The $q$-Wakimoto Realization of the Superalgebras $U_q(\hat{sl}(N|1))$ and $U_{q,p}(\hat{sl}(N|1))$

Details The $q$-Wakimoto Realization of the Superalgebras $U_q(\hat{sl}(N|1))$ and $U_{q,p}(\hat{sl}(N|1))$ The $q$-Wakimoto Realization of the Superalgebras $U_q(\hat{sl}(N|1))$ and $U_{q,p}(\hat{sl}(N|1))$

2012-01-20

arxiv.org/abs/1201.4222v2

Nonlinear Sciences

Exactly Solvable and Integrable Systems

10 pages, LaTEX, Proceedings of the 9-th International Workshop "Lie Theory and Its Application in Physics (LT-9), 20-26 June

Scientific paper

We give bosonizations of the superalgebras $U_q(\hat{sl}(N|1))$ and
$U_{q,p}(\hat{sl}(N|1))$ for an arbitrary level $k \in {\bf C}$. We introduce
the submodule by the $\xi$-$\eta$ system, that we call the $q$-Wakimoto
realization.

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