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 U_{q}D(2|1;α) quantum group.

amsart, 38pp. V2: minor corrections

Cited by in corpus (18)

• $W_n^{(2)}$ algebras
• On W algebras commuting with a set of screenings
• Integrable structure of Quantum Field Theory: Classical flat connections versus quantum stationary states
• Logarithmic ^sl(2) CFT models from Nichols algebras. 1
• On spectrum of ILW hierarchy in conformal field theory II: coset CFT's
• Parafermionic polynomials, Selberg integrals and three-point correlation function in parafermionic Liouville field theory
• Factorizable ribbon quantum groups in logarithmic conformal field theories
• Integrable boundary interaction in 3D target space: the "pillow-brane" model
• On the Yang-Baxter Poisson algebra in non-ultralocal integrable systems
• Spectrum of the reflection operators in different integrable structures
• $N=4$ superconformal algebras and diagonal cosets
• Toward logarithmic extensions of ^sl(2)_k conformal field models
• Towards trigonometric deformation of ${\widehat{\mathfrak{sl}}}_2$ coset VOA
• A Realization of N=1 $\mathcal{S}\mathcal{W}(3/2,2)$ Algebras with Wolf Spaces
• From Fuchsian differential equations to integrable QFT
• FZZ-triality and large $\mathcal{N}=4$ super Liouville theory
• Highest-weight vectors and three-point functions in GKO coset decomposition
• On the Integrable Structure of the SU(2) Wess-Zumino-Novikov-Witten Model