Abstract
We study deformations of Landau-Ginzburg D-branes corresponding to obstructed rational curves on Calabi-Yau threefolds. We determine D-brane moduli spaces and D-brane superpotentials by evaluating higher products up to homotopy in the Landau-Ginzburg orbifold category. For concreteness we work out the details for lines on a perturbed Fermat quintic. In this case we show that our results reproduce the local analytic structure of the Hilbert scheme of curves on the threefold.
Citation
S.K. Ashok . E. Dell'Aquila . D.-E. Diaconescu . B. Florea . "Obstructed D-Branes in Landau-Ginzburg Orbifolds." Adv. Theor. Math. Phys. 8 (3) 427 - 472, June, 2004.
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