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

Schottenloher, Martin

ISBN 10: 3540617531 / ISBN 13: 9783540617532

Editore: Springer, Munchen, 1977

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142 pp. Tightly bound. Corners not bumped. Text is free of markings. Published without dust jacket. Inscription on the front end paper.

Codice articolo 031504

Dati bibliografici

• Titolo: Mathematical Introduction to Conformal Field Theory: Based on a Series of Lectures Given at the Mathematisches Institut Der Universitat Hamburg
• Editore: Springer, Munchen
• Data di pubblicazione: 1977
• Lingua: Inglese
• ISBN 10: 3540617531
• ISBN 13: 9783540617532
• Rilegatura: Hardcover
• Condizione: Very Good
• Condizione della sovraccoperta: Published Without Dust Jacket
• Cataloghi dei venditori:
  • Scholarly IV

Descrizione articolo

Riassunto

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.

Dalla quarta di copertina

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.