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Supersymmetry And Integrable Models
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Book Synopsis Supersymmetry and Integrable Models by : Henrik Aratyn
Download or read book Supersymmetry and Integrable Models written by Henrik Aratyn and published by Springer. This book was released on 1998-01-28 with total page 400 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book combines supersymmetry modelling in quantum mechanics and integrable models in a unique way. It addresses researchers as well as graduate students. Along with articles that present new technical results, the reader will also find pedagogically written reviews. Recent applications of supersymmetric integrable models are also given.
Book Synopsis Integrability, Supersymmetry and Coherent States by : Şengül Kuru
Download or read book Integrability, Supersymmetry and Coherent States written by Şengül Kuru and published by Springer. This book was released on 2019-07-12 with total page 434 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume shares and makes accessible new research lines and recent results in several branches of theoretical and mathematical physics, among them Quantum Optics, Coherent States, Integrable Systems, SUSY Quantum Mechanics, and Mathematical Methods in Physics. In addition to a selection of the contributions presented at the "6th International Workshop on New Challenges in Quantum Mechanics: Integrability and Supersymmetry", held in Valladolid, Spain, 27-30 June 2017, several high quality contributions from other authors are also included. The conference gathered 60 participants from many countries working in different fields of Theoretical Physics, and was dedicated to Prof. Véronique Hussin—an internationally recognized expert in many branches of Mathematical Physics who has been making remarkable contributions to this field since the 1980s. The reader will find interesting reviews on the main topics from internationally recognized experts in each field, as well as other original contributions, all of which deal with recent applications or discoveries in the aforementioned areas.
Book Synopsis New Symmetries And Integrable Models: Proceedings Of Xivth Max Born Symposium by : Andrzej Frydryszak
Download or read book New Symmetries And Integrable Models: Proceedings Of Xivth Max Born Symposium written by Andrzej Frydryszak and published by World Scientific. This book was released on 2000-08-21 with total page 257 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Max Born Symposia started in 1991 and have been held once or twice a year in different places in Lower Silesia. The scientific topics of the Symposia are closely related with front-line research subjects in theoretical physics. This volume deals with new concepts of symmetries in the theory of fundamental intersections as well as integrable dynamical systems.
Book Synopsis Integrable Models, Supersymmetry and Special Geometry by : Niclas Wyllard
Download or read book Integrable Models, Supersymmetry and Special Geometry written by Niclas Wyllard and published by . This book was released on 1998 with total page 72 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Some Aspects Concerning Supersymmetry and Integrable Systems by : Constantin-Nicolae Rasinariu
Download or read book Some Aspects Concerning Supersymmetry and Integrable Systems written by Constantin-Nicolae Rasinariu and published by . This book was released on 1999 with total page 228 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Supersymmetric Methods in Quantum and Statistical Physics by : Georg Junker
Download or read book Supersymmetric Methods in Quantum and Statistical Physics written by Georg Junker and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 179 pages. Available in PDF, EPUB and Kindle. Book excerpt: The idea of supersymmetry was originally introduced in relativistic quantum field theories as a generalization of Poincare symmetry. In 1976 Nicolai sug gested an analogous generalization for non-relativistic quantum mechanics. With the one-dimensional model introduced by Witten in 1981, supersym metry became a major tool in quantum mechanics and mathematical, sta tistical, and condensed-IIll;l. tter physics. Supersymmetry is also a successful concept in nuclear and atomic physics. An underlying supersymmetry of a given quantum-mechanical system can be utilized to analyze the properties of the system in an elegant and effective way. It is even possible to obtain exact results thanks to supersymmetry. The purpose of this book is to give an introduction to supersymmet ric quantum mechanics and review some of the recent developments of vari ous supersymmetric methods in quantum and statistical physics. Thereby we will touch upon some topics related to mathematical and condensed-matter physics. A discussion of supersymmetry in atomic and nuclear physics is omit ted. However, the reader will find some references in Chap. 9. Similarly, super symmetric field theories and supergravity are not considered in this book. In fact, there exist already many excellent textbooks and monographs on these topics. A list may be found in Chap. 9. Yet, it is hoped that this book may be useful in preparing a footing for a study of supersymmetric theories in atomic, nuclear, and particle physics. The plan of the book is as follows.
Book Synopsis Supersymmetric Mechanics - Vol. 1 by : Stefano Bellucci
Download or read book Supersymmetric Mechanics - Vol. 1 written by Stefano Bellucci and published by Springer. This book was released on 2006-08-31 with total page 240 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is the first volume in a series of books on the general theme of Supersymmetric Mechanics; the series is based on lectures and discussions held in 2005 and 2006 at the INFN-Laboratori Nazionali di Frascati. The selected topics include supersymmetry and supergravity, the attractor mechanism, black holes, fluxes, noncommutative mechanics, super-Hamiltonian formalism and matrix models. Incorporates in extensive write-ups the results of animated discussion sessions which followed the individual lectures.
Book Synopsis Supersymmetry and String Theory by : Michael Dine
Download or read book Supersymmetry and String Theory written by Michael Dine and published by Cambridge University Press. This book was released on 2023-01-31 with total page 507 pages. Available in PDF, EPUB and Kindle. Book excerpt: This text is an introduction to the fields of experimental and theoretical particle physics and cosmology. The book focuses on three principal areas: supersymmetry, string theory, and astrophysics and cosmology. The chapters on supersymmetry introduce the basics of supersymmetry and its phenomenology, and cover dynamics, dynamical supersymmetry breaking, and electric-magnetic duality. The book then introduces general relativity and the big bang theory, and the basic issues in inflationary cosmologies. The section on string theory discusses the spectra of known string theories, and the features of their interactions. Material added in the second edition includes the pivotal Higgs discovery and the results of the WMAP and Planck experiments. This book will be of great interest to graduates and researchers in the fields of particle theory, string theory, astrophysics, and cosmology. It has been reissued as an Open Access publication on Cambridge Core.
Book Synopsis Supersymmetries and Quantum Symmetries by : Julius Wess
Download or read book Supersymmetries and Quantum Symmetries written by Julius Wess and published by Springer. This book was released on 1999-06-21 with total page 472 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is a collection of papers in honour of Victor I. Ogievetsky. It contains reviews on supersymmetry and supergravity, dualities, integrable systems, W (super)algebras and quantum symmetries. The reader will also find reprints of some of Ogievetsky's pioneering work on supersymmetry.
Book Synopsis Seiberg-witten Theory And The Integrable Systems by : Andrei Marshakov
Download or read book Seiberg-witten Theory And The Integrable Systems written by Andrei Marshakov and published by World Scientific. This book was released on 1999-03-26 with total page 259 pages. Available in PDF, EPUB and Kindle. Book excerpt: In the past few decades many attempts have been made to search for a consistent formulation of quantum field theory beyond perturbation theory. One of the most interesting examples is the Seiberg-Witten ansatz for the N=2 SUSY supersymmetric Yang-Mills gauge theories in four dimensions. The aim of this book is to present in a clear form the main ideas of the relation between the exact solutions to the supersymmetric (SUSY) Yang-Mills theories and integrable systems. This relation is a beautiful example of reformulation of close-to-realistic physical theory in terms widely known in mathematical physics — systems of integrable nonlinear differential equations and their algebro-geometric solutions.First, the book reviews what is known about the physical problem: the construction of low-energy effective actions for the N=2 Yang-Mills theories from the traditional viewpoint of quantum field theory. Then the necessary background information from the theory of integrable systems is presented. In particular the author considers the definition of the algebro-geometric solutions to integrable systems in terms of complex curves or Riemann surfaces and the generating meromorphic 1-form. These definitions are illustrated in detail on the basic example of the periodic Toda chain.Several “toy-model” examples of string theory solutions where the structures of integrable systems appear are briefly discussed. Then the author proceeds to the Seiberg-Witten solutions and show that they are indeed defined by the same data as finite-gap solutions to integrable systems. The complete formulation requires the introduction of certain deformations of the finite-gap solutions described in terms of quasiclassical or Whitham hierarchies. The explicit differential equations and direct computations of the prepotential of the effective theory are presented and compared when possible with the well-known computations from supersymmetric quantum gauge theories.Finally, the book discusses the properties of the exact solutions to SUSY Yang-Mills theories and their relation to integrable systems in the general context of the modern approach to nonperturbative string or M-theory.
Author :Muller-kirsten Harald J W Publisher :World Scientific Publishing Company ISBN 13 :9813100966 Total Pages :452 pages Book Rating :4.8/5 (131 download)
Book Synopsis Introduction To Supersymmetry (2nd Edition) by : Muller-kirsten Harald J W
Download or read book Introduction To Supersymmetry (2nd Edition) written by Muller-kirsten Harald J W and published by World Scientific Publishing Company. This book was released on 2010-01-21 with total page 452 pages. Available in PDF, EPUB and Kindle. Book excerpt: Supersymmetry is a symmetry which combines bosons and fermions in the same multiplet of a larger group which unites the transformations of this symmetry with that of spacetime. Thus every bosonic particle must have a fermionic partner and vice versa. Since this is not what is observed, this symmetry with inherent theoretical advantages must be badly broken. It is hoped that the envisaged collider experiments at CERN will permit a first experimental test, which is expected to revive the interest in supersymmetry considerably.This revised edition of the highly successful text of 20 years ago provides an introduction to supersymmetry, and thus begins with a substantial chapter on spacetime symmetries and spinors. Following this, graded algebras are introduced, and thereafter the supersymmetric extension of the spacetime Poincaré algebra and its representations. The Wess-Zumino model, superfields, supersymmetric Lagrangians, and supersymmetric gauge theories are treated in detail in subsequent chapters. Finally the breaking of supersymmetry is addressed meticulously. All calculations are presented in detail so that the reader can follow every step.
Book Synopsis Modern Supersymmetry by : John Terning
Download or read book Modern Supersymmetry written by John Terning and published by OUP Oxford. This book was released on 2009-01-15 with total page 339 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book begins with a brief review of supersymmetry, and the construction of the minimal supersymmetric standard model and approaches to supersymmetry breaking. General non-perturbative methods are also reviewed leading to the development of holomorphy and the Affleck-Dine-Seiberg superpotential as powerful tools for analysing supersymmetric theories. Seiberg duality is discussed in detail, with many example applications provided, with special attention paid to its use in understanding dynamical supersysmmetry breaking. The Seiberg-Witten theory of monopoles is introduced through the analysis of simpler N=1 analogues. Superconformal field theories are described along with the most recent development known as "amaximization". Supergravity theories are examined in 4, 10, and 11 dimensions, allowing for a discussion of anomaly and gaugino mediation, and setting the stage for the anti- de Sitter/conformal field theory correspondence. This book is unique in containing an overview of the important developments in supersymmetry since the publication of "Suppersymmetry and Supergravity" by Wess and Bagger. It also strives to cover topics that are of interest to both formal and phenomenological theorists.
Book Synopsis Introduction to Supersymmetry and Supergravity by : Peter C. West
Download or read book Introduction to Supersymmetry and Supergravity written by Peter C. West and published by World Scientific. This book was released on 1990 with total page 448 pages. Available in PDF, EPUB and Kindle. Book excerpt: To the 1st edition of this monograph (addressed to advanced graduate students and researchers ) the author, responding to developments within superstring theory, has added 51/2 chapters dealing with two- dimensional supersymmetry. Authoritative, as lucid as the subject matter allows (yet demanding nonetheless!), attractively produced and priced. (NW) Annotation copyrighted by Book News, Inc., Portland, OR
Book Synopsis Perspectives On Supersymmetry by : Gordon Kane
Download or read book Perspectives On Supersymmetry written by Gordon Kane and published by World Scientific. This book was released on 1998-07-03 with total page 503 pages. Available in PDF, EPUB and Kindle. Book excerpt: Supersymmetry is at an exciting stage of development. It extends the Standard Model of particle physics into a more powerful theory that both explains more and allows more questions to be addressed. Most important, it opens a window for studying and testing fundamental theories at the Planck scale. Experimentally we are finally entering the intensity and energy regions where superpartners are likely to be detected, and then studied. There has been progress in understanding the remarkable physics implications of supersymmetry, including the derivation of the Higgs mechanism, the unification of the Standard Model forces, cosmological connections such as a candidate for the cold dark matter of the universe and the scalar fields that drive inflation and their potential, the relationship to Planck scale theories, and more.While there are a number of reviews and books where the mathematical structure and uses of supersymmetry can be learned, there are few where the particle physics is the main focus. This book fills that gap. It begins with an excellent pedagogical introduction to the physics and methods and formalism of supersymmetry, by S Martin, which is accessible to anyone with a basic knowledge of the Standard Model of particle physics. Next is an overview of open questions by K Dienes and C Kolda, followed by chapters on topics ranging from how to detect superpartners to connections with Planck scale theories, by leading experts.This invaluable book will allow any interested physicist to understand the coming experimental and theoretical progress in supersymmetry, and will also help students and workers to quickly learn new aspects of supersymmetry they want to pursue.
Book Synopsis Supersymmetry and Integrability in Planar Mechanical Systems by : Leonardo P. G. de Assis
Download or read book Supersymmetry and Integrability in Planar Mechanical Systems written by Leonardo P. G. de Assis and published by . This book was released on 2005 with total page 28 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Seiberg-Witten Theory and Integrable Systems by : Andrei Marshakov
Download or read book Seiberg-Witten Theory and Integrable Systems written by Andrei Marshakov and published by World Scientific. This book was released on 1999 with total page 268 pages. Available in PDF, EPUB and Kindle. Book excerpt: In the past few decades many attempts have been made to search for a consistent formulation of quantum field theory beyond perturbation theory. One of the most interesting examples is the Seiberg-Witten ansatz for the N=2 SUSY supersymmetric Yang-Mills gauge theories in four dimensions. The aim of this book is to present in a clear form the main ideas of the relation between the exact solutions to the supersymmetric (SUSY) Yang-Mills theories and integrable systems. This relation is a beautiful example of reformulation of close-to-realistic physical theory in terms widely known in mathematical physics ? systems of integrable nonlinear differential equations and their algebro-geometric solutions.First, the book reviews what is known about the physical problem: the construction of low-energy effective actions for the N=2 Yang-Mills theories from the traditional viewpoint of quantum field theory. Then the necessary background information from the theory of integrable systems is presented. In particular the author considers the definition of the algebro-geometric solutions to integrable systems in terms of complex curves or Riemann surfaces and the generating meromorphic 1-form. These definitions are illustrated in detail on the basic example of the periodic Toda chain.Several ?toy-model? examples of string theory solutions where the structures of integrable systems appear are briefly discussed. Then the author proceeds to the Seiberg-Witten solutions and show that they are indeed defined by the same data as finite-gap solutions to integrable systems. The complete formulation requires the introduction of certain deformations of the finite-gap solutions described in terms of quasiclassical or Whitham hierarchies. The explicit differential equations and direct computations of the prepotential of the effective theory are presented and compared when possible with the well-known computations from supersymmetric quantum gauge theories.Finally, the book discusses the properties of the exact solutions to SUSY Yang-Mills theories and their relation to integrable systems in the general context of the modern approach to nonperturbative string or M-theory.
Book Synopsis Proceedings of XIV Max Born Symposium, New Symmetries and Integrable Models by : Andrzej Frydryszak
Download or read book Proceedings of XIV Max Born Symposium, New Symmetries and Integrable Models written by Andrzej Frydryszak and published by World Scientific. This book was released on 2000 with total page 264 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Max Born Symposia started in 1991 and have been held once or twice a year in different places in Lower Silesia. The scientific topics of the Symposia are closely related with front-line research subjects in theoretical physics. This volume deals with new concepts of symmetries in the theory of fundamental intersections as well as integrable dynamical systems.
