Video URL
https://pirsa.org/17010071Vertex algebras and quantum master equation.
APA
Li, S. (2017). Vertex algebras and quantum master equation. . Perimeter Institute for Theoretical Physics. https://pirsa.org/17010071
MLA
Li, Si. Vertex algebras and quantum master equation. . Perimeter Institute for Theoretical Physics, Jan. 18, 2017, https://pirsa.org/17010071
BibTex
@misc{ scivideos_PIRSA:17010071, doi = {10.48660/17010071}, url = {https://pirsa.org/17010071}, author = {Li, Si}, keywords = {Mathematical physics}, language = {en}, title = {Vertex algebras and quantum master equation. }, publisher = {Perimeter Institute for Theoretical Physics}, year = {2017}, month = {jan}, note = {PIRSA:17010071 see, \url{https://scivideos.org/index.php/pirsa/17010071}} }
Si Li Tsinghua University
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 quasi-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]