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Applications of the AdS/CMT correspondence

Grant number: 13/00140-7
Support Opportunities:Scholarships in Brazil - Doctorate
Effective date (Start): May 01, 2013
Effective date (End): November 30, 2017
Field of knowledge:Physical Sciences and Mathematics - Physics - Elementary Particle Physics and Fields
Principal Investigator:Horatiu Stefan Nastase
Grantee:Prieslei Estefanio Dominik Goulart Santos
Host Institution: Instituto de Física Teórica (IFT). Universidade Estadual Paulista (UNESP). Campus de São Paulo. São Paulo , SP, Brazil
Associated scholarship(s):15/17441-5 - Holographic superconductors and black holes, BE.EP.DR


The AdS/CFT correspondence relates a gravitational theory in $AdS_{d+1}$ to a conformal field theory on its flat d-dimensional boundary, anda quasi-phenomenological approach was used to apply it to condensed matter systems. An abelian reduction of the ABJM model can be used to betterdefine the duality and one can study the relation between the resulting LG model and the original ABJM model. Theories with scalars around thehorizon of charged AdS black holes superconduct and have interesting transport properties. The horizon of $AdS_4$ black holes can be mapped toa fluid and one can study this correspondence for the case of the duality to the ABJM model. We will also study the possibility of obtaining2+1 dimensional Lifshitz points and points with Schr\"{o}dinger symmetry from limits of gravity duals.

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Scientific publications
(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)
ERDMENGER, JOHANNA; FERNANDEZ, DANIEL; GOULART, PRIESLEI; WITKOWSI, PIOTR. Conductivities from attractors. Journal of High Energy Physics, n. 3, . (15/17441-5, 13/00140-7)
GOULART, PRIESLEI. Dyonic AdS(4) black hole entropy and attractors via entropy function. Journal of High Energy Physics, n. 9, . (15/17441-5, 13/00140-7)
GOULART, PRIESLEI. Phantom wormholes in Einstein-Maxwell-dilaton theory. Classical and Quantum Gravity, v. 35, n. 2, . (13/00140-7)
Academic Publications
(References retrieved automatically from State of São Paulo Research Institutions)
SANTOS, Prieslei Estefanio Dominik Goulart. Einstein-Maxwell-dilaton theory: Black holes, wormholes, and applications to AdS/CMT. 2017. Doctoral Thesis - Universidade Estadual Paulista (Unesp). Instituto de Física Teórica (IFT). São Paulo São Paulo.

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