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.
|Original language||English (US)|
|Number of pages||49|
|Journal||Advances in Theoretical and Mathematical Physics|
|State||Published - Jun 2004|
All Science Journal Classification (ASJC) codes
- Physics and Astronomy(all)