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

Abstract

We introduce the elliptic superalgebra $U_{q,p}(\widehat{sl}(M|N))$ as one parameter deformation of the quantum superalgebra $U_q(\widehat{sl}(M|N))$. For an arbitrary level $k\ne 1$ we give the bosonization of the elliptic superalgebra $U_{q,p}(\widehat{sl}(1|2))$ and the screening currents that commute with $U_{q,p}(\widehat{sl}(1|2))$ modulo total difference.

LaTEX, 25 pages

References in corpus (1)

• Elliptic Quantum Group U_{q,p}(\hat{sl}_2) and Vertex Operators

Cited by in corpus (3)

• Free Field Realization of Quantum Affine Superalgebra $U_q(\widehat{sl}(N|1))$
• Commutation relations of vertex operators for $U_q(\widehat{sl}(M|N))$
• Bosonization and vertex operator of supersymmetry $u_q(\widehat{sl}(n|1))$ for level $k$