volume is a useful resource for any graduate student or researcher working in string theory, quantum field theory, or related areas.

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

Author: Clay Mathematics Institute. Summer School,Isaac Newton Institute for Mathematical Sciences

Publisher: American Mathematical Soc.

ISBN: 9780821837153

Category: Mathematics

Page: 376

View: 3569

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This volume is the proceedings of the 2002 Clay Mathematics Institute School on Geometry and String Theory. This month-long program 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 concepts of algebraic geometry and string theory with a focus on improving communication between these two fields. During the latter part of the program there were also a number of research level talks. This volume contains a selection of expository and research articles by lecturers at the school and highlights some of the current interests of researchers working at the interface between string theory and algebraic geometry. The topics covered include manifolds of special holonomy, supergravity, supersymmetry, D-branes, the McKay correspondence and the Fourier-Mukai transform. The book is suitable for graduate students and research mathematicians interested in relations between mathematical physics and algebraic geometry.

String Theory For Dummies

Author: Andrew Zimmerman Jones,Daniel Robbins

Publisher: John Wiley & Sons

ISBN: 047046724X

Category: Science

Page: 364

View: 5279

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An accessible introduction to the mathematical "theory of everything" explains its consideration of ten or more dimensions in an attempt to define the basic nature of matter and energy, evaluating its hypotheses and predictions while considering the positions of its supporters and detractors. Original.