Conformal Field Theory With Gauge Symmetry

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Conformal Field Theory with Gauge Symmetry

Kenji Ueno
Conformal Field Theory with Gauge Symmetry Book PDF

Author : Kenji Ueno
Publisher : American Mathematical Soc.
Page : 178 pages
File Size : 44,9 Mb
Release : 2008
Category : Conformal invariants
ISBN : 9780821840887

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Conformal Field Theory with Gauge Symmetry by Kenji Ueno Pdf

This book presents a systematic approach to conformal field theory with gauge symmetry from the point of view of complex algebraic geometry. After presenting the basic facts of the theory of compact Riemann surfaces and the representation theory of affine Lie algebras in Chapters 1 and 2, conformal blocks for pointed Riemann surfaces with coordinates are constructed in Chapter 3. In Chapter 4 the sheaf of conformal blocks associated to a family of pointed Riemann surfaces withcoordinates is constructed, and in Chapter 5 it is shown that this sheaf supports a projective flat connection-one of the most important facts of conformal field theory. Chapter 6 is devoted to the study of the detailed structure of the conformal field theory over $\mathbb{P}1$.Recently it was shown that modular functors can be constructed from conformal field theory, giving an interesting relationship between algebraic geometry and topological quantum field theory. This book provides a timely introduction to an intensively studied topic of conformal field theory with gauge symmetry by a leading algebraic geometer, and includes all the necessary techniques and results that are used to construct the modular functor.

Conformal Field Theory with Gauge Symmetry

Kenji Ueno
Conformal Field Theory with Gauge Symmetry Book PDF

Author : Kenji Ueno
Publisher : American Mathematical Soc.
Page : 184 pages
File Size : 50,9 Mb
Release : 2024-07-03
Category : Mathematics
ISBN : 0821871838

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Conformal Field Theory with Gauge Symmetry by Kenji Ueno Pdf

"Recently it was shown that modular functors can be constructed from conformal field theory, giving an interesting relationship between algebraic geometry and topological quantum field theory. This book provides a timely introduction to an intensively studied topic of conformal field theory with gauge symmetry by a leading algebraic geometer, and includes all the necessary techniques and results that are used to construct the modular functor."--BOOK JACKET.

Conformal Field Theory

Sergei V Ketov
Conformal Field Theory Book PDF

Author : Sergei V Ketov
Publisher : World Scientific
Page : 502 pages
File Size : 48,7 Mb
Release : 1995-02-28
Category : Science
ISBN : 9789814502528

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Conformal Field Theory by Sergei V Ketov Pdf

Conformal field theory is an elegant and powerful theory in the field of high energy physics and statistics. In fact, it can be said to be one of the greatest achievements in the development of this field. Presented in two dimensions, this book is designed for students who already have a basic knowledge of quantum mechanics, field theory and general relativity. The main idea used throughout the book is that conformal symmetry causes both classical and quantum integrability. Instead of concentrating on the numerous applications of the theory, the author puts forward a discussion of the general methods of conformal field theory as a physical theory. Hence the book provides in a self-contained way the necessary knowledge and “conformal” intuition which underline the various applications of conformal field theory. It is aimed to assist students and professionals in the study of the theory from its first principles and in applying the methods in their own research. The first of its kind, this book promises to give a detailed and comprehensive insight into the workings of conformal field theory.

A Mathematical Introduction to Conformal Field Theory

Martin Schottenloher
A Mathematical Introduction to Conformal Field Theory Book PDF

Author : Martin Schottenloher
Publisher : Springer Science & Business Media
Page : 153 pages
File Size : 44,6 Mb
Release : 2008-09-15
Category : Science
ISBN : 9783540706908

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A Mathematical Introduction to Conformal Field Theory by Martin Schottenloher Pdf

Part I gives a detailed, self-contained and mathematically rigorous exposition of classical conformal symmetry in n dimensions and its quantization in two dimensions. The conformal groups are determined and the appearence of the Virasoro algebra in the context of the quantization of two-dimensional conformal symmetry is explained via the classification of central extensions of Lie algebras and groups. Part II surveys more advanced topics of conformal field theory such as the representation theory of the Virasoro algebra, conformal symmetry within string theory, an axiomatic approach to Euclidean conformally covariant quantum field theory and a mathematical interpretation of the Verlinde formula in the context of moduli spaces of holomorphic vector bundles on a Riemann surface.

Geometry and Physics

H. Pedersen
Geometry and Physics Book PDF

Author : H. Pedersen
Publisher : CRC Press
Page : 766 pages
File Size : 51,6 Mb
Release : 2021-01-07
Category : Mathematics
ISBN : 9781000110852

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Geometry and Physics by H. Pedersen Pdf

"Based on the proceedings of the Special Session on Geometry and Physics held over a six month period at the University of Aarhus, Denmark and on articles from the Summer school held at Odense University, Denmark. Offers new contributions on a host of topics that involve physics, geometry, and topology. Written by more than 50 leading international experts."

Conformal Quantum Field Theory in D-dimensions

E.S. Fradkin,Mark Ya. Palchik
Conformal Quantum Field Theory in D dimensions Book PDF

Author : E.S. Fradkin,Mark Ya. Palchik
Publisher : Springer Science & Business Media
Page : 472 pages
File Size : 45,6 Mb
Release : 2013-03-14
Category : Science
ISBN : 9789401587570

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Conformal Quantum Field Theory in D-dimensions by E.S. Fradkin,Mark Ya. Palchik Pdf

Our prime concern in this book is to discuss some most interesting prosppcts that have occurred recently in conformally invariant quantum field theory in a D-diuwnsional space. One of the most promising trends is constructing an pxact solution for a cprtain class of models. This task seems to be quite feasible in the light of recent resllits. The situation here is to some extent similar to what was going on in the past ypars with the two-dimensional quantum field theory. Our investigation of conformal Ward identities in a D-dimensional space, carried out as far hack as the late H. J7Gs, showed that in the D-dimensional quantum field theory, irrespective of the type of interartion, there exists a special set of states of the field with the following property: if we rpqllire that one of these states should vanish, this determines an exact solution of 3. certain field model. These states are analogous to null-vectors which determine the minimal models in the two-dimensional field theory. On the other hand, the recent resparches supplied us with a number of indications on the existencp of an intinite-parampter algebra analogous to the Virasoro algebra in spaces of higher dimensions D 2: :~. It has also been shown that this algebra admits an operator rentral expansion. It seems to us that the above-mentioned models are field theoretical realizations of the representations of these new symmetries for D 2: ;3.

Conformal Field Theory

Philippe Francesco,Pierre Mathieu,David Senechal
Conformal Field Theory Book PDF

Author : Philippe Francesco,Pierre Mathieu,David Senechal
Publisher : Springer Science & Business Media
Page : 908 pages
File Size : 46,7 Mb
Release : 2012-12-06
Category : Science
ISBN : 9781461222569

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Conformal Field Theory by Philippe Francesco,Pierre Mathieu,David Senechal Pdf

Filling an important gap in the literature, this comprehensive text develops conformal field theory from first principles. The treatment is self-contained, pedagogical, and exhaustive, and includes a great deal of background material on quantum field theory, statistical mechanics, Lie algebras and affine Lie algebras. The many exercises, with a wide spectrum of difficulty and subjects, complement and in many cases extend the text. The text is thus not only an excellent tool for classroom teaching but also for individual study. Intended primarily for graduate students and researchers in theoretical high-energy physics, mathematical physics, condensed matter theory, statistical physics, the book will also be of interest in other areas of theoretical physics and mathematics. It will prepare the reader for original research in this very active field of theoretical and mathematical physics.

Symmetries and Symmetry Breaking in Field Theory

Parthasarathi Mitra
Symmetries and Symmetry Breaking in Field Theory Book PDF

Author : Parthasarathi Mitra
Publisher : CRC Press
Page : 115 pages
File Size : 51,8 Mb
Release : 2014-05-14
Category : Science
ISBN : 9781466581043

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Symmetries and Symmetry Breaking in Field Theory by Parthasarathi Mitra Pdf

Many courses on modern quantum field theory focus on the formulation and application of field theory, leaving topics related to symmetry underdeveloped. This leads to students often having an incomplete understanding of symmetries. Filling this gap, Symmetries and Symmetry Breaking in Field Theory sheds light on various aspects of symmetry in field theory. The book presents a broad selection of important topics, including constraint theory, generalized Pauli–Villars regularization, the measure approach to anomalies, zeta function regularization, and anomalous gauge theories. The author explains how some classical symmetries are broken by anomalies and how other symmetries of the theory are spontaneously broken. He discusses all of the ideas in as simple a way as possible.

Non-Perturbative Field Theory

Yitzhak Frishman,Jacob Sonnenschein
Non Perturbative Field Theory Book PDF

Author : Yitzhak Frishman,Jacob Sonnenschein
Publisher : Cambridge University Press
Page : 455 pages
File Size : 43,8 Mb
Release : 2010-04-08
Category : Science
ISBN : 9781139486484

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Non-Perturbative Field Theory by Yitzhak Frishman,Jacob Sonnenschein Pdf

Providing a new perspective on quantum field theory, this book is useful for graduate students and researchers within and outside the field. It describes non-perturbative methods, and explores two-dimensional and four-dimensional gauge dynamics using those methods. Applications are thoroughly described.

Quantum Field Theory Conformal Group Theory Conformal Field Theory

R. Mirman
Quantum Field Theory Conformal Group Theory Conformal Field Theory Book PDF

Author : R. Mirman
Publisher : iUniverse
Page : 313 pages
File Size : 51,7 Mb
Release : 2005-02
Category : Science
ISBN : 9780595336920

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Quantum Field Theory Conformal Group Theory Conformal Field Theory by R. Mirman Pdf

The conformal group is the invariance group of geometry (which is not understood), the largest one. Physical applications are implied, as discussed, including reasons for interactions. The group structure as well as those of related groups are analyzed. An inhomogeneous group is a subgroup of a homogeneous one because of nonlinearities of the realization. Conservation of baryons (protons can't decay) is explained and proven. Reasons for various realizations, so matrix elements, of the Lorentz group given. The clearly relevant mass level formula is compared with experimental values. Questions, implications and possibilities, including for differential equations, are raised.

Gauge Fields and Strings

Polyakov
Gauge Fields and Strings Book PDF

Author : Polyakov
Publisher : CRC Press
Page : 316 pages
File Size : 46,9 Mb
Release : 1987-09-14
Category : Mathematics
ISBN : 3718603934

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Gauge Fields and Strings by Polyakov Pdf

"Based on his own work, the author synthesizes the most promising approaches and ideals in field theory today. He presents such subjects as statistical mechanics, quantum field theory and their interrelation, continuous global symmetry, non-Abelian gauge fields, instantons and the quantam theory of loops, and quantum strings and random surfaces. This book is aimed at postgraduate students studying field theory and statistical mechanics, and for research workers in continuous global theory."--Provided by publisher.

Introduction to Gauge Field Theory Revised Edition

D. Bailin,Alexander Love
Introduction to Gauge Field Theory Revised Edition Book PDF

Author : D. Bailin,Alexander Love
Publisher : CRC Press
Page : 390 pages
File Size : 54,7 Mb
Release : 1993-01-01
Category : Science
ISBN : 075030281X

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Introduction to Gauge Field Theory Revised Edition by D. Bailin,Alexander Love Pdf

Introduction to Gauge Field Theory provides comprehensive coverage of modern relativistic quantum field theory, emphasizing the details of actual calculations rather than the phenomenology of the applications. Forming a foundation in the subject, the book assumes knowledge of relativistic quantum mechanics, but not of quantum field theory. The book is ideal for graduate students, advanced undergraduates, and researchers in the field of particle physics.

A Mathematical Introduction to Conformal Field Theory

Martin Schottenloher
A Mathematical Introduction to Conformal Field Theory Book PDF

Author : Martin Schottenloher
Publisher : Springer
Page : 249 pages
File Size : 43,7 Mb
Release : 2009-08-29
Category : Science
ISBN : 3540864318

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A Mathematical Introduction to Conformal Field Theory by Martin Schottenloher Pdf

The first part of this book gives a self-contained and mathematically rigorous exposition of classical conformal symmetry in n dimensions and its quantization in two dimensions. The second part surveys some more advanced topics of conformal field theory.

Gravitation and Gauge Symmetries

M Blagojevic
Gravitation and Gauge Symmetries Book PDF

Author : M Blagojevic
Publisher : CRC Press
Page : 522 pages
File Size : 49,7 Mb
Release : 2001-10-25
Category : Science
ISBN : 9781420034264

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Gravitation and Gauge Symmetries by M Blagojevic Pdf

In the course of the development of electromagnetic, weak and strong interactions, the concept of (internal) gauge invariance grew up and established itself as an unavoidable dynamical principle in particle physics. It is less known that the principle of equivalence, and the basic dynamical properties of the gravitational interaction can also be ex

Strings, Conformal Fields, and Topology

Michio Kaku
Strings Conformal Fields and Topology Book PDF

Author : Michio Kaku
Publisher : Springer Science & Business Media
Page : 544 pages
File Size : 55,5 Mb
Release : 2012-12-06
Category : Science
ISBN : 9781468403978

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Strings, Conformal Fields, and Topology by Michio Kaku Pdf

Following on the foundations laid in his earlier book "Introduction to Superstrings", Professor Kaku discusses such topics as the classification of conformal string theories, the non-polynomial closed string field theory, matrix models, and topological field theory. The presentation of the material is self-contained, and several chapters review material expounded in the earlier book. This book provides students with an understanding of the main areas of current progress in string theory, placing the reader at the forefront of current research.