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Renormalization Method and Mirror Symmetry

Vernadsky National Library of Ukraine

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Title Renormalization Method and Mirror Symmetry
 
Creator Li, S.
 
Description 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.
 
Date 2019-02-19T18:25:19Z
2019-02-19T18:25:19Z
2012
 
Type Article
 
Identifier Renormalization Method and Mirror Symmetry / S. Li // Symmetry, Integrability and Geometry: Methods and Applications. — 2012. — Т. 8. — Бібліогр.: 29 назв. — англ.
1815-0659
2010 Mathematics Subject Classification: 14N35; 58A14; 81T15; 81T70
DOI: http://dx.doi.org/10.3842/SIGMA.2012.101
http://dspace.nbuv.gov.ua/handle/123456789/149191
 
Language en
 
Relation Symmetry, Integrability and Geometry: Methods and Applications
 
Publisher Інститут математики НАН України