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Holographic superconductors and black holes

Grant number: 15/17441-5
Support type:Scholarships abroad - Research Internship - Doctorate
Effective date (Start): October 01, 2015
Effective date (End): September 30, 2016
Field of knowledge:Physical Sciences and Mathematics - Physics
Principal Investigator:Horatiu Stefan Nastase
Grantee:Prieslei Estefanio Dominik Goulart Santos
Supervisor abroad: Erdmenger, Johanna Karen
Home Institution: Instituto de Física Teórica (IFT). Universidade Estadual Paulista (UNESP). Campus de São Paulo. São Paulo , SP, Brazil
Local de pesquisa : Max Planck Society, Munich, Germany  
Associated to the scholarship:13/00140-7 - Applications of the AdS/CMT correspondence, BP.DR


The AdS/CFT correspondence relates a gravitational theory in AdS_{d+1} to a conformal field theory on its flat d-dimensional boundary, and a quasi-phenomenological approach was used to apply it to condensed matter systems. One application involves the holographic superconductivity. In order to describe a superconductor one needs a notion of temperature and a condensate. On the gravity side, these properties are achieved with the introduction of black holes with non-trivial scalar hair, which present also interesting transport properties. We plan to study such duality for the massive ABJM model, its transport properties, and explore the possible modifications of the gravity dual models. We plan to study the effect of the abelian reduction of the ABJM model on its gravity dual, as well as the relation between the resulting LG model and the original ABJM model. Also, the horizon of AdS_4 black holes can be mapped to a fluid, and one can study this correspondence for the case of the duality to the ABJM model.

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 MAR 28 2017. Web of Science Citations: 4.
GOULART, PRIESLEI. Dyonic AdS(4) black hole entropy and attractors via entropy function. Journal of High Energy Physics, n. 9 SEP 1 2016. Web of Science Citations: 1.

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