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Generalized thermodynamics and holographic superconductors

Grant number: 15/09221-5
Support type:Scholarships in Brazil - Doctorate
Effective date (Start): October 01, 2015
Effective date (End): June 30, 2019
Field of knowledge:Physical Sciences and Mathematics - Physics - Elementary Particle Physics and Fields
Principal researcher:Carlos Molina Mendes
Grantee:Andres Felipe Cardona Jimenez
Home Institution: Instituto de Física (IF). Universidade de São Paulo (USP). São Paulo , SP, Brazil

Abstract

In this project we propose a thermodynamical characterization of the so-called holographic conductors, through the generalized thermodynamicspresented by Hayward et al. The holographic superconductivity is based on gravitational models applied to the description of superconductor materials. The key component in this program is the anti-de Sitter/conformal field theory correspondence (AdS/CFT) and its generalizations, the gauge/gravity correspondences. The project involves the study of some models presented in the literature lokking for a better characterization of their gravitational and strongly coupled sides. In this research project we will investigate the thermodynamical characteristics associated to the gauge/gravity correspondences describing superconductivity models. In this program, a characterization of the AdS geometries from the point of view of Hayward is fundamental. The new thermodynamical results for the gravitational sector will be compared with the thermodynamics in the sector involving the field theory. (AU)

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