Quasi-lisse vertex (super)algebras

Abstract

We study quasi-lisse vertex (super)algebras and establish new finiteness conditions for the convergence of genus-zero and genus-one $n$-point correlation functions.

arXiv comment36 pages, incorporating referee comments, sections on arc spaces removed, several statements made more precise, additional details added, and overall exposition improved

References in corpus (11)

• Infinite Chiral Symmetry in Four Dimensions
• Modular invariance of trace functions in orbifold theory
• Towards a mathematical definition of Coulomb branches of $3$-dimensional $\mathcal{N}=4$ gauge theories, II
• Finite vs. affine W-algebras
• Vertex operator algebras, Higgs branches, and modular differential equations
• Integrable highest weight modules over affine superalgebras and Appell's function
• Generalized twisted modules associated to general automorphisms of a vertex operator algebra
• Torus n-Point Functions for $\mathbb{R}$-graded Vertex Operator Superalgebras and Continuous Fermion Orbifolds
• Surface defects, flavored modular differential equations and modularity
• Chiral Homology of elliptic curves and the Zhu algebra
• Poisson traces, D-modules, and symplectic resolutions