Gauged Noncommutative Wess-Zumino-Witten Models

Abstract

We investigate the Kac-Moody algebra of noncommutative Wess-Zumino-Witten model and find its structure to be the same as the commutative case. Various kinds of gauged noncommutative WZW models are constructed. In particular, noncommutative $U(2)/U(1)$ WZW model is studied and by integrating out the gauge fields, we obtain a noncommutative non-linear $\sigma$-model.

10 pages, LaTeX file, references added, to appear in Nucl. Phys. B

References in corpus (4)

• String Theory and Noncommutative Geometry
• Wess-Zumino-Witten and fermion models in noncommutative space
• The Wess-Zumino-Witten term in non-commutative two-dimensional fermion models
• From Noncommutative Bosonization to S-Duality

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• Ultraviolet properties of noncommutative non-linear sigma-models in two dimensions
• Abelian Toda field theories on the noncommutative plane
• Constraints, gauge symmetries, and noncommutative gravity in two dimensions
• Noncommutative Sugawara Construction
• Axial Gauged Noncommutative U(2)/U(1) Wess-Zumino-Witten Model
• Noncommutative Wess-Zumino-Witten actions and their Seiberg-Witten invariance