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

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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amsart, 38pp. V2: minor corrections

Scientific paper

10.1016/S0550-3213(01)00307-8

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;\alpha) and that
the corresponding W algebra is the commutant of the U_{q}D(2|1;\alpha) quantum
group.

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