A Mathematical Introduction to Conformal Field Theory: Based on a Series of Lectures Given at the Mathematisches Institut Der Universitat Hamburg - Couverture rigide

Schottenloher, M.

Couverture rigide

ISBN 10 : 3540617531 ISBN 13 : 9783540617532

Editeur : Springer-Verlag Berlin and Heidelberg GmbH & Co. K, 1997

Synopsis

This work is divided into two parts, the first provides an 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 two 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.

A propos du livre

Présentation de l'éditeur

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. 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.

Détails de l'édition

• Éditeur: Springer-Verlag Berlin and Heidelberg GmbH & Co. K
• Date d'édition: 1997
• Langue: anglais
• ISBN 10: 3540617531
• ISBN 13: 9783540617532
• Reliure: Relié
• Nombre de pages: 142
• Coordonnées du fabricant: non disponible
• Personne responsable: non disponible