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Fluid/gravity correspondence, fermionic sectors and its ramifications

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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Scientific publications (47)
(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)
FERNANDES-SILVA, A.; DA ROCHA, R.. Gregory-Laflamme analysis of MGD black strings. EUROPEAN PHYSICAL JOURNAL C, v. 78, n. 3, . (17/18897-8)
CASADIO, ROBERTO; NICOLINI, PIERO; DA ROCHA, ROLDAO. Generalised uncertainty principle Hawking fermions from minimally geometric deformed black holes. Classical and Quantum Gravity, v. 35, n. 18, . (17/18897-8)
KUNTZ, IBERE; DA ROCHA, ROLDAO. Spacetime instability due to quantum gravity. EUROPEAN PHYSICAL JOURNAL C, v. 79, n. 6, . (17/18897-8)
OVALLE, J.; CASADI, R.; DA ROCHA, R.; SOTOMAYOR, A.; STUCHLIK, Z.. Einstein-Klein-Gordon system by gravitational decoupling. EPL, v. 124, n. 2, . (17/18897-8)
OVALLE, J.; CASADIO, R.; DA ROCHA, R.; SOTOMAYOR, A.; STUCHLIK, Z.. Black holes by gravitational decoupling. EUROPEAN PHYSICAL JOURNAL C, v. 78, n. 11, . (17/18897-8)
FERREIRA, LUIZ F.; DA ROCHA, ROLDAO. Nucleons and higher spin baryon resonances: An AdS/QCD configurational entropic incursion. Physical Review D, v. 101, n. 10, . (17/18897-8)
DA ROCHA, ROLDAO. Minimal geometric deformation of Yang-Mills-Dirac stellar configurations. Physical Review D, v. 102, n. 2, . (17/18897-8)
FERREIRA-MARTINS, A. J.; MEERT, P.; DA ROCHA, R.. AdS(5)-Schwarzschild deformed black branes and hydrodynamic transport coefficients. Nuclear Physics B, v. 957, . (17/18897-8, 18/00570-5, 17/13046-0)
DA ROCHA, ROLDAO. Gravitational decoupling of generalized Horndeski hybrid stars. EUROPEAN PHYSICAL JOURNAL C, v. 82, n. 1, . (17/18897-8, 21/01089-1)
DA ROCHA, ROLDAO. MGD Dirac Stars. SYMMETRY-BASEL, v. 12, n. 4, . (17/18897-8)
BERNARDINI, A. E.; DA ROCHA, R.. Cosmological comoving behavior of the configurational entropy. Physics Letters B, v. 796, p. 107-111, . (18/03960-9, 17/18897-8)
DA ROCHA, ROLDAO. AdS graviton stars and differential configurational entropy. Physics Letters B, v. 823, . (17/18897-8)
DA ROCHA, ROLDAO. Gravitational decoupling and superfluid stars. EUROPEAN PHYSICAL JOURNAL C, v. 81, n. 9, . (17/18897-8, 21/01089-1)
HOFF DA SILVA, J. M.; BEGHETTO, D.; CAVALCANTI, R. T.; DA ROCHA, R.. Exotic fermionic fields and minimal length. EUROPEAN PHYSICAL JOURNAL C, v. 80, n. 8, . (17/18897-8)
DA ROCHA, ROLDAO; TOMAZ, ANDERSON A.. MGD-decoupled black holes, anisotropic fluids and holographic entanglement entropy. EUROPEAN PHYSICAL JOURNAL C, v. 80, n. 9, . (17/18897-8)
DA ROCHA, R.; TOMAZ, A. A.. Hearing the shape of inequivalent spin structures and exotic Dirac operators. Journal of Physics A-Mathematical and Theoretical, v. 53, n. 46, . (17/18897-8)
FERNANDES-SILVA, A.; FERREIRA-MARTINS, A. J.; DA ROCHA, R.. Extended quantum portrait of MGD black holes and information entropy. Physics Letters B, v. 791, p. 323-330, . (17/13046-0, 18/00570-5, 17/18897-8)
MEERT, P.; DA ROCHA, R.. The emergence of flagpole and flag-dipole fermions in fluid/gravity correspondence. EUROPEAN PHYSICAL JOURNAL C, v. 78, n. 12, . (17/18897-8)
DANTAS, D. M.; DA ROCHA, R.; ALMEIDA, C. A. S.. Monopoles on string-like models and the Coulomb's law. Physics Letters B, v. 782, p. 149-154, . (17/18897-8)
BARBOSA-CENDEJAS, N.; CARTAS-FUENTEVILLA, R.; HERRERA-AGUILAR, A.; MORA-LUNA, R. R.; DA ROCHA, R.. Dynamical tachyonic AdS/QCD and information entropy. Physics Letters B, v. 782, p. 607-612, . (17/18897-8)
FERREIRA-MARTINS, A. J.; MEERT, P.; DA ROCHA, R.. Deformed AdS(4)-Reissner-Nordstrom black branes and shear viscosity-to-entropy density ratio. EUROPEAN PHYSICAL JOURNAL C, v. 79, n. 8, . (17/18897-8, 18/00570-5, 17/13046-0)
LOPES, R.; DA ROCHA, R.. New spinor classes on the Graf-Clifford algebra. Journal of High Energy Physics, n. 8, . (17/18897-8)
FABBRI, LUCA; DA ROCHA, ROLDAO. Non-existence of rest-frame spin-eigenstate spinors in their own electrodynamics. EUROPEAN PHYSICAL JOURNAL C, v. 78, n. 5, . (17/18897-8)
FABBRI, LUCA; DA ROCHA, ROLDAO. Unveiling a spinor field classification with non-Abelian gauge symmetries. Physics Letters B, v. 780, p. 427-431, . (17/18897-8)
BRAGA, NELSON R. F.; DA ROCHA, ROLDAO. AdS/QCD duality and the quarkonia holographic information entropy. Physics Letters B, v. 776, p. 78-83, . (17/18897-8, 15/10270-0)
BERNARDINI, A. E.; DA ROCHA, R.. Informational entropic Regge trajectories of meson families in AdS/QCD. Physical Review D, v. 98, n. 12, . (17/18897-8, 18/03960-9)
FABBRI, LUCA; DA ROCHA, ROLDAO. Torsion axial vector and Yvon-Takabayashi angle: zitterbewegung, chirality and all that. EUROPEAN PHYSICAL JOURNAL C, v. 78, n. 3, . (17/18897-8)
BARBOSA-CENDEJAS, NANDINII; CARTAS-FUENTEVILLA, ROBERTO; HERRERA-AGUILAR, ALFREDO; RIGEL MORA-LUNA, REFUGIO; DA ROCHA, ROLDAO. A de Sitter tachyonic braneworld revisited. Journal of Cosmology and Astroparticle Physics, n. 1, . (17/18897-8, 15/10270-0)
DA ROCHA, R.; SOBREIRO, R. F.; TOMAZ, A. A.. Quadratic curvature terms and deformed Schwarzschild-de Sitter black hole analogues in the laboratory. Physics Letters B, v. 775, p. 277-282, . (17/18897-8, 15/10270-0)
BRAGA, NELSON R. F.; FERREIRA, LUIZ F.; DA ROCHA, ROLDAO. Thermal dissociation of heavy mesons and configurational entropy. Physics Letters B, v. 787, p. 16-22, . (17/18897-8)
BONORA, L.; HOFF DA SILVA, J. M.; DA ROCHA, R.. Opening the Pandora's box of quantum spinor fields. EUROPEAN PHYSICAL JOURNAL C, v. 78, n. 2, . (17/18897-8)
OVALLE, J.; CASADIO, R.; DA ROCHA, R.; SOTOMAYOR, A.. Anisotropic solutions by gravitational decoupling. EUROPEAN PHYSICAL JOURNAL C, v. 78, n. 2, . (17/18897-8)
LOPES, R.; DA ROCHA, R.. The Graf Product: A Clifford Structure Framework on the Exterior Bundle. Advances in Applied Clifford Algebras, v. 28, n. 3, . (17/18897-8)
DA SILVA, A. GONCALVES; DA ROCHA, ROLDAO. Information-entropic analysis of Korteweg-de Vries solitons in the quark-gluon plasma. Physics Letters B, v. 774, p. 98-102, . (17/18897-8, 15/10270-0)
KUNTZ, IBERE; DA ROCHA, ROLDAO. One-loop corrections to eta/s in AdS(4)/CFT3. Nuclear Physics B, v. 961, . (17/18897-8)
HOFF DA SILVA, J. M.; CAVALCANTI, R. T.; BEGHETTO, D.; DA ROCHA, R.. Spinor symmetries and underlying properties. EUROPEAN PHYSICAL JOURNAL C, v. 80, n. 2, . (17/18897-8)
MEERT, P.; DA ROCHA, R.. Probing the minimal geometric deformation with trace and Weyl anomalies. Nuclear Physics B, v. 967, . (21/01089-1, 17/18897-8)
KARAPETYAN, G.; DA ROCHA, R.. Configurational entropy of heavy-quark QCD exotica. EUROPEAN PHYSICAL JOURNAL PLUS, v. 136, n. 10, . (18/19943-6, 17/18897-8, 21/01089-1)
DA ROCHA, R.; TOMAZ, A. A.. Holographic entanglement entropy under the minimal geometric deformation and extensions. EUROPEAN PHYSICAL JOURNAL C, v. 79, n. 12, . (17/18897-8)
FERREIRA, LUIZ F.; DA ROCHA, R.. Tensor mesons, AdS/QCD and information. EUROPEAN PHYSICAL JOURNAL C, v. 80, n. 5, . (17/18897-8)
KUNTZ, IBERE; DA ROCHA, ROLDAO. GUP black hole remnants in quadratic gravity. EUROPEAN PHYSICAL JOURNAL C, v. 80, n. 5, . (17/18897-8)
DA ROCHA, R.. Information entropy in AdS/QCD: Mass spectroscopy of isovector mesons. Physical Review D, v. 103, n. 10, . (17/18897-8, 21/01089-1)
FERREIRA, LUIZ F.; DA ROCHA, R.. Pion family in AdS/QCD: The next generation from configurational entropy. Physical Review D, v. 99, n. 8, . (17/18897-8)
ARCODIA, MARCOS R. A.; BELLINI, MAURICIO; DA ROCHA, ROLDAO. The Heisenberg spinor field classification and its interplay with the Lounesto's classification. EUROPEAN PHYSICAL JOURNAL C, v. 79, n. 3, . (17/18897-8)
BERNARDINI, A. E.; DA ROCHA, R.. Phase-space quantum profile of Poschl-Teller two-level systems. EUROPEAN PHYSICAL JOURNAL PLUS, v. 134, n. 1, . (18/03960-9, 17/18897-8)

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