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arXiv · 0810.0527

Supersymmetric solutions of gauged five-dimensional supergravity with general matter couplings

Jorge Bellorin
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Abstract

We perform the characterization program for the supersymmetric configurations and solutions of the $\mathcal{N}=1$, $d=5$ Supergravity Theory coupled to an arbitrary number of vectors, tensors and hypermultiplets and with general non-Abelian gaugins. By using the conditions yielded by the characterization program, new exact supersymmetric solutions are found in the $SO(4,1)/SO(4)$ model for the hyperscalars and with $SU(2)\times U(1)$ as the gauge group. The solutions also content non-trivial vector and massive tensor fields, the latter being charged under the U(1) sector of the gauge group and with selfdual spatial components. These solutions are black holes with $AdS_2 \times S^3$ near horizon geometry in the gauged version of the theory and for the ungauged case we found naked singularities. We also analyze supersymmetric solutions with only the scalars $ϕ^x$ of the vector/tensor multiplets and the metric as the non-trivial fields. We find that only in the null class the scalars $ϕ^x$ can be non-constant and for the case of constant $ϕ^x$ we refine the classification in terms of the contributions to the scalar potential.

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Jorge Bellorin. 2009-09-22. Supersymmetric solutions of gauged five-dimensional supergravity with general matter couplings. https://doi.org/10.1088/0264-9381%2F26%2F19%2F195012

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