Current Algebra of WZNW Models at and away from Criticality

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.

10 pages

Cited by in corpus (6)

• Currents, Charges, and Canonical Structure of Pseudodual Chiral Models
• Integrability of the Wess_Zumino-Witten model as a non-ultralocal theory
• The Algebra of Non-Local Charges in Non-Linear Sigma Models
• Algebra of Non-Local Charges in Supersymmetric Non-Linear Sigma Models
• Algebra of non-local charges in the O(N) WZNW model at and beyond criticality
• Current Algebra of Super WZNW Models