PIRSA:17010071 Scientific Series Mathematical physics

DOI10.48660/17010071

Series: Mathematical Physics

Li, S. (2017). Vertex algebras and quantum master equation. . Perimeter Institute. https://pirsa.org/17010071

Li, Si. Vertex algebras and quantum master equation. . Perimeter Institute, Jan. 18, 2017, https://pirsa.org/17010071 

@misc{ pirsa_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},
  year = {2017},
  month = {jan},
  note = {PIRSA:17010071 see, \url{https://pirsa.org}}
}

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]

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