Strongly-coupled systems in gauge/gravity duality

Abstract : As an introduction, we present the original formulation of the AdS/CFT correspondence, between N = 4 Super Yang-Mills theory with gauge group SU(N) and type IIB string theory on AdS5 x S5. In a first part, we show how the ingredients of the AdS/CFT correspondence can be applied in a phenomenological way to study strongly correlated systems of fermions and present two fundamental models, the electron star and the holographic superconductor. We construct a holographic model for the study of Bose-Fermi systems at finite density and show that the simultaneous presence of bosonic and fermionic degrees of freedom is favoured at zero temperature. By solving the field equation of a probe spinor field in these solutions, we show that the system admits a large number of electron-like and/or hole-like Fermi surfaces and a charged scalar condensate. In a second part, we study asymptotically-AdS4 BPS black hole solutions in the N = 2 gauged supergravity theory. Using the duality transformations in a simple STU model, we find new static and rotating BPS black hole solutions.
Complete list of metadatas

Cited literature [14 references]  Display  Hide  Download

https://tel.archives-ouvertes.fr/tel-01080613
Contributor : Abes Star <>
Submitted on : Wednesday, November 5, 2014 - 4:41:32 PM
Last modification on : Friday, March 22, 2019 - 1:30:34 AM
Long-term archiving on : Friday, February 6, 2015 - 10:45:37 AM

File

these_archivage_3158997opti.pd...
Version validated by the jury (STAR)

Identifiers

  • HAL Id : tel-01080613, version 1

Citation

Thomas Vanel. Strongly-coupled systems in gauge/gravity duality. Galactic Astrophysics [astro-ph.GA]. Université Pierre et Marie Curie - Paris VI, 2014. English. ⟨NNT : 2014PA066188⟩. ⟨tel-01080613⟩

Share

Metrics

Record views

661

Files downloads

517