CURRENT ALGEBRA OF WZNW MODELS AT AND AWAY FROM CRITICALITY

30 August 1992

journal article
Published by World Scientific Pub Co Pte Ltd in Modern Physics Letters A

Vol. 7 (26) , 2437-2447
https://doi.org/10.1142/s0217732392003888

Abstract

We derive the current algebra of principal chiral models with a Wess-Zumino term. At the critical coupling where the model becomes conformally invariant (Wess-Zumino-Novikov-Witten theory), this algebra reduces to two commuting Kac-Moody algebras, while in the limit where the coupling constant is taken to zero (ordinary chiral model), we recover the current algebra of that model. In this way, the latter is explicitly realized as a deformation of the former, with the coupling constant as the deformation parameter.

Keywords

CURRENT ALGEBRA
CHIRAL
COMMUTING
COUPLING WHERE THE MODEL
WZNW MODELS
WESS ZUMINO

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Version 1, 1992-03-28, ArXiv

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