Darlayne Addabbo

activity

20242026

collaborators

3 papers

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 co…

math.QA2025

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.RT2024

Vertex operators for imaginary $gl_{2}$ subalgebras in the Monster Lie Algebra

Darlayne Addabbo, Lisa Carbone, Elizabeth Jurisich +2

The Monster Lie algebra $m$ is a quotient of the physical space of the vertex algebra $V = V^{♮} \otimes V_{1, 1}$ , where $V^{♮}$ is the Moonshine module vertex ope…

The Huang Algebra Ideal and the Diagonal Shift Property

Modularity of Vertex Operator Algebra Correlators with Zero Modes

Vertex operators for imaginary gl2​ subalgebras in the Monster Lie Algebra

Vertex operators for imaginary $gl_{2}$ subalgebras in the Monster Lie Algebra