Pseudo-Supersymmetry and the Domain-Wall/Cosmology Correspondence

Abstract

The correspondence between domain-wall and cosmological solutions of gravity coupled to scalar fields is explained. Any domain wall solution that admits a Killing spinor is shown to correspond to a cosmology that admits a pseudo-Killing spinor: whereas the Killing spinor obeys a Dirac-type equation with hermitian `mass'-matrix, the corresponding pseudo-Killing spinor obeys a Dirac-type equation with a anti-hermitian `mass'-matrix. We comment on some implications of (pseudo)supersymmetry.

arXiv comment11 pages, contribution to the proceedings of IRGAC 2006;v3: minor changes

References in corpus (8)

• Fake Supergravity and Domain Wall Stability
• Hidden supersymmetry of domain walls and cosmologies
• On the fakeness of fake supergravity
• Hamilton-Jacobi method for Domain Walls and Cosmologies
• Curved BPS domain wall solutions in five-dimensional gauged supergravity
• N=4 "Fake" Supergravity
• Dilaton Domain Walls and Dynamical Systems
• Large-order Perturbation Theory and de Sitter/Anti de Sitter Effective Actions

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