Black holes and holographic superconductors

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Date
2023-06
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Benemérita Universidad Autónoma de Puebla
Abstract
"The present thesis focuses on studying non-relativistic aspects of the gauge/gravity duality. As a first instance, we focus on exploring gravitational aspects of the duality, particularly the search for gravitational configurations that could be used for exploring finite temperature field theory systems. We construct both static and rotating black hole configurations with Lifshitz asymptotic within the framework of Einstein-Maxwell Dilaton models. The static configurations comprise a large family of multi-dimensional charged Lifshitz black holes with arbitrary scaling exponent, supported by EMD models containing an arbitrary number of gauge fields. Particular cases of this family fall into the so-called logarithmically Lifshitz black holes due to the rather unusual fall-off following a logarithmic behavior. It corresponds to a (d+2)-dimensional rotating black hole with the maximum number of rotation parameters possible in d+2 dimensions. The rotating nature of the black hole was verified by performing a quasi-local analysis of conserved charges and defining the corresponding angular momentum. In both cases, computing the associated global charges as other thermodynamic quantities like temperature and entropy allowed us to verify the thermodynamics for all solutions. By considering a particular case of the previous rotating background, we construct a holographic model for a type-II superconductor".
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