Structure and Representations of theW∞Algebra
- 1 January 1990
- journal article
- Published by Oxford University Press (OUP) in Progress of Theoretical Physics Supplement
- Vol. 102, 15-37
- https://doi.org/10.1143/ptps.102.15
Abstract
We present an up to date review of the structure and representations of the W ∞ algebra. The central charge is constrained by unitarity to take the values c= 2p , with p =1, 2, 3, ⋯. We also extend our discussion to W ∞p, which is a U (p )-matrix generalization of W ∞, using the symmetries of the Grassmannian coset models SU (p+ 1)N/SU (p )N⊗ U (1) in the large N limit.Keywords
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