Zobrazeno 1 - 10
of 74
pro vyhledávání: '"KAWASETSU, KAZUYA"'
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 rational non-admissible principal W-algebras.
Externí odkaz:
http://arxiv.org/abs/2408.04584
Autor:
Kawasetsu, Kazuya
The Rogers-Ramanujan recursions are studied from the viewpoint of free representations over free (generalized) vertex algebras. Specifically, we construct short exact sequences among the free representations over free generalized vertex algebras whic
Externí odkaz:
http://arxiv.org/abs/2401.17931
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 algebra $L_k(\mathfrak{sl}_2)$ at any non-integral admissible level $
Externí odkaz:
http://arxiv.org/abs/2311.10233
Autor:
Kawasetsu, Kazuya
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 fundamental example of the commutants of vertex algebras ouside vertex operator
Externí odkaz:
http://arxiv.org/abs/2308.04998
The Bershadsky--Polyakov algebras are the subregular quantum hamiltonian reductions of the affine vertex operator algebras associated with $\mathfrak{sl}_3$. In arXiv:2007.00396 [math.QA], we realised these algebras in terms of the regular reduction,
Externí odkaz:
http://arxiv.org/abs/2303.03713
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 $L_k(\mathfrak{sl}_3)$, when the level $k$ is admissible. These are naturally
Externí odkaz:
http://arxiv.org/abs/2107.13204
The Nappi-Witten model is a Wess-Zumino-Witten model in which the target space is the nonreductive Heisenberg group $H_4$. We consider the representation theory underlying this conformal field theory. Specifically, we study the category of weight mod
Externí odkaz:
http://arxiv.org/abs/2011.14453
Let $k$ be a field of characteristic zero. This paper studies a problem proposed by Joseph F. Ritt in 1950. Precisely, we prove that (1) If $p\geq 2$ is an integer, for every integer $i\in\mathbb{N}$, the nilpotency index of the image of $T_i$ in the
Externí odkaz:
http://arxiv.org/abs/2009.04615
The Bershadsky-Polyakov algebras are the minimal quantum hamiltonian reductions of the affine vertex algebras associated to $\mathfrak{sl}_3$ and their simple quotients have a long history of applications in conformal field theory and string theory.
Externí odkaz:
http://arxiv.org/abs/2007.03917
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 an isotropic lattice vertex algebra. This generalises the realisation
Externí odkaz:
http://arxiv.org/abs/2007.00396