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Localizations on Moduli Spaces and Free Field Realizations of Feynman Rules

Jian Zhou
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Abstract

We prove Iqbal's conjecture on the relationship between the free energy of closed string theory in local toric geometry and the Wess-Zumino-Witten model. This is achieved by first reformulating the calculations of the free energy by localization techniques in terms of suitable Feynman rule, then exploiting a realization of the Feynman rule by free bosons. We also use a formula of Hodge integrals conjectured by the author and proved jointly with Chiu-Chu Melissa Liu and Kefeng Liu.

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BibTeXRIS

Jian Zhou. 2003-10-18. Localizations on Moduli Spaces and Free Field Realizations of Feynman Rules. https://arxiv.org/abs/math/0310283

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