13 citations · 15 across the 2 of their papers we have counts for
10 papers
Representations of the Nappi--Witten vertex operator algebra
Andrei Babichenko, Kazuya Kawasetsu, David Ridout +1
The Nappi-Witten model is a Wess-Zumino-Witten model in which the target space is the nonreductive Heisenberg group . We consider the representation theory underlying this con…
A question of Joseph Ritt from the point of view of vertex algebras
Tomoyuki Arakawa, Kazuya Kawasetsu, Julien Sebag
Let be a field of characteristic zero. This paper studies a problem proposed by Joseph F. Ritt in 1950. Precisely, we prove that (1) If is an integer, for every integ…
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…
A realisation of the Bershadsky--Polyakov algebras and their relaxed modules
Drazen Adamovic, Kazuya Kawasetsu, David Ridout
We present a realisation of the universal/simple Bershadsky--Polyakov vertex algebras as subalgebras of the tensor product of the universal/simple Zamolodchikov vertex algebras and…
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-…