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arXiv · 1212.4234

Renormalization Method and Mirror Symmetry

Si Li
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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.

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Si Li. 2012-12-18. Renormalization Method and Mirror Symmetry. https://doi.org/10.3842/sigma.2012.101

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