Darlayne Addabbo

activity

20162026

most citedOn generators and relations for higher level Zhu algebras and applications

6 citations · 6 across the 7 of their papers we have counts for

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3 papers · 1 filter

math.QA2026

The Huang Algebra Ideal and the Diagonal Shift Property

Darlayne Addabbo

Let $V$ be a grading-restricted vertex algebra and let $A^{\infty} (V) = U^{\infty} (V) / Q^{\infty} (V)$ be the associative algebra constructed by Huang, where $U^{\infty} (V)$ is the space of c…

math.QA2024

Modularity of Vertex Operator Algebra Correlators with Zero Modes

Darlayne Addabbo, Christoph A. Keller

It is known from Zhu's results that under modular transformations, correlators of rational $C_{2}$ -cofinite vertex operator algebras transform like Jacobi forms. We investigate the m…

math.QA2021★ 6 cited

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 $u$ in a vertex oper…