Vertex algebras and quantum master equation
Abstract
We study the effective BatalinVilkovisky 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 MaurerCartan equations for chiral vertex operators. The generating functions are proven to have modular property with mild holomorphic anomaly. As an application, we construct an exact solution of quantum Bmodel (BCOV theory) in complex one dimension that solves the higher genus mirror symmetry conjecture on elliptic curves.
 Publication:

arXiv eprints
 Pub Date:
 December 2016
 arXiv:
 arXiv:1612.01292
 Bibcode:
 2016arXiv161201292L
 Keywords:

 Mathematics  Quantum Algebra;
 High Energy Physics  Theory;
 Mathematical Physics;
 Mathematics  Algebraic Geometry
 EPrint:
 48 pages. References added