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Constrained WZWN models on [formula omitted]and exchange algebra ofG-primaries

Authors
Journal
Nuclear Physics B
0550-3213
Publisher
Elsevier
Publication Date
Volume
876
Issue
2
Identifiers
DOI: 10.1016/j.nuclphysb.2013.08.019
Keywords
  • Physical Mathematics
Disciplines
  • Mathematics

Abstract

Abstract Consistently constrained WZWN models on G/{S⊗U(1)n} is given by constraining currents of the WZWN models with G. Poisson brackets are set up on the light-like plane. Using them we show the Virasoro algebra for the energy–momentum tensor of constrained WZWN models. We find a G-primary which satisfies a classical exchange algebra in an arbitrary representation of G. The G-primary and the constrained currents are also shown to obey the conformal transformation with respect to the energy–momentum tensor. It is checked that conformal weight of the constrained currents is 0. This is necessary for the consistency for our formulation of constrained WZWN models.

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