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W{1+ \infty} algebra, W_3 algebra, and Friedan-Martinec-Shenker bosonization

Authors
  • Wang, Weiqiang
Type
Published Article
Publication Date
Aug 07, 1997
Submission Date
Aug 07, 1997
Identifiers
DOI: 10.1007/s002200050381
Source
arXiv
License
Unknown
External links

Abstract

We show that the vertex algebra W{1+ \infty} with central charge -1 is isomorphic to a tensor product of the simple W_3 algebra with central charge -2 and a Heisenberg vertex algebra generated by a free bosonic field. We construct a family of irreducible modules of the W_3 algebra with central charge -2 in terms of free fields and calculate the full character formulas of these modules with respect to the full Cartan subalgebra of the W_3 algebra.

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