Renormalization Method and Mirror Symmetry

Si Li

Symmetry, integrability and geometry: methods and applications, Tome 8 (2012)

Résumé

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.

Détail

Keywords: BCOV; Calabi–Yau; renormalization; mirror symmetry.

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