The Affine (sl(2) + sl(2)) / sl(2) coset theory as a Hamiltonian reduction of the exceptional affine Lie superalgebra D(2|1: alpha)
Feb, 2001Citations per year
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;\alpha) and that the corresponding W algebra is the commutant of the U_{q}D(2|1;\alpha) quantum group.Note:
- amsart, 38pp. V2: minor corrections Subj-class: High Energy Physics - Theory; Quantum Algebra; Mathematical Physics
- W algebras
- Hamiltonian reduction
- Screening operators
- Quantum groups
- Vertex-operator algebras
- algebra: Lie
- algebra: affine
- supersymmetry: algebra
- algebra: W(N)
- coset space
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