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Quantum Non-linear Sigma-Models

From Quantum Field Theory to Supersymmetry, Conformal Field Theory, Black Holes and Strings

  • Book
  • © 2000

Overview

Authors:
  1. Sergei V. Ketov

    1. Institut für Theoretische Physik, Universität Hannover, Hannover, Germany

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  • The first comprehensive presentation of the quantum non-linear sigma-models
  • Includes supplementary material: sn.pub/extras

Part of the book series: Theoretical and Mathematical Physics (TMP)

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Table of contents (9 chapters)

  1. Front Matter

    Pages I-XII
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  2. Introduction

    • Sergei V. Ketov
    Pages 1-4

  3. Classical Structure and Renormalization

    • Sergei V. Ketov
    Pages 5-56

  4. Supersymmetric NLSM

    • Sergei V. Ketov
    Pages 57-90

  5. NLSM and Extended Superspace

    • Sergei V. Ketov
    Pages 91-164

  6. NLSM and 2d Conformal Field Theory

    • Sergei V. Ketov
    Pages 165-201

  7. NLSM and Strings

    • Sergei V. Ketov
    Pages 203-244

  8. Chiral (1,0) NLSM and Heterotic Strings

    • Sergei V. Ketov
    Pages 245-293

  9. LEEA in 4d, N = 2 Gauge Field Theories

    • Sergei V. Ketov
    Pages 295-345

  10. Generalizations of NLSM

    • Sergei V. Ketov
    Pages 347-398

  11. Back Matter

    Pages 399-420
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Keywords

About this book

The book is considered a systematic presentation of the modern quantum field theory of non-linear sigma-models. The content is based on original papers. Geometric properties and renormalization of a generic non-linear sigma-model are considered in detail, and illustrated by explicit multi-loop calculations in perturbation theory. Some non-perturbative results are derived for the conformally invariant non-linear sigma-models. Supersymmetric extensions are given for most constructions, with emphasis on their relation to complex geometry. Applications of non-linear sigma-models in conformal theory, gauge theory, string theory, and general relativity are given. The book addresses graduate students and researchers in physics and mathematics.

Reviews

"This is a very useful book describing many aspects and applications of nonlinear sigma-models. [...] One of the useful features of the book is that several chapters and sections can essentially be read independently, making this a practical reference book. However, the introductory chapters should also make it accessible to anyone with a basic knowledge of quantum field theory and supersymmetry." (Mathematical Reviews 2002b)

Authors and Affiliations

  • Institut für Theoretische Physik, Universität Hannover, Hannover, Germany

    Sergei V. Ketov

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