W-symmetry

by Bouwknegt, P.

Type Book

Rate 0.0 /5

Details

Files

Reviews

Download

Title Statements

Full title :W-symmetry / P. Bouwknegt, K. Schoutens.

Summary

W-symmetry is an extension of conformal symmetry in two dimensions. Since its introduction in 1985, W-symmetry has become one of the central notions in the study of two-dimensional conformal field theory. The mathematical structures that underlie W-symmetry are so-called W-algebras, which are higher-spin extensions of the Virasoro algebra. This book contains a collection of papers on W-symmetry, covering the period from 1985 through 1993. Its main focus is the construction of W-algebras and their representation theory. A recurrent theme is the intimate connection between W-algebras and affine Lie algebras. Some of the applications, in particular W-gravity, are also covered. The significance of this reprint volume is that there are no textbooks entirely devoted to the subject.

Edition Statements

Publication Date:©1995.

Publication Statements

Publisher(s):World Scientific
Place of Publication:Singapore
Language:eng
Publication Date:©1995.

The Physical Object

Description:1 online resource (xxv, 875 pages)

Edition Identifiers

ISBN:9789812798244, 9812798242
oclc:ocn826658078
LC Classification:QC174.52.C66
Dewey Decimal:530.1/43

1. History and background. A family of hamiltonian structures related to non-linear integrable differential equations / I.M. Gelfand and L.A. Dickij. Lie algebras and equations of Korteweg-de Vries type / V. Drinfeld and V. Sokolov -- 2. Classical W-algebras and their connection to Toda field theories. Systematic approach to conformal systems with extended Virasoro symmetries / A. Bilal and J.-L. Gervais. Higher spin fields and the Gelfand-Dickey algebra / I. Bakas. Toda theory and W-algebra from a gauged WZNW point of view / J. Balog, L. Feher, L. O'Raifeartaigh, P. Forgacs and A. Wipf. Covariantly coupled chiral algebras / F.A. Bais, T. Tjin and P. van Driel. Super-Toda theories and W-algebras from superspace Wess-Zumino-Witten models / F. Delduc, E. Ragoucy and P. Sorba -- 3. Quantum W-algebras. Infinite additional symmetries in two dimensional conformal quantum field theory / A.B. Zamoldchikov. Extended conformal algebras / P. Bouwknegt.

Subjects

Álgebras de lie (aplicações) Champs, Théorie quantique des Conformal invariants Física matemàtica Invarianten Invariants conformes Konforme Feldtheorie Kwantumveldentheorie Mathematical physics Mathematische fysica Mecânica quântica Physique mathématique Quantum field theory SCIENCE -- Waves & Wave Mechanics Teoria quântica de campo théorie quantique des champs W-Algebra