Share

Conformal Field Theory with Gauge Symmetry

2008 Mathematics
Download Conformal Field Theory with Gauge Symmetry PDF Online Free

Author :
Release : 2008
Genre : Mathematics
Kind : eBook
Book Rating : 886/5 ( reviews)

GET EBOOK


Book Synopsis Conformal Field Theory with Gauge Symmetry by : Kenji Ueno

Download or read book Conformal Field Theory with Gauge Symmetry written by Kenji Ueno. This book was released on 2008. Available in PDF, EPUB and Kindle. Book excerpt: 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

1995-02-28 Science
Download Conformal Field Theory PDF Online Free

Author :
Release : 1995-02-28
Genre : Science
Kind : eBook
Book Rating : 529/5 ( reviews)

GET EBOOK


Book Synopsis Conformal Field Theory by : Sergei V Ketov

Download or read book Conformal Field Theory written by Sergei V Ketov. This book was released on 1995-02-28. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Introduction to Conformal Field Theory

2009-07-11 Science
Download Introduction to Conformal Field Theory PDF Online Free

Author :
Release : 2009-07-11
Genre : Science
Kind : eBook
Book Rating : 504/5 ( reviews)

GET EBOOK


Book Synopsis Introduction to Conformal Field Theory by : Ralph Blumenhagen

Download or read book Introduction to Conformal Field Theory written by Ralph Blumenhagen. This book was released on 2009-07-11. Available in PDF, EPUB and Kindle. Book excerpt: Based on class-tested notes, this text offers an introduction to Conformal Field Theory with a special emphasis on computational techniques of relevance for String Theory. It introduces Conformal Field Theory at a basic level, Kac-Moody algebras, one-loop partition functions, Superconformal Field Theories, Gepner Models and Boundary Conformal Field Theory. Eventually, the concept of orientifold constructions is explained in detail for the example of the bosonic string. In providing many detailed CFT calculations, this book is ideal for students and scientists intending to become acquainted with CFT techniques relevant for string theory but also for students and non-specialists from related fields.

Conformal Field Theory

2012-12-06 Science
Download Conformal Field Theory PDF Online Free

Author :
Release : 2012-12-06
Genre : Science
Kind : eBook
Book Rating : 567/5 ( reviews)

GET EBOOK


Book Synopsis Conformal Field Theory by : Philippe Francesco

Download or read book Conformal Field Theory written by Philippe Francesco. This book was released on 2012-12-06. Available in PDF, EPUB and Kindle. Book excerpt: 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.

A Mathematical Introduction to Conformal Field Theory

2008-09-15 Science
Download A Mathematical Introduction to Conformal Field Theory PDF Online Free

Author :
Release : 2008-09-15
Genre : Science
Kind : eBook
Book Rating : 909/5 ( reviews)

GET EBOOK


Book Synopsis A Mathematical Introduction to Conformal Field Theory by : Martin Schottenloher

Download or read book A Mathematical Introduction to Conformal Field Theory written by Martin Schottenloher. This book was released on 2008-09-15. Available in PDF, EPUB and Kindle. Book excerpt: 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.

You may also like...