期刊论文详细信息
Symmetry Integrability and Geometry-Methods and Applications
Renormalization Method and Mirror Symmetry
article
Si Li1 
[1] Department of mathematics, Northwestern University
关键词: BCOV;    Calabi–Yau;    renormalization;    mirror symmetry;   
DOI  :  10.3842/SIGMA.2012.101
来源: National Academy of Science of Ukraine
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【 摘 要 】

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.

【 授权许可】

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