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Friday, May 15, 2020 | History

6 edition of A mathematical introduction to conformal field theory found in the catalog.

A mathematical introduction to conformal field theory

by Martin Schottenloher

  • 133 Want to read
  • 40 Currently reading

Published by Springer in Berlin, New York .
Written in English

    Subjects:
  • Conformal invariants.,
  • Quantum field theory.,
  • Mathematical physics.

  • Edition Notes

    StatementMartin Schottenloher.
    SeriesLecture notes in physics., m43
    ContributionsUniversität Hamburg. Mathematisches Seminar.
    Classifications
    LC ClassificationsQC174.52.C66 S36 1997
    The Physical Object
    Paginationviii, 142 p. :
    Number of Pages142
    ID Numbers
    Open LibraryOL661805M
    ISBN 103540617531
    LC Control Number97007263

    A conformal field theory (CFT) is a quantum field theory that is invariant under conformal two dimensions, there is an infinite-dimensional algebra of local conformal transformations, and conformal field theories can sometimes be exactly solved or classified.. Conformal field theory has important applications to condensed matter physics, statistical mechanics, quantum. 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.

    The aim of this book is to provide the reader with an introduction to conformal field theory and its applications to topology. The author starts with a description of geometric aspects of conformal field theory based on loop groups. By means of the holonomy of conformal field theory he defines topological invariants for knots and 3-manifolds.   The course is based on a mixture of Ginsparg's "Applied Conformal Field Theory", hep-th/ and Schottenloher's "A mathematical introduction to conformal field theory".

    Not Available adshelp[at] The ADS is operated by the Smithsonian Astrophysical Observatory under NASA Cooperative Agreement NNX16AC86ACited by:   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.


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A mathematical introduction to conformal field theory by Martin Schottenloher Download PDF EPUB FB2

The second part surveys some 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 Cited by: The second part surveys some 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 Brand: Springer-Verlag Berlin Heidelberg.

A Mathematical Introduction to Conformal Field Theory Based on a Series of Lectures given at the Mathematisches Institut der Universität Hamburg.

Authors: Schottenloher, MartinBrand: Springer-Verlag Berlin Heidelberg. From the Back Cover. 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, 3/5(1).

As the missing counterpart of the well-known generalized Wick theorem for interacting fields in two dimensional conformal field theory, we present a new formula for the operator product expansion. [Honda] Ko HONDA, Lecture notes for MATH Topological Quantum Field Theory (CH 1- CH 9) We mainly follow M.

Schottenloher’s book: A Mathematical Introduction to Conformal Field Theory (2nd ed.) Topics to be covered for Part-I are as follows (tentative):File Size: KB. Title: An Introduction to Conformal Field Theory.

Authors: Matthias R Gaberdiel. Download PDF Abstract: A comprehensive introduction to two-dimensional conformal field theory is given. Comments: 69 pages, LaTeX; references added: Subjects: High Energy Physics - Theory (hep-th) Journal reference:Conformal Field Theory 5. Finally, we should mention that a number of treatments of conformal field theory.

are by now available, in particular the review articles of Ginsparg [36] and Gawedzki [37], and the book by Di Francesco, Mathieu and S´en´echal [38].Cited by: A Mathematical Introduction to Conformal Field Theory M.

Schottenloher (auth.) The first part of this book gives a detailed, self-contained and mathematically rigorous exposition of classical conformal symmetry in n dimensions and its quantization in two dimensions.

A Mathematical Introduction to Conformal Field Theory. The first part of this book gives a detailed, self-contained and mathematically rigorous exposition of classical conformal symmetry in n dimensions and its quantization in two dimensions.

About this book. Introduction. The first part of this book gives a detailed, self-contained and mathematically rigorous exposition of classical conformal symmetry in n dimensions and its quantization in two dimensions.

A Mathematical Introduction to Conformal Field Theory Martin Schottenloher In this chapter some basic results on Lie groups and Lie algebras are assumed to be known, as presented, for instance, in Author: Martin Schottenloher.

The second part surveys some 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 /5(3).

Downloading these free of charge A Mathematical Introduction to Conformal Field Theory ebooks might make book publishers sad over their lost earnings but they won't send an armada of lawyers following you.

eBook ID: A -fbc62eeac | Author: Friedrich Waismann A Mathematical Introduction To Conformal Field Theory PDF eBook 1. An Introduction to Conformal Field Theory Matthias R Gaberdielz Department of Applied Mathematics and Theoretical Physics, Silver Street, Cambridge, CB3 9EW, UK and Fitzwilliam College, Cambridge, CB3 0DG, UK Abstract.

A comprehensive introduction to two-dimensional conformal eld theory is given. PACS numbers: Hf Submitted to: Rep. Prog. Introduction to Conformal Field Theory Antonin Rovai Contents Foreword 2 Introduction 3 1.

Symmetries and Conservation laws 3 Definitions 4 Noether’s theorem 6 The energy-momentum tensor 8 Consequences for the quantum theory 10 2. Conformal invariance in d dimensions 11 General considerations and algebra 11Author: Antonin Rovai.

I would recommend the book Introduction to Conformal Field theory by Blumenhagen and Plauschinn. It is quite sort and can serve as a perfect introduction to CFT. It covers the basics of CFT in the first 3 chapters and then in the remaining 3 it goes on to introduce the CFT concepts that will appear most frequently in String theory.

A mathematical introduction to conformal field theory. [Martin Schottenloher] -- "The first part of this book gives a detailed, self-contained and mathematically rigorous exposition of classical conformal symmetry in n dimensions and its quantization in two dimensions.

A mathematical introduction to conformal field theory. [Martin Schottenloher] -- The first part of this book gives a detailed, self-contained and mathematically rigorous exposition of classical conformal symmetry in n dimensions and its quantization in two dimensions.

Description 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/5(8).

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 treats Chern-Simons perturbation.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.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 /5(2).