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AdS/CFT and toy models for phenomenological holographic cosmology

Grant number: 22/15566-9
Support Opportunities:Scholarships in Brazil - Master
Effective date (Start): March 01, 2023
Effective date (End): February 28, 2025
Field of knowledge:Physical Sciences and Mathematics - Physics - Elementary Particle Physics and Fields
Principal Investigator:Horatiu Stefan Nastase
Grantee:Juliana Zanatta Finotti
Host Institution: Instituto de Física Teórica (IFT). Universidade Estadual Paulista (UNESP). Campus de São Paulo. São Paulo , SP, Brazil
Associated research grant:19/21281-4 - Gauge / gravity duality, AP.TEM

Abstract

The AdS/CFT correspondence and its generalization, gauge/gravity duality, relates holographically a gravitational theory in a background spacetime to a field theory living at the boundary of its space. But it can be applied also to cosmology, in the strong coupling gravity regime, being dual to a 3-dimensional perturbative field theory. The example was started by therelation $\Psi(\Phi)=Z(\Phi)$ proposed by Maldacena. A phenomenological holographic approach, by McFadden and Skenderis, gives results matching the CMBR data and explaining the standard issues of Big Bang cosmology as well as the standard $\Lambda$-CDM plus inflation. Recently, even simple 3-dimensional scalar field toy models were shown to reasonably match the CMBR data. We will study the relation between the two, and to a D2-brane toy model of holographic cosmology.

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