Wess-Zumino-Witten and fermion models in noncommutative space

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, bosonizat...

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Detalles Bibliográficos
Autores principales: Moreno, Enrique Francisco, Schaposnik, Fidel A.
Formato: Articulo
Lenguaje:Inglés
Publicado: 2001
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Acceso en línea:http://sedici.unlp.edu.ar/handle/10915/129618
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Sumario: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.