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Supersymmetric black holes and attractors in gauged supergravity with\n hypermultiplets

2015/03/31 by Samuele Chimento, Chimento, Samuele, Dietmar Klemm +3
Physics and Astronomy · #Astrophysical Phenomena and Observations #Black Holes and Theoretical Physics #FOS: Physical sciences #General Relativity and Quantum Cosmology (gr-qc) #High Energy Physics - Theory (hep-th) #Noncommutative and Quantum Gravity Theories

paper · pdf · doi:10.48550/arxiv.1503.09055

openalex publication_date 2015/03/31 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We consider four-dimensional N=2 supergravity coupled to vector- and\nhypermultiplets, where abelian isometries of the quaternionic K "ahler\nhypermultiplet scalar manifold are gauged. Using the recipe given by Meessen\nand Ort ' in in arXiv:1204.0493, we analytically construct a supersymmetric\nblack hole solution for the case of just one vector multiplet with prepotential\n cal F=-i\χ01, and the universal hypermultiplet. This solution has\na running dilaton, and it interpolates between \AdS2\×\H2\nat the horizon and a hyperscaling-violating type geometry at infinity,\nconformal to \AdS2\×\H2. It carries two magnetic charges\nthat are completely fixed in terms of the parameters that appear in the Killing\nvector used for the gauging. In the second part of the paper, we extend the\nwork of Bellucci et al. on black hole attractors in gauged supergravity to the\ncase where also hypermultiplets are present. The attractors are shown to be\ngoverned by an effective potential V\eff, which is extremized on the\nhorizon by all the scalar fields of the theory. Moreover, the entropy is given\nby the critical value of V\eff. In the limit of vanishing scalar\npotential, V\eff reduces (up to a prefactor) to the usual black hole\npotential.\n

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