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PLANAR HOMOLOGICAL MIRROR SYMMETRY

EIJI KONISHI

Department of Physics, School of Science, Kyoto University, Sakyo-ku, Kyoto 606-8502, Japan

https://doi.org/10.1142/S0217751X07037202Cited by:2 (Source: Crossref)

Abstract

In this paper, we formulate a planar limited version of the B-side in homological mirror symmetry that formularizes Chern–Simons-type topological open string field theory using homotopy associative algebra (A_∞ algebra). This formulation is based on the works by Dijkgraaf and Vafa. We show that our formularization includes gravity/gauge theory correspondence which originates in the AdS/CFT duality of Dijkgraaf–Vafa theory.

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