3 papers
math.QA2026
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…
math.QA2026
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 (…
math.QA2024
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…