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## Higher Spin Gauge Theories

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

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.
## String Fields, Higher Spins And Number Theory

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.
## Higher Spin Gauge Theories

Higher Spin Gauge Theories.
## The Many Faces of the Superworld

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
## Modifications of Einstein's Theory of Gravity at Large Distances

In the last few years modified gravity theories have been proposed as extensions of Einstein's theory of gravity. Their main motivation is to explain the latest cosmological and astrophysical data on dark energy and dark matter. The study of general relativity at small scales has already produced important results (cf e.g. LNP 863 Quantum Gravity and Quantum Cosmology) while its study at large scales is challenging because recent and upcoming observational results will provide important information on the validity of these modified theories. In this volume, various aspects of modified gravity at large scales will be discussed: high-curvature gravity theories; general scalar-tensor theories; Galileon theories and their cosmological applications; F(R) gravity theories; massive, new massive and topologically massive gravity; Chern-Simons modifications of general relativity (including holographic variants) and higher-spin gravity theories, to name but a few of the most important recent developments. Edited and authored by leading researchers in the field and cast into the form of a multi-author textbook at postgraduate level, this volume will be of benefit to all postgraduate students and newcomers from neighboring disciplines wishing to find a comprehensive guide for their future research.
## String-Math 2014

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.
## Supermembranes And Physics In 2+1 Dimensions - Trieste Conference

## Quantum Theory and Symmetries

This volume of the CRM Conference Series is based on a carefully refereed selection of contributions presented at the "11th International Symposium on Quantum Theory and Symmetries", held in Montreal, Canada from July 1-5, 2019. The main objective of the meeting was to share and make accessible new research and recent results in several branches of Theoretical and Mathematical Physics, including Algebraic Methods, Condensed Matter Physics, Cosmology and Gravitation, Integrability, Non-perturbative Quantum Field Theory, Particle Physics, Quantum Computing and Quantum Information Theory, and String/ADS-CFT. There was also a special session in honour of Decio Levi. The volume is divided into sections corresponding to the sessions held during the symposium, allowing the reader to appreciate both the homogeneity and the diversity of mathematical tools that have been applied in these subject areas. Several of the plenary speakers, who are internationally recognized experts in their fields, have contributed reviews of the main topics to complement the original contributions. .
## General Relativity And Gravitational Physics - Proceedings Of The 9th Italian Conference

This is the proceedings of the 9th conference in this series. In addition to papers presented at the conference proper, it contains some papers delivered at Peter G Bergmann's 75th Birthday meeting (Capri, 24 Sept 1990). Among the subjects covered are cosmology and astrophysics, both theoretical and experimental.
## Structure: From Physics To General Systems - Festschrift Volume In Honor Of E R Caianiello On His Seventieth Birthday (In 2 Volumes)

This Festschrift volume in honour of Prof. E R Caianiello contains invited papers of eminent scientists who have worked in the several areas to which Prof. Caianiello has given seminal contributions: quantum field theory, foundations of quantum mechanics and maximal acceleration (Vol. 1); neural nets, general systems theory and various topics of cybernetics (Vol. 2). The wide range of topics covered shows the fruitfulness of a higher unifying perspective on seemingly diverse subjects.
## Free Theory

This monograph takes stock of the situation in higher spin gauge theories for the first time. Besides a thorough recapitulation of the field's history, it reviews the progress that has been made and offers a pedagogical introduction to the subject. Abstract approaches to the theory are offered to facilitate a conceptual rethinking of the main problems and to help see patterns hidden by heavy formalism.

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