45 citations · 210 across the 18 of their papers we have counts for
7 papers · 1 filter
On lisse non-admissible minimal and principal W-algebras
Tomoyuki Arakawa, Thomas Creutzig, Kazuya Kawasetsu
We discuss a possible generalization of a result by the third-named author on the rationality of non-admissible minimal W-algebras. We then apply this generalization to finding rat…
Weight representations of affine Kac-Moody algebras and small quantum groups
Tomoyuki Arakawa, Thomas Creutzig, Kazuya Kawasetsu
We study the weight modules over affine Kac-Moody algebras from the view point of vertex algebras, and determine the abelian category of weight modules for the simple affine vertex…
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…
Relaxed highest-weight modules III: Character formulae
Kazuya Kawasetsu
This is the third of a series of articles devoted to the study of relaxed highest weight modules over vertex operator algebras. Relaxed highest weight modules over affine vertex al…
Relaxed highest-weight modules II: classifications for affine vertex algebras
Kazuya Kawasetsu, David Ridout
This is the second of a series of articles devoted to the study of relaxed highest-weight modules over affine vertex algebras and W-algebras. The first studied the simple "rank-…
Relaxed highest-weight modules I: rank cases
Kazuya Kawasetsu, David Ridout
Relaxed highest-weight modules play a central role in the study of many important vertex operator (super)algebras and their associated (logarithmic) conformal field theories, inclu…
Orbifolds and cosets of minimal -algebras
Tomoyuki Arakawa, Thomas Creutzig, Kazuya Kawasetsu +1
Let be a simple, finite-dimensional Lie (super)algebra equipped with an embedding of inducing the minimal gradation on .…