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

Takeo Kojima

arxiv: 1201.4222 · v2 · pith:MH7E3YALnew · submitted 2012-01-20 · 🌊 nlin.SI · math-ph· math.MP· math.QA

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

Takeo Kojima This is my paper

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keywords realizationsuperalgebraswakimotoarbitrarybosonizationscallgiveintroduce

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

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