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The book aims to analyze and explore deep and profound relations between string field theory, higher spin gauge theories and holography — the disciplines that have been on the cutting edge of theoretical high energy physics and other fields. These intriguing relations and connections involve some profound ideas in number theory, which appear to be part of a unifying language to describe these connections.
Book Synopsis String Fields, Higher Spins And Number Theory by : Polyakov Dimitri
Download or read book String Fields, Higher Spins And Number Theory written by Polyakov Dimitri and published by World Scientific. This book was released on 2018-09-17 with total page 212 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book aims to analyze and explore deep and profound relations between string field theory, higher spin gauge theories and holography — the disciplines that have been on the cutting edge of theoretical high energy physics and other fields. These intriguing relations and connections involve some profound ideas in number theory, which appear to be part of a unifying language to describe these connections.
The book aims to analyze and explore deep and profound relations between string field theory, higher spin gauge theories and holography--the disciplines that have been on the cutting edge of theoretical high energy physics and other fields. These intriguing relations and connections involve some profound ideas in number theory, which appear to be part of a unifying language to describe these connections.
Book Synopsis String Fields, Higher Spins and Number Theory by : Dimitri Polyakov
Download or read book String Fields, Higher Spins and Number Theory written by Dimitri Polyakov and published by . This book was released on 2018 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: The book aims to analyze and explore deep and profound relations between string field theory, higher spin gauge theories and holography--the disciplines that have been on the cutting edge of theoretical high energy physics and other fields. These intriguing relations and connections involve some profound ideas in number theory, which appear to be part of a unifying language to describe these connections.
Symmetries play a fundamental role in physics. Non-Abelian gauge symmetries are the symmetries behind theories for massless spin-1 particles, while the reparametrization symmetry is behind Einstein's gravity theory for massless spin-2 particles. In supersymmetric theories these particles can be connected also to massless fermionic particles. Does Nature stop at spin-2 or can there also be massless higher spin theories. In the past strong indications have been given that such theories do not exist. However, in recent times ways to evade those constraints have been found and higher spin gauge theories have been constructed. With the advent of the AdS/CFT duality correspondence even stronger indications have been given that higher spin gauge theories play an important role in fundamental physics.All these issues were discussed at a recent international workshop in Singapore where the leading scientists in the field participated. This volume presents an up-to-date, detailed overview of the theories including its historic background, as well as the latest accomplishments in understanding the foundational properties of higher spin physics.
Book Synopsis Higher Spin Gauge Theories by : Lars Brink
Download or read book Higher Spin Gauge Theories written by Lars Brink and published by World Scientific. This book was released on 2016-11-01 with total page 403 pages. Available in PDF, EPUB and Kindle. Book excerpt: Symmetries play a fundamental role in physics. Non-Abelian gauge symmetries are the symmetries behind theories for massless spin-1 particles, while the reparametrization symmetry is behind Einstein's gravity theory for massless spin-2 particles. In supersymmetric theories these particles can be connected also to massless fermionic particles. Does Nature stop at spin-2 or can there also be massless higher spin theories. In the past strong indications have been given that such theories do not exist. However, in recent times ways to evade those constraints have been found and higher spin gauge theories have been constructed. With the advent of the AdS/CFT duality correspondence even stronger indications have been given that higher spin gauge theories play an important role in fundamental physics.All these issues were discussed at a recent international workshop in Singapore where the leading scientists in the field participated. This volume presents an up-to-date, detailed overview of the theories including its historic background, as well as the latest accomplishments in understanding the foundational properties of higher spin physics.
The conference String-Math 2014 was held from June 9–13, 2014, at the University of Alberta. This edition of String-Math is the first to include satellite workshops: “String-Math Summer School” (held from June 2–6, 2014, at the University of British Columbia), “Calabi-Yau Manifolds and their Moduli” (held from June 14–18, 2014, at the University of Alberta), and “Quantum Curves and Quantum Knot Invariants” (held from June 16–20, 2014, at the Banff International Research Station). This volume presents the proceedings of the conference and satellite workshops. For mathematics, string theory has been a source of many significant inspirations, ranging from Seiberg-Witten theory in four-manifolds, to enumerative geometry and Gromov-Witten theory in algebraic geometry, to work on the Jones polynomial in knot theory, to recent progress in the geometric Langlands program and the development of derived algebraic geometry and n-category theory. In the other direction, mathematics has provided physicists with powerful tools, ranging from powerful differential geometric techniques for solving or analyzing key partial differential equations, to toric geometry, to K-theory and derived categories in D-branes, to the analysis of Calabi-Yau manifolds and string compactifications, to modular forms and other arithmetic techniques. Articles in this book address many of these topics.
Book Synopsis String-Math 2014 by : Vincent Bouchard:
Download or read book String-Math 2014 written by Vincent Bouchard: and published by American Mathematical Soc.. This book was released on 2016-06-10 with total page 418 pages. Available in PDF, EPUB and Kindle. Book excerpt: The conference String-Math 2014 was held from June 9–13, 2014, at the University of Alberta. This edition of String-Math is the first to include satellite workshops: “String-Math Summer School” (held from June 2–6, 2014, at the University of British Columbia), “Calabi-Yau Manifolds and their Moduli” (held from June 14–18, 2014, at the University of Alberta), and “Quantum Curves and Quantum Knot Invariants” (held from June 16–20, 2014, at the Banff International Research Station). This volume presents the proceedings of the conference and satellite workshops. For mathematics, string theory has been a source of many significant inspirations, ranging from Seiberg-Witten theory in four-manifolds, to enumerative geometry and Gromov-Witten theory in algebraic geometry, to work on the Jones polynomial in knot theory, to recent progress in the geometric Langlands program and the development of derived algebraic geometry and n-category theory. In the other direction, mathematics has provided physicists with powerful tools, ranging from powerful differential geometric techniques for solving or analyzing key partial differential equations, to toric geometry, to K-theory and derived categories in D-branes, to the analysis of Calabi-Yau manifolds and string compactifications, to modular forms and other arithmetic techniques. Articles in this book address many of these topics.
This volume covers the most up-to-date findings on string field theory. It is presented in a new approach as a result of insights gained from the theory. This includes the use of a universal method for treating free field theories, which allows the derivation of a single, simple, free, local, Poincare-invariant, gauge-invariant action that can be applied directly to any fields.
Book Synopsis Introduction To String Field Theory by : Warren Siegel
Download or read book Introduction To String Field Theory written by Warren Siegel and published by World Scientific. This book was released on 1988-09-01 with total page 256 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume covers the most up-to-date findings on string field theory. It is presented in a new approach as a result of insights gained from the theory. This includes the use of a universal method for treating free field theories, which allows the derivation of a single, simple, free, local, Poincare-invariant, gauge-invariant action that can be applied directly to any fields.
This book is an introduction to the theory of interacting higher spin gauge fields. It describes in a pedagogical way the methods used, and the results obtained, within the three major approaches to the subject: the Dirac light-front theory, the Fronsdal covariant approach and the Vasiliev AdS theory. Abstract concepts and methods unifying the various appproaches are pointed out. The book follows the ideas behind the first volume; explains the mathematical concepts and tools used, while also reviewing the history of the subject.
Book Synopsis Interactions by : Anders Bengtsson
Download or read book Interactions written by Anders Bengtsson and published by Walter de Gruyter GmbH & Co KG. This book was released on 2023-09-05 with total page 410 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is an introduction to the theory of interacting higher spin gauge fields. It describes in a pedagogical way the methods used, and the results obtained, within the three major approaches to the subject: the Dirac light-front theory, the Fronsdal covariant approach and the Vasiliev AdS theory. Abstract concepts and methods unifying the various appproaches are pointed out. The book follows the ideas behind the first volume; explains the mathematical concepts and tools used, while also reviewing the history of the subject.
By higher-spin (HS) field one means generalizations of the electromagnetic potential or of the metric fluctuation that transform under arbitrary representations of the Lorentz group. Conceptual difficulties have long been identified in attempts to couple massless higher-spin modes in a Minkowski background. However, the key classic no-go theorems typically do not apply in the presence of infinite numbers of them. String Theory clearly leads the way to date, since its spectra involves a plethora of massive HS modes, however, a key question is whether String Theory itself is part of a more general structure for higher-spin interactions, and what role it possibly plays in it. For massive fields, one expects that an effective Lagrangian description be possible below the scale of their masses, and therefore in this Thesis String Theory is taken as a starting point to exhibit for the first time a number of couplings involving higher-spin modes. The novelty is here the explicit computation of tree-level scattering amplitudes for massive modes. The Weyl calculus allows to present the whole set of cubic and quartic string couplings and the resulting currents in a suggestive form.
Book Synopsis Higher Spins and String Interactions by : Massimo Taronna
Download or read book Higher Spins and String Interactions written by Massimo Taronna and published by LAP Lambert Academic Publishing. This book was released on 2010-09 with total page 108 pages. Available in PDF, EPUB and Kindle. Book excerpt: By higher-spin (HS) field one means generalizations of the electromagnetic potential or of the metric fluctuation that transform under arbitrary representations of the Lorentz group. Conceptual difficulties have long been identified in attempts to couple massless higher-spin modes in a Minkowski background. However, the key classic no-go theorems typically do not apply in the presence of infinite numbers of them. String Theory clearly leads the way to date, since its spectra involves a plethora of massive HS modes, however, a key question is whether String Theory itself is part of a more general structure for higher-spin interactions, and what role it possibly plays in it. For massive fields, one expects that an effective Lagrangian description be possible below the scale of their masses, and therefore in this Thesis String Theory is taken as a starting point to exhibit for the first time a number of couplings involving higher-spin modes. The novelty is here the explicit computation of tree-level scattering amplitudes for massive modes. The Weyl calculus allows to present the whole set of cubic and quartic string couplings and the resulting currents in a suggestive form.
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 recent developments. It introduces the basics of perturbative string theory, world-sheet supersymmetry, space-time supersymmetry, conformal field theory and the heterotic string, before describing modern developments, including D-branes, string dualities and M-theory. It then covers string geometry and flux compactifications, applications to cosmology and particle physics, black holes in string theory and M-theory, and the microscopic origin of black-hole entropy. It concludes with Matrix theory, the AdS/CFT duality and its generalizations. This book is ideal for graduate students and researchers in modern string theory, and will make an excellent textbook for a one-year course on string theory. It contains over 120 exercises with solutions, and over 200 homework problems with solutions available on a password protected website for lecturers at www.cambridge.org/9780521860697.
Book Synopsis String Theory and M-Theory by : Katrin Becker
Download or read book String Theory and M-Theory written by Katrin Becker and published by Cambridge University Press. This book was released on 2006-12-07 with total page 756 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 recent developments. It introduces the basics of perturbative string theory, world-sheet supersymmetry, space-time supersymmetry, conformal field theory and the heterotic string, before describing modern developments, including D-branes, string dualities and M-theory. It then covers string geometry and flux compactifications, applications to cosmology and particle physics, black holes in string theory and M-theory, and the microscopic origin of black-hole entropy. It concludes with Matrix theory, the AdS/CFT duality and its generalizations. This book is ideal for graduate students and researchers in modern string theory, and will make an excellent textbook for a one-year course on string theory. It contains over 120 exercises with solutions, and over 200 homework problems with solutions available on a password protected website for lecturers at www.cambridge.org/9780521860697.
This volume presents the following topics: non-Abelian Toda models, brief remarks for physicists on equivariant cohomology and the Duistermaat-Heckman formula, Casimir effect, quantum groups and their application to nuclear physics, quantum field theory, quantum gravity and the theory of extended objects, and black hole physics and cosmology.
Book Synopsis Geometrical Aspects of Quantum Fields by : Andrei A. Bytsenko
Download or read book Geometrical Aspects of Quantum Fields written by Andrei A. Bytsenko and published by World Scientific. This book was released on 2001 with total page 213 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume presents the following topics: non-Abelian Toda models, brief remarks for physicists on equivariant cohomology and the Duistermaat-Heckman formula, Casimir effect, quantum groups and their application to nuclear physics, quantum field theory, quantum gravity and the theory of extended objects, and black hole physics and cosmology.
This book gives a modern presentation of modular operands and their role in string field theory. The authors aim to outline the arguments from the perspective of homotopy algebras and their operadic origin. Part I reviews string field theory from the point of view of homotopy algebras, including A-infinity algebras, loop homotopy (quantum L-infinity) and IBL-infinity algebras governing its structure. Within this framework, the covariant construction of a string field theory naturally emerges as composition of two morphisms of particular odd modular operads. This part is intended primarily for researchers and graduate students who are interested in applications of higher algebraic structures to strings and quantum field theory. Part II contains a comprehensive treatment of the mathematical background on operads and homotopy algebras in a broader context, which should appeal also to mathematicians who are not familiar with string theory.
Book Synopsis Algebraic Structure of String Field Theory by : Martin Doubek
Download or read book Algebraic Structure of String Field Theory written by Martin Doubek and published by Springer Nature. This book was released on 2020-11-22 with total page 223 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book gives a modern presentation of modular operands and their role in string field theory. The authors aim to outline the arguments from the perspective of homotopy algebras and their operadic origin. Part I reviews string field theory from the point of view of homotopy algebras, including A-infinity algebras, loop homotopy (quantum L-infinity) and IBL-infinity algebras governing its structure. Within this framework, the covariant construction of a string field theory naturally emerges as composition of two morphisms of particular odd modular operads. This part is intended primarily for researchers and graduate students who are interested in applications of higher algebraic structures to strings and quantum field theory. Part II contains a comprehensive treatment of the mathematical background on operads and homotopy algebras in a broader context, which should appeal also to mathematicians who are not familiar with string theory.
