Gauge/gravity dualities, Navier-Stokes equations with soft-hair, and Dirac fluids

• Grant number: 22/01734-7
• Support Opportunities: Regular Research Grants
• Start date: June 01, 2022
• End date: May 31, 2024
• 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: Jorge José Leite Noronha Junior

Abstract

This project develops and implements theoretical and phenomenological aspects of AdS/CFT and AdS/CMT correspondences. Generalized black branes will be studied in AdS4 and AdS5, and the respective corrections to the Navier-Stokes equations in dual field theory, containing soft hair, will be derived, with additional diffusion and coupling terms with the Ricci curvature, with effective viscosity and induced metric with BMS symmetry. Classical and quantum effects will be studied, from the theory of hydrodynamic transport in metals at finite temperature and chemical potential at the boundary. The spectral functions will be computed, as well as the transport and response coefficients, and their consequences will be explored in the emergent Fermi liquids approach. Dirac's fluids will be then studied in terms of a renormalizable gravitational action with higher-order curvature terms. We will improve the relativistic non-perturbative hydrodynamic theory of electron transport in the Dirac fluid, in strange metals, and graphene. The Dirac fluid instabilities in graphene will be investigated, as well as its relationship with vortex formation. We will analyze the instability of AdS and turbulence phenomena in the gravitational collapse of a scalar field, also in the context of generalized black branes in AdS, as well as instabilities and turbulence phenomena that emerge in the context of the underlying holographic thermalization, in dual field theory, also in the far-from-equilibrium regime. (AU)

Scientific publications

(8)

(References retrieved automatically from Web of Science and SciELO through information on FAPESP grants and their corresponding numbers as mentioned in the publications by the authors)

KARAPETYAN, G.; DA ROCHA, R.. Nuclear information entropy, gravitational form factor, and glueballs in AdS/QCD. EUROPEAN PHYSICAL JOURNAL PLUS, v. 137, n. 7, p. 8-pg., 2022-07-02. (22/01734-7, 21/01089-1, 17/18897-8)

CAVALCANTI, R. T.; DE PAIVA, R. C.; DA ROCHA, R.. Echoes of the gravitational decoupling: scalar perturbations and quasinormal modes of hairy black holes. EUROPEAN PHYSICAL JOURNAL PLUS, v. 137, n. 10, p. 13-pg., 2022-10-27. (22/01734-7, 21/01089-1, 17/18897-8)

CASADIO, R.; DA ROCHA, R.; MEERT, P.; TABARRONI, L.; BARRETO, W.. Configurational entropy of black hole quantum cores. Classical and Quantum Gravity, v. 40, n. 7, p. 13-pg., 2023-04-06. (22/01734-7, 21/01089-1, 19/21281-4, 22/12401-9)

CASADIO, R.; DA ROCHA, R.. Axion stars in MGD background. EUROPEAN PHYSICAL JOURNAL C, v. 83, n. 6, p. 15-pg., 2023-06-26. (22/01734-7, 21/01089-1)

BARRETO, W.; HERRERA-AGUILAR, A.; DA ROCHA, R.. Configurational entropy of generalized sine-Gordon-type models. ANNALS OF PHYSICS, v. 447, p. 23-pg., 2022-10-25. (22/01734-7, 21/01089-1)

BARRETO, W.; DA ROCHA, R.. Differential configurational entropy and the gravitational collapse of a kink. PHYSICAL REVIEW D, v. 105, n. 6, p. 11-pg., 2022-03-28. (22/01734-7, 21/01089-1, 17/18897-8)

BARRETO, W.; DA ROCHA, R.. Gravitational collapse in AdS: instabilities, turbulence, and information. EUROPEAN PHYSICAL JOURNAL PLUS, v. 137, n. 7, p. 12-pg., 2022-07-21. (22/01734-7, 21/01089-1)

RODRIGUES, D. MARINHO; DA ROCHA, R.. Configurational entropy and spectroscopy of even-spin glueball resonances in dynamical AdS/QCD. EUROPEAN PHYSICAL JOURNAL PLUS, v. 137, n. 4, p. 21-pg., 2022-04-07. (21/01565-8, 22/01734-7, 21/01089-1, 17/18897-8)