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arXiv · hep-th/0008118

Wess-Zumino-Witten and fermion models in noncommutative space

E. F. Moreno·F. A. Schaposnik
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Abstract

We analyze the connection between Wess-Zumino-Witten and free fermion models in two-dimensional noncommutative space. Starting from the computation of the determinant of the Dirac operator in a gauge field background, we derive the corresponding bosonization recipe studying, as an example, bosonization of the U(N) Thirring model. Concerning the properties of the noncommutative Wess-Zumino-Witten model, we construct an orbit-preserving transformation that maps the standard commutative WZW action into the noncommutative one.

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E. F. Moreno, F. A. Schaposnik. 2000-08-14. Wess-Zumino-Witten and fermion models in noncommutative space. https://doi.org/10.1016/s0550-3213(00)00702-1

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