Obstructed D-Branes in Landau-Ginzburg Orbifolds

Details Obstructed D-Branes in Landau-Ginzburg Orbifolds Obstructed D-Branes in Landau-Ginzburg Orbifolds

2004-04-22

arxiv.org/abs/hep-th/0404167v2

Adv.Theor.Math.Phys. 8 (2004) 427-472

Physics

High Energy Physics

High Energy Physics - Theory

44 pages; v3: typos corrected

Scientific paper

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.

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