Domain Walls and Superpotentials from M Theory on Calabi-Yau Three-Folds

Details Domain Walls and Superpotentials from M Theory on Calabi-Yau Three-Folds Domain Walls and Superpotentials from M Theory on Calabi-Yau Three-Folds

2000-01-13

arxiv.org/abs/hep-th/0001082v2

Nucl.Phys. B580 (2000) 225-242

Physics

High Energy Physics

High Energy Physics - Theory

21 pages, harvmac, 1 figure, minor corrections and refs added

Scientific paper

10.1016/S0550-3213(00)00149-8

Compactification of M theory in the presence of G-fluxes yields N=2 five-dimensional gauged supergravity with a potential that lifts all supersymmetric vacua. We derive the effective superpotential directly from the Kaluza-Klein reduction of the eleven-dimensional action on a Calabi-Yau three-fold and compare it with the superpotential obtained by means of calibrations. We discuss an explicit domain wall solution, which represents five-branes wrapped over holomorphic cycles. This solution has a ``running volume'' and we comment on the possibility that quantum corrections provide a lower bound allowing for an AdS_5 vacuum of the 5-dimensional supergravity.

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