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• W2093685105 abstract "From the worldsheet perspective, the superpotential on a D-brane wrapping internal cycles of a Calabi–Yau manifold is given as a generating functional for disk correlation functions. On the other hand, from the geometric point of view, D-brane superpotentials are captured by certain chain integrals. In this work, we explicitly show for branes wrapping internal two-cycles how these two different approaches are related. More specifically, from the worldsheet point of view, D-branes at the Landau–Ginzburg point have a convenient description in terms of matrix factorizations. We use a formula derived by Kapustin and Li to explicitly evaluate disk correlators for families of D2-branes. On the geometry side, we then construct a three-chain whose period gives rise to the effective superpotential and show that the two expressions coincide. Finally, as an explicit example, we choose a particular compact Calabi–Yau hypersurface and compute the effective D2-brane superpotential in different branches of the open moduli space, in both geometric and worldsheet approaches." @default.
• W2093685105 created "2016-06-24" @default.
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• W2093685105 date "2011-02-01" @default.
• W2093685105 modified "2023-10-17" @default.
• W2093685105 title "D-brane superpotentials: Geometric and worldsheet approaches" @default.
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• W2093685105 doi "https://doi.org/10.1016/j.nuclphysb.2010.10.014" @default.
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