Chern Simons Gauge Theory
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Chern Simons Gauge Theory 20 Years After
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Author : Jørgen E. Andersen
language : en
Publisher: American Mathematical Soc.
Release Date : 2011
Chern Simons Gauge Theory 20 Years After written by Jørgen E. Andersen and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011 with Mathematics categories.
In 1989, Edward Witten discovered a deep relationship between quantum field theory and knot theory, and this beautiful discovery created a new field of research called Chern-Simons theory. This field has the remarkable feature of intertwining a large number of diverse branches of research in mathematics and physics, among them low-dimensional topology, differential geometry, quantum algebra, functional and stochastic analysis, quantum gravity, and string theory. The 20-year anniversary of Witten's discovery provided an opportunity to bring together researchers working in Chern-Simons theory for a meeting, and the resulting conference, which took place during the summer of 2009 at the Max Planck Institute for Mathematics in Bonn, included many of the leading experts in the field. This volume documents the activities of the conference and presents several original research articles, including another monumental paper by Witten that is sure to stimulate further activity in this and related fields. This collection will provide an excellent overview of the current research directions and recent progress in Chern-Simons gauge theory.
Lecture Notes On Chern Simons Witten Theory
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Author : Sen Hu
language : en
Publisher: World Scientific
Release Date : 2001
Lecture Notes On Chern Simons Witten Theory written by Sen Hu and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2001 with Gauge fields (Physics). categories.
This monograph is based on lectures on topological quantum field theory given in 1989 at Princeton University by E. Witten, in which he unified several important mathematical works in terms of the Donaldson polynomial, Gromov/Floer homology, and Jones polynomials. Witten explained his three-dimensional construction of Jones polynomials, "an elegant construction of a new polynomial invariant in three-dimensional space" (per the author), via quantization of Chern-Simons gauge theory. Hu (Princeton U.) adds missing details and some new developments in the field. Annotation copyrighted by Book News Inc., Portland, OR.
Chern Simons Gauge Theory
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Author : Jørgen E. Andersen
language : en
Publisher: American Mathematical Soc.
Release Date :
Chern Simons Gauge Theory written by Jørgen E. Andersen and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on with Mathematics categories.
In 1989, Edward Witten discovered a deep relationship between quantum field theory and knot theory, and this discovery created a new field of research called Chern-Simons theory. This volume documents the activities of a conference which took place in 2009 and focused on Chern-Simons theory.
Self Dual Chern Simons Theories
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Author : Gerald Dunne
language : en
Publisher: Springer Science & Business Media
Release Date : 2009-02-13
Self Dual Chern Simons Theories written by Gerald Dunne and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009-02-13 with Science categories.
Self-duality greatly reduces the mathematical difficulties of a theory but it is also a notion of considerable physical significance. The new class of self-dual Chern-Simons theories discussed in detail in this book arise in the context of anyonic quantum field theory and have applications to models such as the quantum Hall effect, anyonic superconductivity, and Aharonov-Bohm scattering. There are also interesting connections with the theory of integrable models. The author presents the abelian and non-abelian models for relativistic and non-relativistic realizations of the self-dual Chern-Simons theories and finishes with some applications in quantum physics. The book is written for advanced students and researchers in mathematical, particle, and condensed matter physics.
Noncovariant Gauges
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Author : George Leibbrandt
language : en
Publisher: World Scientific
Release Date : 1994
Noncovariant Gauges written by George Leibbrandt and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1994 with Science categories.
Some of the most effective gauges in field theory are noncovariant gauges of the axial kind, such as the light-cone gauge and the temporal gauge. The principal advantage of these gauges stems from the decoupling of the fictitious particles in the theory. The purpose of this volume is to give a clear and readable account of the basic features and mathematical subtleties of these ghost-free gauges, and of their truly enormous range of applicability.In addition to explicit one-loop computations in Yang-Mills and Chern-Simons theory, the book contains detailed analysis of the unifield-gauge formalism and of the renormalization of Yang-Mills theory in the presence of nonlocal terms.
Chern Simons Gauge Theory 20 Years After
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FREE 30 Days
Author : Jørgen E. Andersen
language : en
Publisher:
Release Date : 2011
Chern Simons Gauge Theory 20 Years After written by Jørgen E. Andersen and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011 with Algebraic topology categories.
In 1989, Edward Witten discovered a deep relationship between quantum field theory and knot theory, and this beautiful discovery created a new field of research called Chern-Simons theory. This field has the remarkable feature of intertwining a large number of diverse branches of research in mathematics and physics, among them low-dimensional topology, differential geometry, quantum algebra, functional and stochastic analysis, quantum gravity, and string theory. The 20-year anniversary of Witten's discovery provided an opportunity to bring together researchers working in Chern-Simons theory fo.
The Link Invariants Of The Chern Simons Field Theory
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Author : E. Guadagnini
language : en
Publisher: Walter de Gruyter
Release Date : 2011-04-20
The Link Invariants Of The Chern Simons Field Theory written by E. Guadagnini and has been published by Walter de Gruyter this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-04-20 with Mathematics categories.
The aim of the series is to present new and important developments in pure and applied mathematics. Well established in the community over two decades, it offers a large library of mathematics including several important classics. The volumes supply thorough and detailed expositions of the methods and ideas essential to the topics in question. In addition, they convey their relationships to other parts of mathematics. The series is addressed to advanced readers wishing to thoroughly study the topic. Editorial Board Lev Birbrair, Universidade Federal do Ceará, Fortaleza, Brasil Victor P. Maslov, Russian Academy of Sciences, Moscow, Russia Walter D. Neumann, Columbia University, New York, USA Markus J. Pflaum, University of Colorado, Boulder, USA Dierk Schleicher, Jacobs University, Bremen, Germany
Chern Simons Super Gravity
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Author : Mokhtar Hassaine
language : en
Publisher: World Scientific
Release Date : 2016
Chern Simons Super Gravity written by Mokhtar Hassaine and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016 with Science categories.
"This book grew out of a set of lecture notes on gravitational Chern–Simons (CS) theories developed over the past decade for several schools and different audiences including graduate students and researchers. CS theories are gauge-invariant theories that can include gravity consistently. They are only defined in odd dimensions and represent a very special class of theories in the Lovelock family. Lovelock gravitation theories are the natural extensions of General Relativity for dimensions greater than four that yield second-order field equations for the metric. These theories also admit local supersymmetric extensions where supersymmetry is an off-shell symmetry of the action, as in a standard gauge theory. Apart from the arguments of mathematical elegance and beauty, the gravitational CS actions are exceptionally endowed with physical attributes that suggest the viability of a quantum interpretation. CS theories are gauge-invariant, scale-invariant and background independent; they have no dimensional coupling constants. All constants in the Lagrangian are fixed rational coefficients that cannot be adjusted without destroying gauge invariance. This exceptional status of CS systems makes them classically interesting to study, and quantum mechanically intriguing and promising."--Provided by publisher.
The Floer Memorial Volume
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Author : Helmut Hofer
language : en
Publisher: Birkhäuser
Release Date : 2012-12-06
The Floer Memorial Volume written by Helmut Hofer and has been published by Birkhäuser this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Mathematics categories.
Andreas Floer died on May 15, 1991 an untimely and tragic death. His visions and far-reaching contributions have significantly influenced the developments of mathematics. His main interests centered on the fields of dynamical systems, symplectic geometry, Yang-Mills theory and low dimensional topology. Motivated by the global existence problem of periodic solutions for Hamiltonian systems and starting from ideas of Conley, Gromov and Witten, he developed his Floer homology, providing new, powerful methods which can be applied to problems inaccessible only a few years ago. This volume opens with a short biography and three hitherto unpublished papers of Andreas Floer. It then presents a collection of invited contributions, and survey articles as well as research papers on his fields of interest, bearing testimony of the high esteem and appreciation this brilliant mathematician enjoyed among his colleagues. Authors include: A. Floer, V.I. Arnold, M. Atiyah, M. Audin, D.M. Austin, S.M. Bates, P.J. Braam, M. Chaperon, R.L. Cohen, G. Dell' Antonio, S.K. Donaldson, B. D'Onofrio, I. Ekeland, Y. Eliashberg, K.D. Ernst, R. Finthushel, A.B. Givental, H. Hofer, J.D.S. Jones, I. McAllister, D. McDuff, Y.-G. Oh, L. Polterovich, D.A. Salamon, G.B. Segal, R. Stern, C.H. Taubes, C. Viterbo, A. Weinstein, E. Witten, E. Zehnder.
Chern Simons Theory Matrix Models And Topological Strings
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Author : Marcos Marino
language : en
Publisher: Oxford University Press
Release Date : 2005-09-22
Chern Simons Theory Matrix Models And Topological Strings written by Marcos Marino and has been published by Oxford University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005-09-22 with Science categories.
In recent years, the old idea that gauge theories and string theories are equivalent has been implemented and developed in various ways, and there are by now various models where the string theory / gauge theory correspondence is at work. One of the most important examples of this correspondence relates Chern-Simons theory, a topological gauge theory in three dimensions which describes knot and three-manifold invariants, to topological string theory, which is deeply related to Gromov-Witten invariants. This has led to some surprising relations between three-manifold geometry and enumerative geometry. This book gives the first coherent presentation of this and other related topics. After an introduction to matrix models and Chern-Simons theory, the book describes in detail the topological string theories that correspond to these gauge theories and develops the mathematical implications of this duality for the enumerative geometry of Calabi-Yau manifolds and knot theory. It is written in a pedagogical style and will be useful reading for graduate students and researchers in both mathematics and physics willing to learn about these developments.