The sl(2)+sl(2)/sl(2) Coset Theory as a Hamiltonian Reduction of D(2|1;α)

Abstract

We show that the coset sl(2)+sl(2)/sl(2) is a quantum Hamiltonian reduction of the exceptional affine Lie superalgebra D(2|1;α) and that the corresponding W algebra is the commutant of the UqD(2|1;α) quantum group.

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