Matrix Factorizations And Mirror Symmetry: The Cubic Curve

Details Matrix Factorizations And Mirror Symmetry: The Cubic Curve Matrix Factorizations And Mirror Symmetry: The Cubic Curve

2004-08-31

arxiv.org/abs/hep-th/0408243v1

JHEP 0611 (2006) 006

Physics

High Energy Physics

High Energy Physics - Theory

23 pages, 3 figures

Scientific paper

10.1088/1126-6708/2006/11/006

We revisit open string mirror symmetry for the elliptic curve, using matrix factorizations for describing D-branes on the B-model side. We show how flat coordinates can be intrinsically defined in the Landau-Ginzburg model, and derive the A-model partition function counting disk instantons that stretch between three D-branes. In mathematical terms, this amounts to computing the simplest Fukaya product m_2 from the LG mirror theory. In physics terms, this gives a systematic method for determining non-perturbative Yukawa couplings for intersecting brane configurations.

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