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Supersymmetric Field Theories
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Book Synopsis Supersymmetric Gauge Field Theory and String Theory by : D. Bailin
Download or read book Supersymmetric Gauge Field Theory and String Theory written by D. Bailin and published by CRC Press. This book was released on 1994-01-01 with total page 672 pages. Available in PDF, EPUB and Kindle. Book excerpt: Designed as a sequel to the authors' Introduction to Gauge Field Theory, Supersymmetric Gauge Field Theory and String Theory introduces first-year graduate students to supersymmetric theories, including supergravity and superstring theories. Starting with the necessary background in quantum field theory, the book covers the three key topics of high-energy physics. The emphasis is on practical calculations rather than abstract generalities or phenomenological results. Where possible, the authors show how to calculate, connecting the theoretical with the phenomenological. While the field continues to advance and grow, this book addresses the basic theory at the core and will likely remain relevant even if more advanced ideas change.
Book Synopsis An Introduction to Two-Dimensional Quantum Field Theory with (0,2) Supersymmetry by : Ilarion V. Melnikov
Download or read book An Introduction to Two-Dimensional Quantum Field Theory with (0,2) Supersymmetry written by Ilarion V. Melnikov and published by Springer. This book was released on 2019-02-11 with total page 482 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book introduces two-dimensional supersymmetric field theories with emphasis on both linear and non-linear sigma models. Complex differential geometry, in connection with supersymmetry, has played a key role in most developments of the last thirty years in quantum field theory and string theory. Both structures introduce a great deal of rigidity compared to the more general categories of non-supersymmetric theories and real differential geometry, allowing for many general conceptual results and detailed quantitative predictions. Two-dimensional (0,2) supersymmetric quantum field theories provide a natural arena for the fruitful interplay between geometry and quantum field theory. These theories play an important role in string theory and provide generalizations, still to be explored fully, of rich structures such as mirror symmetry. They also have applications to non-perturbative four-dimensional physics, for instance as descriptions of surface defects or low energy dynamics of solitonic strings in four-dimensional supersymmetric theories. The purpose of these lecture notes is to acquaint the reader with these fascinating theories, assuming a background in conformal theory, quantum field theory and differential geometry at the beginning graduate level. In order to investigate the profound relations between structures from complex geometry and field theory the text begins with a thorough examination of the basic structures of (0,2) quantum field theory and conformal field theory. Next, a simple class of Lagrangian theories, the (0,2) Landau-Ginzburg models, are discussed, together with the resulting renormalization group flows, dynamics, and symmetries. After a thorough introduction and examination of (0,2) non-linear sigma models, the text introduces linear sigma models that, in particular, provide a unified treatment of non-linear sigma models and Landau-Ginzburg theories. Many exercises, along with discussions of relevant mathematical notions and important open problems in the field, are included in the text.
Book Synopsis Introduction to Supersymmetric Field Theory by : Sergio M. Kuzenko
Download or read book Introduction to Supersymmetric Field Theory written by Sergio M. Kuzenko and published by CRC Press. This book was released on 1998-01-01 with total page 680 pages. Available in PDF, EPUB and Kindle. Book excerpt: Ideas and Methods of Supersymmetry and Supergravity: Or a Walk Through Superspace provides a comprehensive, detailed, and self-contained account of four dimensional simple supersymmetry and supergravity. Throughout the book, the authors cultivate their material in detail with calculations and full discussions of the fundamental ideas and motivations. They develop the subject in its superfield formulations but where appropriate for illustration, analogy, and comparison with conventional field theory, they use the component formulation. The book discusses many subjects that, until now, can only be found in the research literature. In addition, it presents a plethora of new results. Combining classical and quantum field theory with group theory, differential geometry, and algebra, the book begins with a solid mathematical background that is used in the rest of the book. The next chapter covers algebraic aspects of supersymmetry and the concepts of superspace and superfield. In the following chapters, the book presents classical and quantum superfield theory and the superfield formulation of supergravity. A synthesis of results and methods developed in the book, the final chapter concludes with the theory of effective action in curved superspaces. After studying this book, readers should be well prepared to pursue independent research in any area of supersymmetry and supergravity. It will be an indispensable source of reference for advanced graduate students, postdoctoral faculty, and researchers involved in quantum field theory, high energy physics, gravity theory, mathematical physics, and applied mathematics.
Book Synopsis New Dualities of Supersymmetric Gauge Theories by : Jörg Teschner
Download or read book New Dualities of Supersymmetric Gauge Theories written by Jörg Teschner and published by Springer. This book was released on 2015-11-17 with total page 467 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book reviews a number of spectacular advances that have been made in the study of supersymmetric quantum field theories in the last few years. Highlights include exact calculations of Wilson loop expectation values, and highly nontrivial quantitative checks of the long-standing electric-magnetic duality conjectures The book starts with an introductory article presenting a survey of recent advances, aimed at a wide audience with a background and interest in theoretical physics. The following articles are written for advanced students and researchers in quantum field theory, string theory and mathematical physics, our goal being to familiarize these readers with the forefront of current research. The topics covered include recent advances in the classification and vacuum structure of large families of N=2 supersymmetric field theories, followed by an extensive discussion of the localisation method, one of the most powerful tools for exact studies of supersymmetric field theories. The quantities that have been studied in this way are partition functions, expectation values of line operators, and supersymmetric indices. The book also reviews recently discovered connections between SUSY field theories in four dimensions and two-dimensional conformal field theory. These connections have a counterpart in relations between three-dimensional gauge theories and Chern-Simons theory; the book’s closing chapters explore connections with string theory.
Book Synopsis N=2 Supersymmetric Dynamics for Pedestrians by : Yuji Tachikawa
Download or read book N=2 Supersymmetric Dynamics for Pedestrians written by Yuji Tachikawa and published by Springer. This book was released on 2014-10-15 with total page 236 pages. Available in PDF, EPUB and Kindle. Book excerpt: Understanding the dynamics of gauge theories is crucial, given the fact that all known interactions are based on the principle of local gauge symmetry. Beyond the perturbative regime, however, this is a notoriously difficult problem. Requiring invariance under supersymmetry turns out to be a suitable tool for analyzing supersymmetric gauge theories over a larger region of the space of parameters. Supersymmetric quantum field theories in four dimensions with extended N=2 supersymmetry are further constrained and have therefore been a fertile field of research in theoretical physics for quite some time. Moreover, there are far-reaching mathematical ramifications that have led to a successful dialogue with differential and algebraic geometry. These lecture notes aim to introduce students of modern theoretical physics to the fascinating developments in the understanding of N=2 supersymmetric gauge theories in a coherent fashion. Starting with a gentle introduction to electric-magnetic duality, the author guides readers through the key milestones in the field, which include the work of Seiberg and Witten, Nekrasov, Gaiotto and many others. As an advanced graduate level text, it assumes that readers have a working knowledge of supersymmetry including the formalism of superfields, as well as of quantum field theory techniques such as regularization, renormalization and anomalies. After his graduation from the University of Tokyo, Yuji Tachikawa worked at the Institute for Advanced Study, Princeton and the Kavli Institute for Physics and Mathematics of the Universe. Presently at the Department of Physics, University of Tokyo, Tachikawa is the author of several important papers in supersymmetric quantum field theories and string theory.
Book Synopsis Supersymmetric Field Theories by : Sergio Cecotti
Download or read book Supersymmetric Field Theories written by Sergio Cecotti and published by Cambridge University Press. This book was released on 2015-01-08 with total page 425 pages. Available in PDF, EPUB and Kindle. Book excerpt: Adopting an elegant geometrical approach, this advanced pedagogical text describes deep and intuitive methods for understanding the subtle logic of supersymmetry while avoiding lengthy computations. The book describes how complex results and formulae obtained using other approaches can be significantly simplified when translated to a geometric setting. Introductory chapters describe geometric structures in field theory in the general case, while detailed later chapters address specific structures such as parallel tensor fields, G-structures, and isometry groups. The relationship between structures in supergravity and periodic maps of algebraic manifolds, Kodaira-Spencer theory, modularity, and the arithmetic properties of supergravity are also addressed. Relevant geometric concepts are introduced and described in detail, providing a self-contained toolkit of useful techniques, formulae and constructions. Covering all the material necessary for the application of supersymmetric field theories to fundamental physical questions, this is an outstanding resource for graduate students and researchers in theoretical physics.
Book Synopsis Supersymmetric Gauge Field Theory and String Theory by : D. Bailin
Download or read book Supersymmetric Gauge Field Theory and String Theory written by D. Bailin and published by CRC Press. This book was released on 1994-01-01 with total page 335 pages. Available in PDF, EPUB and Kindle. Book excerpt: Designed as a sequel to the authors' Introduction to Gauge Field Theory, Supersymmetric Gauge Field Theory and String Theory introduces first-year graduate students to supersymmetric theories, including supergravity and superstring theories. Starting with the necessary background in quantum field theory, the book covers the three key topics of high-energy physics. The emphasis is on practical calculations rather than abstract generalities or phenomenological results. Where possible, the authors show how to calculate, connecting the theoretical with the phenomenological. While the field continues to advance and grow, this book addresses the basic theory at the core and will likely remain relevant even if more advanced ideas change.
Book Synopsis Ideas and Methods of Supersymmetry and Supergravity, Or a Walk Through Superspace by : I. L. Buchbinder
Download or read book Ideas and Methods of Supersymmetry and Supergravity, Or a Walk Through Superspace written by I. L. Buchbinder and published by CRC Press. This book was released on 1995-02-23 with total page 670 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides a comprehensive, detailed and self-contained account of four dimensional simple supersymmetry and supergravity. It will be an indispensable source of reference for advanced graduate students, postdoctoral and faculty researchers alike working in quantum field theory, high energy physics, gravity theory, mathematical physics and applied mathematics. The authors develop the subject in its superfield formulation but where appropriate for illustration, analogy and comparison with conventional field theory, they use the component formulation. Throughout the book the authors develop their material in detail with calculation and full discussions of the fundamental ideas and motivations. They discuss many subjects which until now could only be found in the research literature. In addition they present a plethora of new results. The result is the most comprehensive book yet produced on the fundamentals of supersymmetry and supergravity. After studying this book readers should be well prepared to pursue independent research in any area of supersymmetry and supergravity.
Book Synopsis Introduction to Supersymmetric Field Theory by : Sergei M. Kuzenko
Download or read book Introduction to Supersymmetric Field Theory written by Sergei M. Kuzenko and published by . This book was released on 1998 with total page 656 pages. Available in PDF, EPUB and Kindle. Book excerpt: Ideas and Methods of Supersymmetry and Supergravity: Or a Walk Through Superspace provides a comprehensive, detailed, and self-contained account of four dimensional simple supersymmetry and supergravity. Throughout the book, the authors cultivate their material in detail with calculations and full discussions of the fundamental ideas and motivations. They develop the subject in its superfield formulations but where appropriate for illustration, analogy, and comparison with conventional field theory, they use the component formulation. The book discusses many subjects that, until now, can only be found in the research literature. In addition, it presents a plethora of new results. Combining classical and quantum field theory with group theory, differential geometry, and algebra, the book begins with a solid mathematical background that is used in the rest of the book. The next chapter covers algebraic aspects of supersymmetry and the concepts of superspace and superfield. In the following chapters, the book presents classical and quantum superfield theory and the superfield formulation of supergravity. A synthesis of results and methods developed in the book, the final chapter concludes with the theory of effective action in curved superspaces. After studying this book, readers should be well prepared to pursue independent research in any area of supersymmetry and supergravity. It will be an indispensable source of reference for advanced graduate students, postdoctoral faculty, and researchers involved in quantum field theory, high energy physics, gravity theory, mathematical physics, and applied mathematics.
Book Synopsis The Supersymmetric World - The Beginning Of The Theory by : Misha Shifman
Download or read book The Supersymmetric World - The Beginning Of The Theory written by Misha Shifman and published by World Scientific. This book was released on 2000-12-22 with total page 289 pages. Available in PDF, EPUB and Kindle. Book excerpt: The story of the discovery of supersymmetry is a fascinating one, unlike that of any other major development in the history of science. This engaging book presents a view of the process, mainly in the words of people who participated. It combines anecdotal descriptions and personal reminiscences with more technical accounts of the trailblazers, covering the birth of the theory and its first years — the origin of the idea, four-dimensional field theory realization, and supergravity. The eyewitnesses convey to us the drama of one of the deepest discoveries in theoretical physics in the 20th century. This book will be equally interesting and useful to young researchers in high energy physics and to mature scholars — physicists and historians of science.
Book Synopsis Five Lectures on Supersymmetry by : Daniel S. Freed
Download or read book Five Lectures on Supersymmetry written by Daniel S. Freed and published by American Mathematical Soc.. This book was released on with total page 132 pages. Available in PDF, EPUB and Kindle. Book excerpt: The lectures featured in this book treat fundamental concepts necessary for understanding the physics behind these mathematical applications. Freed approaches the topic with the assumption that the basic notions of supersymmetric field theory are unfamiliar to most mathematicians. He presents the material intending to impart a firm grounding in the elementary ideas.
Book Synopsis Supersymmetry in Particle Physics by : Ian Aitchison
Download or read book Supersymmetry in Particle Physics written by Ian Aitchison and published by Cambridge University Press. This book was released on 2007-09-20 with total page 214 pages. Available in PDF, EPUB and Kindle. Book excerpt: Supersymmetry represents the culmination of the search for fundamental symmetries that has dominated particle physics for 50 years. Traditionally, the constituents of matter (fermions) were regarded as different from the particles (bosons) transmitting the forces between them. In supersymmetry, fermions and bosons are unified. Intended for graduate students in particle physics, and researchers in experimental and phenomenological supersymmetry, this textbook, first published in 2007, provides a simple introduction to a previously formidably technical field. Its elementary, practical treatment brings readers to the frontier of contemporary research, in particular the experiments at the Large Hadron Collider. Theories are constructed through an intuitive 'trial and error' approach. Basic elements of spinor formalism and superfields are introduced, allowing readers to access more advanced treatments. Emphasis is placed on physical understanding, and on detailed derivations of important steps. Many short exercises are included, making for a valuable and accessible self-study tool.
Book Synopsis Introduction to Supersymmetry by : Peter G. O. Freund
Download or read book Introduction to Supersymmetry written by Peter G. O. Freund and published by Cambridge University Press. This book was released on 1986 with total page 168 pages. Available in PDF, EPUB and Kindle. Book excerpt: A brief introductory description of the new physical and mathematical ideas involved in formulating supersymmetric theories. The basic ideas are worked out in low space dimensionalities and techniques where the formulae do not obscure the concepts.
Book Synopsis Topics in Supersymmetric Field Theories and Superstrings by : Zi Wang
Download or read book Topics in Supersymmetric Field Theories and Superstrings written by Zi Wang and published by . This book was released on 1988 with total page 352 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Anticipating The Next Discoveries In Particle Physics (Tasi 2016) - Proceedings Of The 2016 Theoretical Advanced Study Institute In Elementary Particle Physics by : Rouven Essig
Download or read book Anticipating The Next Discoveries In Particle Physics (Tasi 2016) - Proceedings Of The 2016 Theoretical Advanced Study Institute In Elementary Particle Physics written by Rouven Essig and published by World Scientific. This book was released on 2018-05-22 with total page 634 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume is a compilation of lectures delivered at the TASI 2016 summer school, 'Anticipating the Next Discoveries in Particle Physics', held at the University of Colorado at Boulder in June 2016. The school focused on topics in theoretical particle physics, phenomenology, dark matter, and cosmology of interest to contemporary researchers in these fields. The lectures are accessible to graduate students in the initial stages of their research careers.
Download or read book Super Field Theories written by H.C. Lee and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 594 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Super Field Theory Workshop, held at Simon Fraser University, Vancouver, Canada July 25 - August 5, 1986 was originally intended to be a sequel to the 1983 Chalk River Workshop on Kaluza-Klein Theories and the 1985 Workshop on Quantum Field Theories held at the University of Western Ontario. The scope of the workshop was therefore not to be very big, with a program of about 20 papers, an anticipated 30 to 45 participants, and with much time scheduled for discussion and personal contact. These goals were soon changed in the face of wide interest in the workshop, both for participation and for giving talks, so that the workshop materialized with about 90 participants and 40 talks. This volume contains the texts, some considerably expanded from the oral version, of most of the talks pre sented at the workshop. Not included are a few talks whose manuscripts were not made available to the editors. In the last few years the subject of particle physics and unified field theory has developed in a way not witnessed in the last fifty years: a confluence with mathematics, especially in geometry, topology and algebra at an advanced level. This has vastly expanded the horizon of the disci pline and heightened the expectation that a true understanding of the fun damental laws of physics may soon be within reach. Most aspects of this new development are covered, many in pedagogical detail, by articles in this volume.
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.
