On W-Algebras Associated to (2, p) Minimal Models and Their Representations
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Publication:3057525
DOI10.1093/IMRN/RNQ016zbMATH Open1210.17031arXiv0908.4053OpenAlexW2963823068MaRDI QIDQ3057525
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Publication date: 24 November 2010
Published in: (Search for Journal in Brave)
Abstract: For every odd p geq 3, we investigate representation theory of the vertex algebra WW_{2,p} associated to (2,p) minimal models for the Virasoro algebras. We demonstrate that vertex algebras WW_{2,p} are C_2--cofinite and irrational. Complete classification of irreducible representations for WW_{2,3} is obtained, while the classification for p geq 5 is subject to certain constant term identities. These identities can be viewed as "logarithmic deformations" of Dyson and Selberg constant term identities, and are of independent interest.
Full work available at URL: https://arxiv.org/abs/0908.4053
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