# Modularity of Bershadsky-Polyakov minimal models

@inproceedings{Fehily2021ModularityOB, title={Modularity of Bershadsky-Polyakov minimal models}, author={Zachary Fehily and David Ridout}, year={2021} }

The Bershadsky–Polyakov algebras are the original examples of nonregular W-algebras, obtained from the affine vertex operator algebras associated with sl3 by quantum hamiltonian reduction. In [1], we explored the representation theories of the simple quotients of these algebras when the level k is nondegenerate-admissible. Here, we combine these explorations with Adamović’s inverse quantum hamiltonian reduction functors to study the modular properties of Bershadsky–Polyakov characters and…

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