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Some isomorphisms between exceptional W-algebras

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arxiv 2408.08371 v1 pith:Y6BS5N3A submitted 2024-08-15 math.QA hep-thmath.RT

Jethro van Ekeren , Shigenori Nakatsuka This is my paper · ORCID
classification math.QAhep-thmath.RT
keywords exceptionalisomorphismssomew-algebrasalgebrasassociatedprovesimple
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We prove some isomorphisms between exceptional W-algebras associated with exceptional simple Lie algebras.

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  1. Characters and fusion rules of boundary W-algebras

    math.QA 2025-09 conditional novelty 8.0 of 10

    Boundary W-algebras W(sl_n[um,s], n/u) and principal W-algebras W(sl_s[s], s/u) have matching q-characters and modular data, hence identical fusion rules.

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