Generalized thermodynamics and holographic superconductors

• Grant number: 15/09221-5
• Support Opportunities: Scholarships in Brazil - Doctorate
• Start date: October 01, 2015
• End date: June 30, 2019
• Field of knowledge: Physical Sciences and Mathematics - Physics - Elementary Particle Physics and Fields
• Principal Investigator: Carlos Molina Mendes
• Grantee: Andres Felipe Cardona Jimenez
• Host 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)

Academic Publications

(References retrieved automatically from State of São Paulo Research Institutions)

JIMENEZ, Andres Felipe Cardona. Thermodynamics and Phase Transitions of Black Holes. 2020. Doctoral Thesis - Universidade de São Paulo (USP). Instituto de Física (IF/SBI) São Paulo.