Bosonization and vertex operator of supersymmetry $u_q(\hat{sl}(n|1))$ for level $k$

Takeo Kojima

doi:10.1088/1742-6596/410/1/012062

paper

Bosonization and vertex operator of supersymmetry $u_{q} (s l^(n ∣1))$ for level $k$

arXiv:1211.2909 · doi:10.1088/1742-6596/410/1/012062

Abstract

We construct a bosonization of the quantum superalgebra $U_{q} (s l^(N ∣1))$ for an arbitrary level $k$ . We construct the screening that commutes with the quantum superalgebra for an arbitrary level $k \neq = - N + 1$ . We propose a bosonization of the vertex operator that gives the intertwiner among the Wakimoto realization and the typical representation.

LaTEX, 5pages, Proceedings of International Conference on Mathematical Modeling in Physical Sciences, Budapest, Hungary, September 3-7, 2012

Bosonization and vertex operator of supersymmetry uq​(sl^(n∣1)) for level k

Abstract

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Bosonization and vertex operator of supersymmetry $u_{q} (s l^(n ∣1))$ for level $k$