Gauge Theory Duality And Chern Simons Theory

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The Floer Memorial Volume

Author : Helmut Hofer
Publisher : Birkhäuser
ISBN 13 : 3034892179
Total Pages : 688 pages
Book Rating : 4.0/5 (348 download)

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Book Synopsis The Floer Memorial Volume by : Helmut Hofer

Download or read book The Floer Memorial Volume written by Helmut Hofer and published by Birkhäuser. This book was released on 2012-12-06 with total page 688 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 This volume opens with a short biography and three hitherto unpublished papers of Andreas Floer.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

Author : Marcos Marino
Publisher : Oxford University Press
ISBN 13 : 0198568495
Total Pages : 210 pages
Book Rating : 4.1/5 (985 download)

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Book Synopsis Chern-Simons Theory, Matrix Models, and Topological Strings by : Marcos Marino

Download or read book Chern-Simons Theory, Matrix Models, and Topological Strings written by Marcos Marino and published by Oxford University Press. This book was released on 2005 with total page 210 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides an introduction to some of the most recent developments in string theory, and in particular to their mathematical implications and their impact in knot theory and algebraic geometry.

Gauge Theory Duality and Chern-Simons Theory

Author : Yoon Pyo Hong
Publisher :
ISBN 13 :
Total Pages : 242 pages
Book Rating : 4.:/5 (35 download)

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Book Synopsis Gauge Theory Duality and Chern-Simons Theory by : Yoon Pyo Hong

Download or read book Gauge Theory Duality and Chern-Simons Theory written by Yoon Pyo Hong and published by . This book was released on 2009 with total page 242 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Current Algebra and Anomalies

Author : Sam Treiman
Publisher : Princeton University Press
ISBN 13 : 1400854563
Total Pages : 550 pages
Book Rating : 4.4/5 (8 download)

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Book Synopsis Current Algebra and Anomalies by : Sam Treiman

Download or read book Current Algebra and Anomalies written by Sam Treiman and published by Princeton University Press. This book was released on 2014-07-14 with total page 550 pages. Available in PDF, EPUB and Kindle. Book excerpt: Current algebra remains our most successful analysis of fundamental particle interactions. This collection of surveys on current algebra and anomalies is a successor volume to Lectures on Current Algebra and Its Applications (Princeton Series in Physics, 1972). Originally published in 1986. The Princeton Legacy Library uses the latest print-on-demand technology to again make available previously out-of-print books from the distinguished backlist of Princeton University Press. These editions preserve the original texts of these important books while presenting them in durable paperback and hardcover editions. The goal of the Princeton Legacy Library is to vastly increase access to the rich scholarly heritage found in the thousands of books published by Princeton University Press since its founding in 1905.

Memorial Volume On Abdus Salam's 90th Birthday

Author : Lars Brink
Publisher : World Scientific
ISBN 13 : 9813144882
Total Pages : 543 pages
Book Rating : 4.8/5 (131 download)

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Book Synopsis Memorial Volume On Abdus Salam's 90th Birthday by : Lars Brink

Download or read book Memorial Volume On Abdus Salam's 90th Birthday written by Lars Brink and published by World Scientific. This book was released on 2017-03-21 with total page 543 pages. Available in PDF, EPUB and Kindle. Book excerpt: 'This book presents a timely set of academic and intellectual views on Salam’s scientific passion, contribution and personality, and will be of great interest to academics in the fields of particle physics, high energy physics and scientific history of the developing world.'Contemporary PhysicsIn honor of one of the most prolific and exciting scientists of the second half of the last century, a memorial meeting was organized by the Institute of Advanced Studies at Nanyang Technological University for Professor Abdus Salam's 90th Birthday in January 2016.Salam believed that 'scientific thought is the common heritage of all mankind' and that the developing world should play its part, not merely by importing technology but by being the arbiter of its own scientific destiny. That belief saw him rise from humble beginnings in a village in Pakistan to become one of the world's most original and influential particle physicists, culminating in the 1979 Nobel Prize (shared with Glashow and Weinberg) for contributions to electroweak unification, which forms an integral part of the Standard Model.The book collected the papers presented at this memorable event which saw many distinguished scientists participating as speakers to reflect on Prof Salam's great passion for the science and achievements.

Higher Spin Gauge Theories

Author : Lars Brink
Publisher : World Scientific
ISBN 13 : 9813144114
Total Pages : 403 pages
Book Rating : 4.8/5 (131 download)

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Book Synopsis Higher Spin Gauge Theories by : Lars Brink

Download or read book Higher Spin Gauge Theories written by Lars Brink and published by World Scientific. This book was released on 2016-11-01 with total page 403 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Differential Forms in Algebraic Topology

Author : Raoul Bott
Publisher : Springer Science & Business Media
ISBN 13 : 1475739516
Total Pages : 319 pages
Book Rating : 4.4/5 (757 download)

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Book Synopsis Differential Forms in Algebraic Topology by : Raoul Bott

Download or read book Differential Forms in Algebraic Topology written by Raoul Bott and published by Springer Science & Business Media. This book was released on 2013-04-17 with total page 319 pages. Available in PDF, EPUB and Kindle. Book excerpt: Developed from a first-year graduate course in algebraic topology, this text is an informal introduction to some of the main ideas of contemporary homotopy and cohomology theory. The materials are structured around four core areas: de Rham theory, the Cech-de Rham complex, spectral sequences, and characteristic classes. By using the de Rham theory of differential forms as a prototype of cohomology, the machineries of algebraic topology are made easier to assimilate. With its stress on concreteness, motivation, and readability, this book is equally suitable for self-study and as a one-semester course in topology.

Homotopy Quantum Field Theory

Author : Vladimir G. Turaev
Publisher : European Mathematical Society
ISBN 13 : 9783037190869
Total Pages : 300 pages
Book Rating : 4.1/5 (98 download)

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Book Synopsis Homotopy Quantum Field Theory by : Vladimir G. Turaev

Download or read book Homotopy Quantum Field Theory written by Vladimir G. Turaev and published by European Mathematical Society. This book was released on 2010 with total page 300 pages. Available in PDF, EPUB and Kindle. Book excerpt: Homotopy Quantum Field Theory (HQFT) is a branch of Topological Quantum Field Theory founded by E. Witten and M. Atiyah. It applies ideas from theoretical physics to study principal bundles over manifolds and, more generally, homotopy classes of maps from manifolds to a fixed target space. This book is the first systematic exposition of Homotopy Quantum Field Theory. It starts with a formal definition of an HQFT and provides examples of HQFTs in all dimensions. The main body of the text is focused on $2$-dimensional and $3$-dimensional HQFTs. A study of these HQFTs leads to new algebraic objects: crossed Frobenius group-algebras, crossed ribbon group-categories, and Hopf group-coalgebras. These notions and their connections with HQFTs are discussed in detail. The text ends with several appendices including an outline of recent developments and a list of open problems. Three appendices by M. Muger and A. Virelizier summarize their work in this area. The book is addressed to mathematicians, theoretical physicists, and graduate students interested in topological aspects of quantum field theory. The exposition is self-contained and well suited for a one-semester graduate course. Prerequisites include only basics of algebra and topology.

Scattering Amplitudes in Gauge Theory and Gravity

Author : Henriette Elvang
Publisher : Cambridge University Press
ISBN 13 : 1107069254
Total Pages : 337 pages
Book Rating : 4.1/5 (7 download)

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Book Synopsis Scattering Amplitudes in Gauge Theory and Gravity by : Henriette Elvang

Download or read book Scattering Amplitudes in Gauge Theory and Gravity written by Henriette Elvang and published by Cambridge University Press. This book was released on 2015-02-05 with total page 337 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides a comprehensive, pedagogical introduction to scattering amplitudes in gauge theory and gravity for graduate students.

Field Theories of Condensed Matter Physics

Author : Eduardo Fradkin
Publisher : Cambridge University Press
ISBN 13 : 0521764440
Total Pages : 855 pages
Book Rating : 4.5/5 (217 download)

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Book Synopsis Field Theories of Condensed Matter Physics by : Eduardo Fradkin

Download or read book Field Theories of Condensed Matter Physics written by Eduardo Fradkin and published by Cambridge University Press. This book was released on 2013-02-28 with total page 855 pages. Available in PDF, EPUB and Kindle. Book excerpt: Presenting the physics of the most challenging problems in condensed matter using the conceptual framework of quantum field theory, this book is of great interest to physicists in condensed matter and high energy and string theorists, as well as mathematicians. Revised and updated, this second edition features new chapters on the renormalization group, the Luttinger liquid, gauge theory, topological fluids, topological insulators and quantum entanglement. The book begins with the basic concepts and tools, developing them gradually to bring readers to the issues currently faced at the frontiers of research, such as topological phases of matter, quantum and classical critical phenomena, quantum Hall effects and superconductors. Other topics covered include one-dimensional strongly correlated systems, quantum ordered and disordered phases, topological structures in condensed matter and in field theory and fractional statistics.

Gauge/Gravity Duality

Author : Martin Ammon
Publisher : Cambridge University Press
ISBN 13 : 1107010349
Total Pages : 549 pages
Book Rating : 4.1/5 (7 download)

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Book Synopsis Gauge/Gravity Duality by : Martin Ammon

Download or read book Gauge/Gravity Duality written by Martin Ammon and published by Cambridge University Press. This book was released on 2015-04-09 with total page 549 pages. Available in PDF, EPUB and Kindle. Book excerpt: The first textbook on this important topic, for graduate students and researchers in particle and condensed matter physics.

New Dualities of Supersymmetric Gauge Theories

Author : Jörg Teschner
Publisher : Springer
ISBN 13 : 3319187694
Total Pages : 467 pages
Book Rating : 4.3/5 (191 download)

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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.

Geometry, Topology and Physics

Author : Mikio Nakahara
Publisher : Taylor & Francis
ISBN 13 : 1420056948
Total Pages : 596 pages
Book Rating : 4.4/5 (2 download)

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Book Synopsis Geometry, Topology and Physics by : Mikio Nakahara

Download or read book Geometry, Topology and Physics written by Mikio Nakahara and published by Taylor & Francis. This book was released on 2018-10-03 with total page 596 pages. Available in PDF, EPUB and Kindle. Book excerpt: Differential geometry and topology have become essential tools for many theoretical physicists. In particular, they are indispensable in theoretical studies of condensed matter physics, gravity, and particle physics. Geometry, Topology and Physics, Second Edition introduces the ideas and techniques of differential geometry and topology at a level suitable for postgraduate students and researchers in these fields. The second edition of this popular and established text incorporates a number of changes designed to meet the needs of the reader and reflect the development of the subject. The book features a considerably expanded first chapter, reviewing aspects of path integral quantization and gauge theories. Chapter 2 introduces the mathematical concepts of maps, vector spaces, and topology. The following chapters focus on more elaborate concepts in geometry and topology and discuss the application of these concepts to liquid crystals, superfluid helium, general relativity, and bosonic string theory. Later chapters unify geometry and topology, exploring fiber bundles, characteristic classes, and index theorems. New to this second edition is the proof of the index theorem in terms of supersymmetric quantum mechanics. The final two chapters are devoted to the most fascinating applications of geometry and topology in contemporary physics, namely the study of anomalies in gauge field theories and the analysis of Polakov's bosonic string theory from the geometrical point of view. Geometry, Topology and Physics, Second Edition is an ideal introduction to differential geometry and topology for postgraduate students and researchers in theoretical and mathematical physics.

Mirror Symmetry

Author : Kentaro Hori
Publisher : American Mathematical Soc.
ISBN 13 : 0821829556
Total Pages : 954 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Mirror Symmetry by : Kentaro Hori

Download or read book Mirror Symmetry written by Kentaro Hori and published by American Mathematical Soc.. This book was released on 2003 with total page 954 pages. Available in PDF, EPUB and Kindle. Book excerpt: This thorough and detailed exposition is the result of an intensive month-long course on mirror symmetry sponsored by the Clay Mathematics Institute. It develops mirror symmetry from both mathematical and physical perspectives with the aim of furthering interaction between the two fields. The material will be particularly useful for mathematicians and physicists who wish to advance their understanding across both disciplines. Mirror symmetry is a phenomenon arising in string theory in which two very different manifolds give rise to equivalent physics. Such a correspondence has significant mathematical consequences, the most familiar of which involves the enumeration of holomorphic curves inside complex manifolds by solving differential equations obtained from a ``mirror'' geometry. The inclusion of D-brane states in the equivalence has led to further conjectures involving calibrated submanifolds of the mirror pairs and new (conjectural) invariants of complex manifolds: the Gopakumar-Vafa invariants. This book gives a single, cohesive treatment of mirror symmetry. Parts 1 and 2 develop the necessary mathematical and physical background from ``scratch''. The treatment is focused, developing only the material most necessary for the task. In Parts 3 and 4 the physical and mathematical proofs of mirror symmetry are given. From the physics side, this means demonstrating that two different physical theories give isomorphic physics. Each physical theory can be described geometrically, and thus mirror symmetry gives rise to a ``pairing'' of geometries. The proof involves applying $R\leftrightarrow 1/R$ circle duality to the phases of the fields in the gauged linear sigma model. The mathematics proof develops Gromov-Witten theory in the algebraic setting, beginning with the moduli spaces of curves and maps, and uses localization techniques to show that certain hypergeometric functions encode the Gromov-Witten invariants in genus zero, as is predicted by mirror symmetry. Part 5 is devoted to advanced topi This one-of-a-kind book is suitable for graduate students and research mathematicians interested in mathematics and mathematical and theoretical physics.

Self-Dual Chern-Simons Theories

Author : Gerald Dunne
Publisher : Springer Science & Business Media
ISBN 13 : 3540447776
Total Pages : 226 pages
Book Rating : 4.5/5 (44 download)

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Book Synopsis Self-Dual Chern-Simons Theories by : Gerald Dunne

Download or read book Self-Dual Chern-Simons Theories written by Gerald Dunne and published by Springer Science & Business Media. This book was released on 2009-02-13 with total page 226 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Chern-Simons Gauge Theory: 20 Years After

Author : Jørgen E. Andersen
Publisher : American Mathematical Soc.
ISBN 13 : 0821853538
Total Pages : 464 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Chern-Simons Gauge Theory: 20 Years After by : Jørgen E. Andersen

Download or read book Chern-Simons Gauge Theory: 20 Years After written by Jørgen E. Andersen and published by American Mathematical Soc.. This book was released on 2011 with total page 464 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Lectures on Tensor Categories and Modular Functors

Author : Bojko Bakalov
Publisher : American Mathematical Soc.
ISBN 13 : 0821826867
Total Pages : 232 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Lectures on Tensor Categories and Modular Functors by : Bojko Bakalov

Download or read book Lectures on Tensor Categories and Modular Functors written by Bojko Bakalov and published by American Mathematical Soc.. This book was released on 2001 with total page 232 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book gives an exposition of the relations among the following three topics: monoidal tensor categories (such as a category of representations of a quantum group), 3-dimensional topological quantum field theory, and 2-dimensional modular functors (which naturally arise in 2-dimensional conformal field theory). The following examples are discussed in detail: the category of representations of a quantum group at a root of unity and the Wess-Zumino-Witten modular functor. The idea that these topics are related first appeared in the physics literature in the study of quantum field theory. Pioneering works of Witten and Moore-Seiberg triggered an avalanche of papers, both physical and mathematical, exploring various aspects of these relations. Upon preparing to lecture on the topic at MIT, however, the authors discovered that the existing literature was difficult and that there were gaps to fill. The text is wholly expository and finely succinct. It gathers results, fills existing gaps, and simplifies some proofs. The book makes an important addition to the existing literature on the topic. It would be suitable as a course text at the advanced-graduate level.