The study of black hole physics is fundamental in the understanding of strong gravity effects and, in general, serves as a crucial test for a quantum theory of gravity. In this context, string theory provides an elegant framework for conducting explicit calculations, achieving striking results such as the counting of black hole microstates that reproduce the BekensteinHawking entropy formula. In order to find solutions in string theory, one possible approach is to study its low energy limit: supergravity. A wellknown aspect of supergravity black holes is the “attractor mechanism”, namely the fact that the area of the horizon of extremal solutions  and consequently, the entropy of black holes  does not depend on the asymptotic values of the scalars but only on the charges. Over the past decades, different configurations have been studied, starting from the simplest case of ungauged theories. Progress was then made by studying black hole solutions with an Antide Sitter (AdS) vacuum, which have important implications for gauge/gravity correspondence. A significant class of solutions yet to be explored includes gauged solutions where the cosmological constant has not been fixed to be negative. A better understanding of these solutions may have numerous consequences, including a deeper comprehension of the attractor mechanism itself. In this thesis, we analyse D = 4, N = 2 gauged supergravity theories that include both vector multiplets and hypermultiplets, without fixing a priori a gauging choice that leads to AdS vacua. In this context, a firstorder description for the most general black hole solution in terms of the gradient flow of a real superpotential was obtained, generalizing the previous results obtained for AdS black holes. Moreover, the explicit construction of some simplified models with one vector multiplet and one hypermultiplet was carried out, underlying their limitations and suggesting possible extensions to be considered in future works.
The study of black hole physics is fundamental in the understanding of strong gravity effects and, in general, serves as a crucial test for a quantum theory of gravity. In this context, string theory provides an elegant framework for conducting explicit calculations, achieving striking results such as the counting of black hole microstates that reproduce the BekensteinHawking entropy formula. In order to find solutions in string theory, one possible approach is to study its low energy limit: supergravity. A wellknown aspect of supergravity black holes is the “attractor mechanism”, namely the fact that the area of the horizon of extremal solutions  and consequently, the entropy of black holes  does not depend on the asymptotic values of the scalars but only on the charges. Over the past decades, different configurations have been studied, starting from the simplest case of ungauged theories. Progress was then made by studying black hole solutions with an Antide Sitter (AdS) vacuum, which have important implications for gauge/gravity correspondence. A significant class of solutions yet to be explored includes gauged solutions where the cosmological constant has not been fixed to be negative. A better understanding of these solutions may have numerous consequences, including a deeper comprehension of the attractor mechanism itself. In this thesis, we analyse D = 4, N = 2 gauged supergravity theories that include both vector multiplets and hypermultiplets, without fixing a priori a gauging choice that leads to AdS vacua. In this context, a firstorder description for the most general black hole solution in terms of the gradient flow of a real superpotential was obtained, generalizing the previous results obtained for AdS black holes. Moreover, the explicit construction of some simplified models with one vector multiplet and one hypermultiplet was carried out, underlying their limitations and suggesting possible extensions to be considered in future works.
New black hole solutions in N = 2 U(1) gauged supergravity
SIFO, GAETANO MARIA
2023/2024
Abstract
The study of black hole physics is fundamental in the understanding of strong gravity effects and, in general, serves as a crucial test for a quantum theory of gravity. In this context, string theory provides an elegant framework for conducting explicit calculations, achieving striking results such as the counting of black hole microstates that reproduce the BekensteinHawking entropy formula. In order to find solutions in string theory, one possible approach is to study its low energy limit: supergravity. A wellknown aspect of supergravity black holes is the “attractor mechanism”, namely the fact that the area of the horizon of extremal solutions  and consequently, the entropy of black holes  does not depend on the asymptotic values of the scalars but only on the charges. Over the past decades, different configurations have been studied, starting from the simplest case of ungauged theories. Progress was then made by studying black hole solutions with an Antide Sitter (AdS) vacuum, which have important implications for gauge/gravity correspondence. A significant class of solutions yet to be explored includes gauged solutions where the cosmological constant has not been fixed to be negative. A better understanding of these solutions may have numerous consequences, including a deeper comprehension of the attractor mechanism itself. In this thesis, we analyse D = 4, N = 2 gauged supergravity theories that include both vector multiplets and hypermultiplets, without fixing a priori a gauging choice that leads to AdS vacua. In this context, a firstorder description for the most general black hole solution in terms of the gradient flow of a real superpotential was obtained, generalizing the previous results obtained for AdS black holes. Moreover, the explicit construction of some simplified models with one vector multiplet and one hypermultiplet was carried out, underlying their limitations and suggesting possible extensions to be considered in future works.File  Dimensione  Formato  

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https://hdl.handle.net/20.500.12608/70119