13 citations · 36 across the 6 of their papers we have counts for
6 papers
The principal W-algebra of
Zachary Fehily, Christopher Raymond, David Ridout
We study the structure and representation theory of the principal W-algebra of . The defining…
Connecting affine -algebras: A case study on
Justine Fasquel, Zachary Fehily, Ethan Fursman +1
We introduce the partial reductions and inverse Hamiltonian reductions between affine -algebras along the closure relations of associated nilpotent orbits in the case…
Inverse reduction for hook-type W-algebras
Zachary Fehily
Originating in the work of A.M. Semikhatov and D. Adamović, inverse reductions are embeddings involving W-algebras corresponding to the same Lie algebra but different nilpotent orb…
Subregular W-algebras of type A
Zachary Fehily
Subregular W-algebras are an interesting and increasingly important class of quantum hamiltonian reductions of affine vertex algebras. Here, we show that the …
Modularity of Bershadsky-Polyakov minimal models
Zachary Fehily, David Ridout
The Bershadsky-Polyakov algebras are the original examples of nonregular W-algebras, obtained from the affine vertex operator algebras associated with by quantum…
Classifying relaxed highest-weight modules for admissible-level Bershadsky-Polyakov algebras
Zachary Fehily, Kazuya Kawasetsu, David Ridout
The Bershadsky-Polyakov algebras are the minimal quantum hamiltonian reductions of the affine vertex algebras associated to and their simple quotients have a long…