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.
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Submitted on : Wednesday, November 5, 2014 - 4:41:32 PM
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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⟩



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