D-branes, obstructed curves, and minimal model superpotentials

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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Scientific paper

In this short note we apply methods of Aspinwall-Katz to compute
superpotentials of D-branes wrapped on more general obstructed rational curves
in Calabi-Yau threefolds. We find an a priori unexpected match between
superpotentials from certain such curves and the superpotentials of
Landau-Ginzburg models corresponding to minimal models.

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