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

Autor: Aoyama, Shogo, Ishii, Katsuyuki
Rok vydání: 2013
Předmět:
Zdroj: Nucl. Phys. B876(2013)715-729
Druh dokumentu: Working Paper
DOI: 10.1016/j.nuclphysb.2013.08.019
Popis: 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.
Comment: 15 pages, v2: improvement in sec. 6, typos corrected, published
Databáze: arXiv