Discrete Symmetries of the Superpotential and Calculation of Disk Invariants
Abstract
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 P2 blown up at three points and local F2 blown up at two points in detail.
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