Higher Spin Gauge Theories

Author: Brink Lars,Henneaux Marc,Vasiliev Mikhail A
Publisher: World Scientific
ISBN: 9813144114
Category: Science
Page: 404
View: 9195

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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.

Higher Spin Gauge Theories

Author: Nicolas Boulanger,Andrea Campoleoni
Publisher: MDPI
ISBN: 303842997X
Category: Mathematics
Page: 457
View: 8761

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This book is a printed edition of the Special Issue "Higher Spin Gauge Theories" that was published in Universe

String Fields, Higher Spins And Number Theory

Author: Polyakov Dimitri
Publisher: World Scientific
ISBN: 9813233419
Category: Science
Page: 212
View: 1760

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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.

The Many Faces of the Superworld

Yuri Golfand Memorial Volume
Author: M Shifman
Publisher: World Scientific
ISBN: 9814493708
Category: Science
Page: 688
View: 2808

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This invaluable volume is dedicated to the memory of Yuri Golfand, one of the discoverers of supersymmetry. Together with his student, he constructed in 1970 the superextension of the Poincaré algebra and obtained the first four-dimensional supersymmetric field theory, a version of supersymmetric QED. Golfand died in 1994 in Israel. Did the pioneers of supersymmetry — Neveu, Schwarz, Ramond, Golfand, Volkov, Wess, Zumino and others — foresee in the early 1970's that they would be opening to us the gates of the superworld? The superworld will become one of the most important components of our understanding of Nature — a component that will stay with us forever. This book is a compilation of the original papers and review articles, devoted to various aspects of supersymmetry, written by the outstanding researchers in the field, theorists whose work shaped the present day theory and continues to make a profound impact on the frontier directions of the current development. A wide range of topics is covered — from subtle results in the superstring theory to supersymmetry-based phenomenology. Most of the articles have been prepared specifically for this volume. The first part of the book consists of the Editor's essay presenting the basic stages of Golfand's life and work, the memoirs of his widow, Mrs N Koretz-Golfand and of his student, Dr E Likhtman. Also included is the article of Prof. M Marinov “Revealing the Path to the Superworld”, outlining the main ideas that paved the way to the discovery of supersymmetry. The historical part of the book concludes with the English translation of the Golfand-Likhtman paper on supersymmetry published in 1972 in the Tamm Memorial Volume. Contents:Part II — The Present: From Symmetry to Supersymmetry (J Wess)Duality Invariant Born-Infeld Theory (D Brace et al.)Bäcklund Transformations in 10D SUSY Yang–Mills Theories (J-L Gervais)Representations of Extended Supersymmetries in Two Dimensions (A M Semikhatov)Supersymmetric Quantum Mechanics from Light Cone Quantization (S Hellerman & J Polchinski)Supersymmetric Index of Three-Dimensional Gauge Theory (E Witten)Vacuum Structure in Supersymmetric Yang–Mills Theories with Any Gauge Group (V G Kac & A V Smilga)The Superworld (N Seiberg)Brane Dynamics and Gauge Theory (D Kutasov)Confining Phase of Three Dimensional Supersymmetric Quantum Electrodynamics (M J Strassler)Z-D Brane Box Models and Non-Chiral Dihedral Quivers (B Feng et al.)Threebranes and Conformal Gauge Theories (I R Klebanov)Extremal Correlators in the AdS/CFT Correspondence (E D'Hoker et al.)Two Outcomes for Two Old (Super-)Problems (S Deser)Anomalies in Supersymmetric Theories (M T Grisaru)Some Properties of Type I′ String Theory (J H Schwarz)Dirac Equations, Light Cone Supersymmetry, and Superconformal Algebras (L Brink & P Ramond)Born-Infeld Action, Supersymmetry, and String Theory (A A Tseytlin)The Freckled Instantons (A Losev et al.)About R-Parity and the Supersymmetric Standard Model (P Fayet)M-Theory and Hypercharge (N D Lambert & P C West)Constraints on Extra Time Dimensions (G Dvali et al.)Higher Spin Gauge Theories: Star-Product and AdS Space (M A Vasiliev)Some Thermodynamical Aspects of String Theory (S A Abel et al.)Logarithmic Unification from Symmetries Enhanced in the Sub-Millimeter Infrared (N Arkani-Hamed et al.)A Toy Model for Supergravity and Superspace (P van Nieuwenhuizen) Readership: Graduate students, researchers and lecturers in theoretical high energy physics and historians of science. Keywords:Discovery of Supersymmetry;Pioneers of Supersymmetry;Golfand;Witten Index;Seiberg Duality;Supersymmetric Anomalies;Supergravity;Superspace

String-Math 2014

Author: Vincent Bouchard:,Charles Doran,Stefan Méndez-Diez,Callum Quigley
Publisher: American Mathematical Soc.
ISBN: 1470419920
Category: $K$-theory
Page: 396
View: 6345

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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.

Current Topics in Quantum Field Theory Research

Author: O. Kovras
Publisher: Nova Publishers
ISBN: 9781600212833
Category: Science
Page: 323
View: 2588

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Quantum field theory was invented to deal simultaneously with special relativity and quantum mechanics, the two greatest discoveries of early twentieth-century physics, but it has become increasingly important to many areas of physics including quantum hall physics, surface growth, string theory, D-branes and quantum gravity as well as condensed-matter and high-energy applications and particle-physics. This important book presents leading-edge research from throughout the world.

Trends in Field Theory Research

Author: O. Kovras
Publisher: Nova Publishers
ISBN: 9781594541230
Category: Science
Page: 215
View: 2793

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Quantum field theory was invented to deal simultaneously with special relativity and quantum mechanics, the two greatest discoveries of early twentieth-century physics, but it has become increasingly important to many areas of physics, including quantum hall physics, surface growth, string theory, D-branes and quantum gravity, as well as condensed-matter and high-energy applications and particle-physics. This important new book presents leading-edge research from throughout the world.

Beyond the Static

Exploring Nonequilibrium String Theory Via Noncritical M-theory and Heterotic E8 Tachyon Condensation
Author: Cynthia Anne Keeler
Publisher: N.A
Page: 392
View: 4093

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Issues in Applied Mathematics: 2011 Edition

Author: N.A
Publisher: ScholarlyEditions
ISBN: 1464965072
Category: Mathematics
Page: 862
View: 8752

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Issues in Applied Mathematics / 2011 Edition is a ScholarlyEditions™ eBook that delivers timely, authoritative, and comprehensive information about Applied Mathematics. The editors have built Issues in Applied Mathematics: 2011 Edition on the vast information databases of ScholarlyNews.™ You can expect the information about Applied Mathematics in this eBook to be deeper than what you can access anywhere else, as well as consistently reliable, authoritative, informed, and relevant. The content of Issues in Applied Mathematics: 2011 Edition has been produced by the world’s leading scientists, engineers, analysts, research institutions, and companies. All of the content is from peer-reviewed sources, and all of it is written, assembled, and edited by the editors at ScholarlyEditions™ and available exclusively from us. You now have a source you can cite with authority, confidence, and credibility. More information is available at http://www.ScholarlyEditions.com/.

Supersymmetry and quantum field theory

proceedings of the International Conference on Supersymmetry and Quantum Field Theory : dedicated to the 75th birthday anniversary of Dimitrij V. Volkov : Kharkov, Ukraine, 25-29 July 2000
Author: Dmitriĭ Vasilʹevich Volkov
Publisher: N.A
Category: Quantum field theory
Page: 414
View: 376

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Das elegante Universum

Superstrings, verborgene Dimensionen und die Suche nach der Weltformel
Author: Brian Greene
Publisher: Siedler Verlag
ISBN: 3641185653
Category: Science
Page: 512
View: 5720

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Eine hervorragende Darstellung unseres physikalischen Wissens und der Suche nach der „Weltformel“. Was ist die Superstringtheorie? Brian Greene, einer der führenden Physiker auf dem Gebiet der Superstrings, nimmt uns mit auf eine faszinierende und aufregende Reise zu den Grenzen unseres Verständnisses von Zeit, Raum und Materie.„Das elegante Universum“ ist ein populär geschriebenes und allgemein verständliches Kompendium unseres physikalischen Wissens.

Differentialgeometrie, Topologie und Physik

Author: Mikio Nakahara
Publisher: Springer-Verlag
ISBN: 3662453002
Category: Science
Page: 597
View: 6521

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Differentialgeometrie und Topologie sind wichtige Werkzeuge für die Theoretische Physik. Insbesondere finden sie Anwendung in den Gebieten der Astrophysik, der Teilchen- und Festkörperphysik. Das vorliegende beliebte Buch, das nun erstmals ins Deutsche übersetzt wurde, ist eine ideale Einführung für Masterstudenten und Forscher im Bereich der theoretischen und mathematischen Physik. - Im ersten Kapitel bietet das Buch einen Überblick über die Pfadintegralmethode und Eichtheorien. - Kapitel 2 beschäftigt sich mit den mathematischen Grundlagen von Abbildungen, Vektorräumen und der Topologie. - Die folgenden Kapitel beschäftigen sich mit fortgeschritteneren Konzepten der Geometrie und Topologie und diskutieren auch deren Anwendungen im Bereich der Flüssigkristalle, bei suprafluidem Helium, in der ART und der bosonischen Stringtheorie. - Daran anschließend findet eine Zusammenführung von Geometrie und Topologie statt: es geht um Faserbündel, characteristische Klassen und Indextheoreme (u.a. in Anwendung auf die supersymmetrische Quantenmechanik). - Die letzten beiden Kapitel widmen sich der spannendsten Anwendung von Geometrie und Topologie in der modernen Physik, nämlich den Eichfeldtheorien und der Analyse der Polakov'schen bosonischen Stringtheorie aus einer gemetrischen Perspektive. Mikio Nakahara studierte an der Universität Kyoto und am King’s in London Physik sowie klassische und Quantengravitationstheorie. Heute ist er Physikprofessor an der Kinki-Universität in Osaka (Japan), wo er u. a. über topologische Quantencomputer forscht. Diese Buch entstand aus einer Vorlesung, die er während Forschungsaufenthalten an der University of Sussex und an der Helsinki University of Sussex gehalten hat.

Raum · Zeit · Materie

Vorlesungen über Allgemeine Relativitätstheorie
Author: Hermann Weyl
Publisher: Springer
Category: Science
Page: 338
View: 6369

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Dieser Buchtitel ist Teil des Digitalisierungsprojekts Springer Book Archives mit Publikationen, die seit den Anfängen des Verlags von 1842 erschienen sind. Der Verlag stellt mit diesem Archiv Quellen für die historische wie auch die disziplingeschichtliche Forschung zur Verfügung, die jeweils im historischen Kontext betrachtet werden müssen. Dieser Titel erschien in der Zeit vor 1945 und wird daher in seiner zeittypischen politisch-ideologischen Ausrichtung vom Verlag nicht beworben.

The W3 Algebra

modules, semi-infinite cohomology and BV algebras
Author: P. Bouwknegt,Peter Bouwknegt,Jim McCarthy,Krzysztof Pilch
Publisher: Springer Science & Business Media
ISBN: 3540615288
Category: Mathematics
Page: 204
View: 6861

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W algebras are nonlinear generalizations of Lie algebras that arise in the context of two-dimensional conformal field theories when one explores higher-spin extensions of the Virasoro algebra. They provide the underlying symmetry algebra of certain string generalizations which allow the extended world sheet gravity. This book presents such gravity theories, concentrating on the algebra of physical operators determined from an analysis of the corresponding BRST cohomology. It develops the representation theory of W algebras needed to extend the standard techniques which were so successful in treating linear algebras. For certain strings corresponding to WN gravity we show that the operator cohomology has a natural geometric model. This result suggests new directions for the study of W geometry.