Vertex algebras, quantum master equation and mirror symmetry

Vertex algebras, quantum master equation and mirror symmetry - Si Li

Si Li
Tsinghua University
March 15, 2017
Abstract: We study the effective BV quantization theory for chiral deformation of two
dimensional conformal field theories. We establish an exact correspondence between
renormalized quantum master equations for effective functionals and Maurer-Cartan equations
for chiral vertex operators. The generating functions are proven to be almost holomorphic
modular forms. As an application, we construct an exact solution of quantum B-model (BCOV
theory) in complex one dimension that solves the higher genus mirror symmetry conjecture on
elliptic curves. The talk is based on arXiv: 1612.01292[math.QA]
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