| Grant number: | 17/18897-8 |
| Support Opportunities: | Regular Research Grants |
| Start date: | December 01, 2017 |
| End date: | November 30, 2019 |
| Field of knowledge: | Physical Sciences and Mathematics - Physics - Elementary Particle Physics and Fields |
| Principal Investigator: | Roldão da Rocha |
| Grantee: | Roldão da Rocha |
| Host Institution: | Centro de Matemática, Computação e Cognição (CMCC). Universidade Federal do ABC (UFABC). Ministério da Educação (Brasil). Santo André , SP, Brazil |
| Associated researchers: | Roberto Casadio |
Abstract
This project develops and implements important theoretical and phenomenological aspects of the fluid/gravity correspondence, using generalized black branes, their fermionic sectors and ramifications. We shall limit the parameter that governs the geometric deformation of AdS-Schwarzschild black branes, from the shear viscosity-to-entropy density ratio, deriving and using the analogue Kovtun-Son-Starinets saturation for the respective cases here studied. The fermionic sector of supersymmetric fluids at the boundary of the dual AdS space shall be obtained, by deriving corrections to its entropy and temperature, from the covariant bilinear associated with fermionic fields. The Navier-Stokes equations associated with the dual fluids shall be solved, with corrections also due to superpartner black holes. We shall study classical and quantum effectsfrom the theory of hydrodynamic transport in metals that are dual to generalized black branes with finite temperature and the chemical potential in the boundary, from generalizations of the action of Einstein-Maxwell-Dirac action for regular fermions. The respective functions of Green and spectral functions shall be computed, as well as the coefficients of transport and response, and their consequences explored in the context of emergent Fermi liquids and their ramifications. Dirac fluids shall therefore be studied from the Einstein-Maxwell-dilaton action with gauge field on an AdS4 bulk, as well as its renormalizable generalizations involving Gauss--Bonnet and Chern-Pontryagin invariants. We shall formulate the violation of the thermal conductivity-to-electrical conductivity ratio in the graphene, which is much larger than that predicted for Fermi liquids. The instability of generalized black branes shall be still related to the Cooper's instability in the BCS mechanism (Bardeen-Cooper-Schrieffer). (AU)
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