Representation Theory of W -algebras, Ii: Ramond Twisted Representations
نویسنده
چکیده
We study the Ramond twisted representations of the affine W algebra W(ḡ, f) in the case that f admits a good even grading. We establish the vanishing and the almost irreducibility of the corresponding BRST cohomology. This confirms some of the recent conjectures of Kac and Wakimoto [KW5]. In type A, our results give the characters of all irreducible ordinary Ramond twisted representations of W(sln, f) for all nilpotent elements f and all non-critical k, and prove the existence of modular invariant representations conjectured in [KW5].
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Ramond Twisted Representations
We study the Ramond twisted representations of the affine W algebra W(ḡ, f) in the case that f is Richardson. We establish the vanishing and the almost irreducibility of the corresponding BRST cohomology. This confirms some of the recent conjectures of Kac and Wakimoto [KW5]. In type A, our results give the characters of all irreducible ordinary Ramond twisted representations of W(sln, f) for a...
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