A Mathematical Introduction to Conformal Field Theory

Released on by Martin Schottenloher
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  • A Mathematical Introduction to Conformal Field Theory Book Detail

  • Author : Martin Schottenloher
  • Release Date : 2008-09-15
  • Publisher : Springer Science & Business Media
  • Genre : Science
  • Pages : 153
  • ISBN 13 : 3540706909
  • File Size : 26,26 MB
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A Mathematical Introduction to Conformal Field Theory by Martin Schottenloher PDF Summary

Book Description: 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.

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Introduction to Conformal Field Theory

Introduction to Conformal Field Theory

File Size : 27,27 MB
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Based on class-tested notes, this text offers an introduction to Conformal Field Theory with a special emphasis on computational techniques of relevance for Str