Does σ-model conformal invariance imply a Robertson-Walker universe?

Starting from the σ-model conformal invariance conditions we find all four dimensional metrics when the dilaton field satisfies the condition ▿ μ ▿ νφ =0. Such configurations have been previously employed in a flat D dimensional target space and naturally come out as solutions consistent with confor...

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Bibliographic Details
Published inPhysics letters. B Vol. 287; no. 1; pp. 69 - 72
Main Authors Diamandis, G.A., Georgalas, B.C., Lahanas, A.B.
Format Journal Article
LanguageEnglish
Published Elsevier B.V 06.08.1992
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Summary:Starting from the σ-model conformal invariance conditions we find all four dimensional metrics when the dilaton field satisfies the condition ▿ μ ▿ νφ =0. Such configurations have been previously employed in a flat D dimensional target space and naturally come out as solutions consistent with conformal invariance of the supersymmetric σ-model beyond the two loop order. The four dimensional metrics emerging out are either of the Robertson-Walker type or a special kind of a generalized pp-wave metric. Of these solutions only the Robertson-Walker metric can be related to a noncritical string theory.
ISSN:0370-2693
1873-2445
DOI:10.1016/0370-2693(92)91878-D