45 citations · 210 across the 18 of their papers we have counts for
20 papers
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…
Rogers-Ramanujan exact sequences and free representations over free generalized vertex algebras
Kazuya Kawasetsu
The Rogers-Ramanujan recursions are studied from the viewpoint of free representations over free (generalized) vertex algebras. Specifically, we construct short exact sequences amo…
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…
On the commutant of the principal subalgebra in the lattice vertex algebra
Kazuya Kawasetsu
The coset (commutant) construction is a fundamental tool to construct vertex operator algebras from known vertex operator algebras. The aim of this paper is to provide a fundamenta…
Weight module classifications for Bershadsky--Polyakov algebras
Drazen Adamovic, Kazuya Kawasetsu, David Ridout
The Bershadsky--Polyakov algebras are the subregular quantum hamiltonian reductions of the affine vertex operator algebras associated with . In arXiv:2007.00396 [m…
Admissible-level minimal models
Kazuya Kawasetsu, David Ridout, Simon Wood
The first part of this work uses the algorithm recently detailed in arXiv:1906.02935 to classify the irreducible weight modules of the minimal model vertex operator algebra $L_k(\m…
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-…
Modular linear differential equations of fourth order and minimal -algebras
Kazuya Kawasetsu, Yuichi Sakai
A characterization of the minimal -algebras associated with the Deligne exceptional series at level is obtained by using one-parameter family of modular li…
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…
-orbifold construction associated with -isometry and uniqueness of holomorphic vertex operator algebras of central charge 24
Kazuya Kawasetsu, Ching Hung Lam, Xingjun Lin
The vertex operator algebra structure of a strongly regular holomorphic vertex operator algebra of central charge is proved to be uniquely determined by the Lie algebra st…
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 .…
Quasi-lisse vertex algebras and modular linear differential equations
Tomoyuki Arakawa, Kazuya Kawasetsu
We introduce a notion of quasi-lisse vertex algebras, which generalizes admissible affine vertex algebras. We show that the normalized character of an ordinary module over a quasi-…
-algebras with non-admissible levels and the Deligne exceptional series
Kazuya Kawasetsu
Structure of certain simple -algebras assocated with the Deligne exceptional Lie algebras and non-admissible levels are described as the {\it simple current extensions…
The Free Generalized Vertex Algebras and Generalized Principal Subspaces
Kazuya Kawasetsu
The notion of {\it free} generalized vertex algebras is introduced. It is equivalent to the notion of {\it generalized principal subspaces} associated with lattices which are not n…
The intermediate vertex subalgebras of the lattice vertex operator algebras
Kazuya Kawasetsu
A notion of intermediate vertex subalgebras of lattice vertex operator algebras is introduced, as a generalization of the notion of principal subspaces. Bases and the graded dimens…