Supersymmetric Domain Walls from Metrics of Special Holonomy

Details Supersymmetric Domain Walls from Metrics of Special Holonomy Supersymmetric Domain Walls from Metrics of Special Holonomy

2001-08-26

arxiv.org/abs/hep-th/0108191v1

Nucl.Phys.B623:3-46,2002

Physics

High Energy Physics

High Energy Physics - Theory

53 pages, Latex, uses amssymb.sty

Scientific paper

10.1016/S0550-3213(01)00640-X

Supersymmetric domain-wall spacetimes that lift to Ricci-flat solutions of M-theory admit generalized Heisenberg (2-step nilpotent) isometry groups. These metrics may be obtained from known cohomogeneity one metrics of special holonomy by taking a "Heisenberg limit", based on an In\"on\"u-Wigner contraction of the isometry group. Associated with each such metric is an Einstein metric with negative cosmological constant on a solvable group manifold. We discuss the relevance of our metrics to the resolution of singularities in domain-wall spacetimes and some applications to holography. The extremely simple forms of the explicit metrics suggest that they will be useful for many other applications. We also give new but incomplete inhomogeneous metrics of holonomy SU(3), $G_2$ and Spin(7), which are $T_1$, $T_2$ and $T_3$ bundles respectively over hyper-K\"ahler four-manifolds.

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