Ultraviolet Property of Noncommutative Wess-Zumino-Witten Model

Abstract

We construct noncommutative extension of the Wess-Zumino-Witten (WZW) model and study its ultraviolet property. The β-function of the U(N) noncommutative WZW model resembles that of the ordinary WZW model. The U(1) noncommutative model has also a nontrivial fixed point.

7 pages, 1 figure

References in corpus (1)

• String Theory and Noncommutative Geometry

Cited by in corpus (13)

• Chern-Simons action in noncommutative space
• Bosonization in the Noncommutative Plane
• The U(N) chiral model and exact multi-solitons
• The BRS invariance of noncommutative U(N) Yang-Mills theory at the one-loop level
• Bosonized noncommutative bi-fundamental fermion and S-duality
• Computing noncommutative Chern-Simons theory radiative corrections on the back of an envelope
• On non commutative sinh-Gordon Equation
• Ultraviolet properties of noncommutative non-linear sigma-models in two dimensions
• Non-commutative Duality: High Spin Fields and $C{P}^1$ Model with Hopf Term
• Lax pair and Darboux transformation of noncommutative U(N) principal chiral model
• Conserved Quantities in Noncommutative Principal Chiral Model with Wess-Zumino Term
• Axial Gauged Noncommutative U(2)/U(1) Wess-Zumino-Witten Model
• Noncommutative Wess-Zumino-Witten actions and their Seiberg-Witten invariance