Pseudo-Supersymmetry and the Domain-Wall/Cosmology Correspondence

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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

Scientific paper

10.1088/1751-8113/40/25/S18

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.

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