Brane superpotential and local Calabi-Yau manifolds

Details Brane superpotential and local Calabi-Yau manifolds Brane superpotential and local Calabi-Yau manifolds

2008-05-18

arxiv.org/abs/0805.2738v1

Int.J.Mod.Phys.A23:2187-2189,2008

Physics

High Energy Physics

High Energy Physics - Theory

3 pages, contribution to the proceedings of the workshop "Progress of String Theory and Quantum Field Theory", Osaka City Univ

Scientific paper

10.1142/S0217751X08040780

We briefly report on some recent progress in the computation of B-brane superpotentials for Type II strings compactified on Calabi-Yau manifolds, obtained by using a parametrization of tubular neighborhoods of complex submanifolds, also known as local spaces. In particular, we propose a closed expression for the superpotential of a brane on a genus-g curve in a Calabi-Yau threefold in the case in which there exists a holomorphic projection from the local space around the curve to the curve itself.

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