Discrete Symmetries of the Superpotential and Calculation of Disk Invariants

Details Discrete Symmetries of the Superpotential and Calculation of Disk Invariants Discrete Symmetries of the Superpotential and Calculation of Disk Invariants

2001-09-28

arxiv.org/abs/hep-th/0109214v2

Adv.Theor.Math.Phys.5:651-678,2002

Physics

High Energy Physics

High Energy Physics - Theory

24 pages, references added

Scientific paper

The integrality of Ooguri-Vafa disk invariants is verified using discrete symmetries of the superpotential of the mirror Landau-Ginzburg theory to calculate quantum corrections to the boundary variables. We show that these quantum corrections are completely determined if we assume that the discrete symmetry of the superpotential also holds in terms of the quantum corrected variables. We discuss the case of local P^2 blown up at three points and local F_2 blown up at two points in detail.

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