WW-Symmetry

1994
904 pages
Published in:
  • Advanced Series in Mathematical Physics, 22
Published in:
  • Adv.Ser.Math.Phys. 22 (1995)
ISBN:
  • 9789810217624 (Print),
  • 9789814501996 (eBook)
  • Published: 1994 in Singapore, Singapore by World Scientific

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Abstract:
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.
  • book
  • algebra: W(N)
  • field theory: Toda
  • quantum algebra
  • coset space
  • gravitation
  • string model
  • field theory: conformal
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