76 citations · 158 across the 18 of their papers we have counts for
21 papers
On rationality of -graded vertex algebras and applications to Weyl vertex algebras under conformal flow
Katrina Barron, Karina Batistelli, Florencia Orosz Hunziker +2
Using the Zhu algebra for a certain category of -graded vertex algebras , we prove that if is finitely -generated and satisfies suitable grading conditions, t…
The level two Zhu algebra for the Heisenberg vertex operator algebra
Darlayne Addabbo, Katrina Barron
We determine the level two Zhu algebra for the Heisenberg vertex operator algebra for any choice of conformal element. We do this using only the following information for :…
On generators and relations for higher level Zhu algebras and applications
Darlayne Addabbo, Katrina Barron
We give some general results about the generators and relations for the higher level Zhu algebras for a vertex operator algebra. In particular, for any element in a vertex oper…
Classification of screening systems for lattice vertex operator algebras
Katrina Barron, Nathan Vander Werf
We study and classify systems of certain screening operators arising in a generalized vertex operator algebra, or more generally an abelian intertwining algebra with an associated…
Higher level Zhu algebras and modules for vertex operator algebras
Katrina Barron, Nathan Vander Werf, Jinwei Yang
Motivated by the study of indecomposable, nonsimple modules for a vertex operator algebra , we study the relationship between various types of -modules and modules for the hi…
On the correspondence between mirror-twisted sectors for N=2 supersymmetric vertex operator superalgebras of the form and N=1 Ramond sectors of
Katrina Barron
Using recent results of the author along with Vander Werf, we present the classification and construction of mirror-twisted modules for N=2 supersymmetric vertex operator superalge…