# A Mathematical Introduction to Conformal Field Theory

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BY **Martin Schottenloher**

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**A Mathematical Introduction to Conformal Field Theory** Martin Schottenloher is available to download

A Mathematical Introduction to Conformal Field TheoryMartin Schottenloher | |

Type: | eBook |

Released: | 2008 |

Publisher: | Springer |

Page Count: | 249 |

Format: | |

Language: | English |

ISBN-10: | 3540686258 |

ISBN-13: | 9783540686255 |

*A Mathematical Introduction to ...*Textbook In particular, the conformal groups are determined and the appearance 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. The second part presents several different approaches to conformal field theory and surveys more advanced topics, 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. The substantially revised and enlarged second edition makes in particular the second part of the book more self-contained and tutorial, with many more examples given. Furthermore, two new chapters on Wightman's axioms for quantum field theory and vertex algebras broaden the survey of advanced topics. An outlook making the connection with recent developments has also been added.

## Related Books on A Mathematical Introduction to Conformal Field Theory

- Affine Lie Algebras and Quantum Groups: An Introduction, with Applications in Conformal Field Theory (Cambridge Monographs on Mathematical Physics)
- Introduction to Conformal Field Theory: With Application to String Theory
- Non-Perturbative Field Theory: From Two Dimensional Conformal Field Theory to QCD in Four Dimensions

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