VOA correlators with zero modes inserted are proven to be quasi-modular (zero modes only) or quasi-Jacobi (mixed with vertex operators) forms, and a class of heavy Heisenberg algebras is introduced whose correlators have homogeneous weight.
Modular transform of free fermion generalised Gibbs ensembles and generalised power partitions
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Modularity of Vertex Operator Algebra Correlators with Zero Modes
VOA correlators with zero modes inserted are proven to be quasi-modular (zero modes only) or quasi-Jacobi (mixed with vertex operators) forms, and a class of heavy Heisenberg algebras is introduced whose correlators have homogeneous weight.