• Corpus ID: 119708892

Vertex algebras and quantum master equation

  title={Vertex algebras and quantum master equation},
  author={Si Li},
  journal={arXiv: Quantum Algebra},
  • Si Li
  • Published 5 December 2016
  • Mathematics
  • arXiv: Quantum Algebra
We study the effective Batalin-Vilkovisky 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 have modular property with mild holomorphic anomaly. As an application, we construct an exact solution of quantum B-model (BCOV theory) in complex one dimension… 

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