Renormalization Method and Mirror Symmetry
Algebraic Geometry
2012-12-19 v1 High Energy Physics - Theory
Quantum Algebra
Abstract
This is a brief summary of our works [arXiv:1112.4063, arXiv:1201.4501] on constructing higher genus B-model from perturbative quantization of BCOV theory. We analyze Givental's symplectic loop space formalism in the context of B-model geometry on Calabi-Yau manifolds, and explain the Fock space construction via the renormalization techniques of gauge theory. We also give a physics interpretation of the Virasoro constraints as the symmetry of the classical BCOV action functional, and discuss the Virasoro constraints in the quantum theory.
Cite
@article{arxiv.1212.4234,
title = {Renormalization Method and Mirror Symmetry},
author = {Si Li},
journal= {arXiv preprint arXiv:1212.4234},
year = {2012}
}