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D-brane Moduli Spaces and Superpotentials in a Two-Parameter Model

arXiv:1201.4103 · doi:10.1007/JHEP03(2012)039

Abstract

We study D2-branes on the K3-fibration P^4_(11222)[8] using matrix factorizations at the Landau-Ginzburg point and analyze their moduli space and superpotentials in detail. We find that the open string moduli space consists of various intersecting branches of different dimensions. Families of D2-branes wrapping rational curves of degree one intersect with bound state branches. The influence of non-toric complex structure deformations is investigated in the Landau-Ginzburg framework, where these deformations arise as bulk moduli from the twisted sectors.

35 pages, 2 figures, reference added