Effective superpotentials for B-branes in Landau-Ginzburg models

Details Effective superpotentials for B-branes in Landau-Ginzburg models Effective superpotentials for B-branes in Landau-Ginzburg models

2006-08-03

arxiv.org/abs/hep-th/0608027v1

JHEP 0610:060,2006

Physics

High Energy Physics

High Energy Physics - Theory

57p, 7 figs, harvmac

Scientific paper

10.1088/1126-6708/2006/10/060

We compute the partition function for the topological Landau-Ginzburg B-model on the disk. This is done by treating the worldsheet superpotential perturbatively. We argue that this partition function as a function of bulk and boundary perturbations may be identified with the effective D-brane superpotential in the target spacetime. We point out the relationship of this approach to matrix factorizations. Using these methods, we prove a conjecture for the effective superpotential of Herbst, Lazaroiu and Lerche for the A-type minimal models. We also consider the Landau-Ginzburg theory of the cubic torus where we show that the effective superpotential, given by the partition function, is consistent with the one obtained by summing up disk instantons in the mirror A-model. This is done by explicitly constructing the open-string mirror map.

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