A mathematical introduction to conformal field theory
based on a series of lectures given at the Mathematisches Institut der Universität Hamburg
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Word Count
35,500 words, Guess
Page Count
142 pages
Identifiers
- Open LibraryOL22300055M
- ISBN-103540617531
- OCLC Control Number36438863
- OCLC Control Numbermathematicalintr0000scho
- Library of Congress Control Number97007263
and 2 more
- Goodreads4071020
- LibraryThing688570
Classifications
- DDC530.14/3
- LCCQC174.52.C66
Description
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 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. 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 on a Riemann surface. This book is an important text for researchers and graduate students.
Subjects
Topics
Series Statement
- Lecture notes in physics -- m43
Other Editions
- A mathematical introduction to conformal field theory: based on a series of lectures given at the Mathematisches Institut der Universität Hamburg
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