13 citations · 28 across the 22 of their papers we have counts for
23 papers
Affine and Lattice Structures in Regular -Graded Vertex Operator Algebras with Gorenstein
Gaywalee Yamskulna
We study regular -graded vertex operator algebras whose weight-zero algebra is a nontrivial finite-dimensional local Gorenstein algebra…
On mode transition algebras for -graded vertex algebras and applications to bosonic ghosts
Katrina Barron, Justine Fasquel, Florencia Orosz Hunziker +1
We study the mode transition algebras and Zhu algebras in the setting of -graded vertex algebras, with particular focus on the Weyl vertex algebra at central charge 2 (…
On -graded vertex algebras associated with Gorenstein algebras
Alex Keene, Christian Soltermann, Gaywalee Yamskulna
This paper investigates the algebraic structure of indecomposable -graded vertex algebras , emphasizing the intricate interactions bet…
Graded pseudo-traces for strongly interlocked modules for a vertex operator algebra and applications
Katrina Barron, Karina Batistelli, Florencia Orosz Hunziker +1
We define the notion of {\it strongly interlocked} for indecomposable generalized modules for a vertex operator algebra, and show that the notion of graded pseudo-trace is well def…
On -graded vertex algebras associated with cyclic Leibniz algebras with small dimensions
C. Barnes, E. Martin, J. Service +1
The main goals for this paper is i) to study of an algebraic structure of -graded vertex algebras associated to vertex -algebroids when are cyclic non-…
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…