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Constructing black hole solutions in supergravity theories

Politecnico di Torino, Dipartimento di Scienza Applicata e Tecnologia, corso Duca degli Abruzzi 24, 10129 Torino, Italy

Istituto Nazionale di Fisica Nucleare, Sezione di Torino, via Pietro Giuria 1, 10125 Torino, Italy

E-mail Address: antonio.gallerati@polito.it

https://doi.org/10.1142/S0217751X19300175Cited by:13 (Source: Crossref)

Abstract

We perform a detailed analysis of black hole solutions in supergravity models. After a general introduction on black holes in general relativity and supersymmetric theories, we provide a detailed description of ungauged extended supergravities and their dualities. Therefore, we analyze the general form of black hole configurations for these models, their near-horizon behavior and characteristic of the solution. An explicit construction of a black hole solution with its physical implications is given for the STU-model. The second part of this review is dedicated to gauged supergravity theories. We describe a step-by-step gauging procedure involving the embedding tensor formalism to be used to obtain a gauged model starting from an ungauged one. Finally, we analyze general black hole solutions in gauged models, providing an explicit example for the $𝒩 = 2$ , $D = 4$ case. A brief review on special geometry is also provided, with explicit results and relations for supersymmetric black hole solutions.

Keywords:

PACS: 04.65.+e, 04.70.-s, 04.60.-m

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