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

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

2011-03-29

arxiv.org/abs/1103.5527v4

Nonlinear Sciences

Exactly Solvable and Integrable Systems

LaTEX, 25 pages

Scientific paper

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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