AdS/CMT thermal and quantum phase transitions and self-duality

• Grant number: 24/13212-0
• Support Opportunities: Scholarships in Brazil - Master
• Start date: December 01, 2024
• End date: February 28, 2026
• Field of knowledge: Physical Sciences and Mathematics - Physics - Elementary Particle Physics and Fields
• Principal Investigator: Horatiu Stefan Nastase
• Grantee: Diego Matias Cazon Tejerina
• Host Institution: Instituto de Física Teórica (IFT). Universidade Estadual Paulista (UNESP). Campus de São Paulo. São Paulo , SP, Brazil
• Associated research grant: 19/21281-4 - Gauge / gravity duality, AP.TEM

Abstract

AdS/CMT is a more phenomenological version of the AdS/CFT correspondence, for use in condensed matter systems. The standard thermal phase transition, between superconductor (or superfluid) and normal phases, is described by an AdS black hole, with or without charge, with a scalar field added on, that changes the horizon boundary conditions. A quantum critical phase transition, on the other hand, can be described in an Einstein-Maxwell system with a coupling to the Weyl tensor, from the dual to the ABJM model. We will study the interplay of these two situations, and whether we can put them together, and thus describe the Kosterlitz-Thouless phase transition line. We also consider the self-duality of transport in such an Einstein-Maxwell-scalar system.