Unimodular Supergravity

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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15 pages, latex, new section 7, two new paragraphs in Introduction and Conclusions

Scientific paper

10.1016/S0370-2693(02)01214-5

We present the locally supersymmetric formulation of unimodular gravity theory in D (1\le D \le 11) dimensions, namely supergravity theory with the metric tensor whose determinant is constrained to be unity. In such a formulation, the usual fine-tuning of cosmological constant is no longer needed, but its value is understood as an initial condition. Moreover, the zero-ness of the cosmological constant is concluded as the most probable configuration, based on the effective vacuum functional. We also show that the closure of supersymmetry gauge algebra is consistent with the unimodular condition on the metric.

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