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arXiv · 1306.0718

Constrained WZWN Models on G/{S x U(1)^n} and Exchange Algebra of G-Primaries

Shogo Aoyama·Katsuyuki Ishii
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Abstract

Consistently constrained WZWN models on G/{S x 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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Shogo Aoyama, Katsuyuki Ishii. 2014-05-23. Constrained WZWN Models on G/{S x U(1)^n} and Exchange Algebra of G-Primaries. https://doi.org/10.1016/j.nuclphysb.2013.08.019

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