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arxiv: 1103.5527 · v4 · pith:QNM7YSUKnew · submitted 2011-03-29 · 🌊 nlin.SI · hep-th· math-ph· math.MP· math.QA

Elliptic Deformed Superalgebra u_(q,p)(hat{{sl}}(M|N))

classification 🌊 nlin.SI hep-thmath-phmath.MPmath.QA
keywords superalgebraellipticarbitrarybosonizationcommutecurrentsdeformationdeformed
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We introduce the elliptic superalgebra $U_{q,p}(\hat{sl}(M|N))$ as one parameter deformation of the quantum superalgebra $U_q(\hat{sl}(M|N))$. For an arbitrary level $k \neq 1$ we give the bosonization of the elliptic superalgebra $U_{q,p}(\hat{sl}(1|2))$ and the screening currents that commute with $U_{q,p}(\hat{sl}(1|2))$ modulo total difference.

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