Wess-Zumino-Witten and fermion models in noncommutative space
High Energy Physics - Theory
2009-10-31 v1
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.
Cite
@article{arxiv.hep-th/0008118,
title = {Wess-Zumino-Witten and fermion models in noncommutative space},
author = {E. F. Moreno and F. A. Schaposnik},
journal= {arXiv preprint arXiv:hep-th/0008118},
year = {2009}
}
Comments
27 pages, 1 figure. LaTex file