• Corpus ID: 119614084

Quantization of open-closed BCOV theory, I

  title={Quantization of open-closed BCOV theory, I},
  author={Kevin J. Costello and Si Li},
  journal={arXiv: High Energy Physics - Theory},
  • K. CostelloSi Li
  • Published 25 May 2015
  • Mathematics
  • arXiv: High Energy Physics - Theory
This is the first in a series of papers which analyze the problem of quantizing the theory coupling Kodaira-Spencer gravity (or BCOV theory) on Calabi-Yau manifolds using the formalism for perturbative QFT developed by the first author. In this paper, we focus on flat space $\mathbb{C}^d$ for $d$ odd. We prove that there exists a unique quantization of the theory coupling BCOV theory and holomorphic Chern-Simons theory with gauge group the supergroup $GL(N \mid N)$. We deduce a canonically… 

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