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

AM Semikhatov; BL Feigin

arxiv: hep-th/0102078 · v2 · pith:LZ5NFERBnew · submitted 2001-02-14 · ✦ hep-th · math-ph· math.MP· math.QA

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

BL Feigin , AM Semikhatov This is my paper

classification ✦ hep-th math-phmath.MPmath.QA

keywords alphacosethamiltonianquantumreductionaffinealgebracommutant

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

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