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Lie Group Quantum Mathematics Seminar

Modularity of Vertex Operator Algebra Correlators with Zero Modes

Darlayne Addabbo, The State University of New York Polytechnic Institute

Location:  Hill 705
Date & time: Friday, 21 November 2025 at 12:10AM - 1:10PM

Zhu famously established that correlation functions of elements in rational C_2-cofinite vertex operator algebras (VOAs) transform nicely under the action of SL_2(Z). In this talk, we will discuss modular transformation properties of VOA correlation functions with zero modes inserted. In particular, we will describe recursion relations satisfied by these correlators and explain how to use these to establish modular transformation properties. (This talk is based on joint work with Christoph A. Keller.)