Universality of Holographic Phase Transitions and Holographic Quantum Liquids
arXiv:0911.0075
Abstract
We explore the phase structure for defect theories in full generality using the gauge/gravity correspondence. On the gravity side, the systems are constructed by introducing M (probe) D(p+4-2k)-branes in a background generated by N Dp-branes to obtain a codimension-k intersection. The dual gauge theory is a U(N) Supersymmetric Yang-Mills theory on a (1+p-k)-dimensional defect with both adjoint and fundamental degrees of freedom. We focus on the phase structure in the chemical potential versus temperature plane. We observe the existence of two universality classes for holographic gauge theories, which are identified by the order of the phase transition in the interior of the chemical potential/temperature plane. Specifically, all the sensible systems with no defect show a third order phase transition. Gauge theories on a defect with (p-1)-spatial directions are instead characterised by a second order phase transition. One can therefore state that the order of this phase transition is intimately related to the codimensionality of the defect. We also discuss the massless hypermultiplet at low temperature, where a thermodynamical instability seems to appear for . Finally, we comment on such an instability.
42 pages, 3 figures
References in corpus (14)
- Holographic Phase Transitions with Fundamental Matter
- Fractional Quantum Hall Effect via Holography: Chern-Simons, Edge States, and Hierarchy
- Superconductivity from gauge/gravity duality with flavor
- Zero Sound from Holography
- Gravity Dual of a Quantum Hall Plateau Transition
- Transport Properties of Holographic Defects
- A Topology-Changing Phase Transition and the Dynamics of Flavour
- Holographic Responses of Fermion Matter
- Comments on Fermi Liquid from Holography
- D3/D7 holographic Gauge theory and Chemical potential
- Meson widths from string worldsheet instantons
- Condensed matter physics of a strongly coupled gauge theory with quarks: some novel features of the phase diagram
- A Note on Holographic Renormalization of Probe D-Branes
- Holographic Dual of QCD from Black D5 Branes