Ramond sector of superconformal algebras via quantum reduction

Abstract

Quantum hamiltonian reduction of affine superalgebras is studied in the twisted case. The Ramond sector of "minimal" superconformal W-algebras is described in detail, the determinant formula is obtained. Extensive list of examples includes all the simple Lie superalgebras of rank up to 2. The paper generalizes the results of Kac and Wakimoto (math-ph/0304011) to the twisted case.

50 pages, 8 figures; v2: examples added, determinant formula derivation modified, section order changed

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Cited by in corpus (3)

• Instanton partition functions in N=2 SU(N) gauge theories with a general surface operator, and their W-algebra duals
• Coset conformal blocks and N=2 gauge theories
• W-algebras and surface operators in N=2 gauge theories