Wess-Zumino-Witten and fermion models in noncommutative space

Details Wess-Zumino-Witten and fermion models in noncommutative space Wess-Zumino-Witten and fermion models in noncommutative space

2000-08-14

arxiv.org/abs/hep-th/0008118v1

Nucl.Phys. B596 (2001) 439-458

Physics

High Energy Physics

High Energy Physics - Theory

27 pages, 1 figure. LaTex file

Scientific paper

10.1016/S0550-3213(00)00702-1

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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