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Conformal Field Theory

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

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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.

Introduction to Conformal Field Theory

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

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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.

A Mathematical Introduction to Conformal Field Theory

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

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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.

Conformal Field Theory and Topology

2002 Mathematics
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Release : 2002
Genre : Mathematics
Kind : eBook
Book Rating : 305/5 ( reviews)

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Book Synopsis Conformal Field Theory and Topology by : Toshitake Kohno

Download or read book Conformal Field Theory and Topology written by Toshitake Kohno. This book was released on 2002. Available in PDF, EPUB and Kindle. Book excerpt: Geometry and physics have been developed with a strong influence on each other. One of the most remarkable interactions between geometry and physics since 1980 has been an application of quantum field theory to topology and differential geometry. This book focuses on a relationship between two-dimensional quantum field theory and three-dimensional topology which has been studied intensively since the discovery of the Jones polynomial in the middle of the 1980s and Witten's invariantfor 3-manifolds derived from Chern-Simons gauge theory. An essential difficulty in quantum field theory comes from infinite-dimensional freedom of a system. Techniques dealing with such infinite-dimensional objects developed in the framework of quantum field theory have been influential in geometryas well. This book gives an accessible treatment for a rigorous construction of topological invariants originally defined as partition functions of fields on manifolds. The book is organized as follows: The Introduction starts from classical mechanics and explains basic background materials in quantum field theory and geometry. Chapter 1 presents conformal field theory based on the geometry of loop groups. Chapter 2 deals with the holonomy of conformal field theory. Chapter 3 treatsChern-Simons perturbation theory. The final chapter discusses topological invariants for 3-manifolds derived from Chern-Simons perturbation theory.

EPFL Lectures on Conformal Field Theory in D ≥ 3 Dimensions

2016-09-30 Science
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Release : 2016-09-30
Genre : Science
Kind : eBook
Book Rating : 260/5 ( reviews)

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Book Synopsis EPFL Lectures on Conformal Field Theory in D ≥ 3 Dimensions by : Slava Rychkov

Download or read book EPFL Lectures on Conformal Field Theory in D ≥ 3 Dimensions written by Slava Rychkov. This book was released on 2016-09-30. Available in PDF, EPUB and Kindle. Book excerpt: This primer develops Conformal Field Theory (CFT) from scratch, whereby CFT is viewed as any conformally-invariant theory that describes a fixed point of a renormalization group flow in quantum field theory. The book is divided into four lectures: Lecture 1 addresses the physical foundations of conformal invariance, while Lecture 2 examines the constraints imposed by conformal symmetry on the correlation functions of local operators, presented using the so-called projective null cone – a procedure also known as the embedding formalism. In turn, Lecture 3 focuses on the radial quantization and the operator product expansion, while Lecture 4 offers a very brief introduction to the conformal bootstrap. Derived from course-based notes, these lectures are intended as a first point of entry to this topic for Master and PhD students alike.

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