Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Renormalization Method and Mirror Symmetry   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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The categories of this paper are: comp-gas
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The categories of this paper are: patt-sol
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The categories of this paper are: math-ph
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The categories of this paper are: acc-phys
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The categories of this paper are: nlin
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The categories of this paper are: stat
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The categories of this paper are: alg-geom
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The categories of this paper are: cmp-lg
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The categories of this paper are: ao-sci
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The categories of this paper are: physics
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The categories of this paper are: supr-con
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The categories of this paper are: adap-org
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The categories of this paper are: q-fin
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The categories of this paper are: hep-ph
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The categories of this paper are: quant-ph
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The categories of this paper are: cs