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arXiv · 2208.02101

Unitarity of minimal $W$-algebras and their representations I

Victor G. Kac·Pierluigi Möseneder Frajria·Paolo Papi
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Abstract

We begin a systematic study of unitary representations of minimal $W$-algebras. In particular, we classify unitary minimal $W$-algebras and make substantial progress in classification of their unitary irreducible highest weight modules. We also compute the characters of these modules.

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Victor G. Kac, Pierluigi Möseneder Frajria, Paolo Papi. 2022-08-03. Unitarity of minimal $W$-algebras and their representations I. https://doi.org/10.1007/s00220-023-04637-5

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