Static Domain Walls in N=1 Supergravity

Details Static Domain Walls in N=1 Supergravity Static Domain Walls in N=1 Supergravity

1992-01-06

arxiv.org/abs/hep-th/9201007v1

Nucl.Phys.B381:301-328,1992

Physics

High Energy Physics

High Energy Physics - Theory

29 pages + 11 figures (not included)

Scientific paper

10.1016/0550-3213(92)90649-V

We study supersymmetric domain walls in N=1 supergravity theories, including those with modular-invariant superpotentials arising in superstring compactifications. Such domain walls are shown to saturate the Bogomol'nyi bound of wall energy per unit area. We find \sl static \rm and \sl reflection asymmetric \rm domain wall solutions of the self-duality equations for the metric and the matter fields. Our result establishes a new class of domain walls beyond those previously classified. As a corollary, we define a precise notion of vacuum degeneracy in the supergravity theories. In addition, we found examples of global supersymmetric domain walls that do not have an analog when gravity is turned on. This result establishes that in the case of extended topological defects gravity plays a crucial, nontrivial role.

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