The sℓ̂(2)⊕ sℓ̂(2)/ sℓ̂(2) coset theory as a Hamiltonian reduction of D̂(2|1;α)
Abstract
We show that the coset sℓ̂(2) k 1⊕ sℓ̂(2) k 2/ sℓ̂(2) k 1+k 2 is a quantum Hamiltonian reduction of the exceptional affine Lie superalgebra D̂(2|1;α) and that the corresponding W algebra is the commutant of the UqD(2|1;α) quantum group.
- Publication:
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Nuclear Physics B
- Pub Date:
- September 2001
- DOI:
- 10.1016/S0550-3213(01)00307-8
- arXiv:
- arXiv:hep-th/0102078
- Bibcode:
- 2001NuPhB.610..489F
- Keywords:
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- High Energy Physics - Theory;
- Mathematical Physics;
- Mathematics - Quantum Algebra
- E-Print:
- amsart, 38pp. V2: minor corrections