Flavor superconductivity from gauge/gravity duality

By M. Ammon, Johanna Erdmenger, M. Kaminski, Patrick Kerner. 2009

154 citations recorded by the source corpus.

We give a detailed account and extensions of a holographic flavor supercon- ductivity model which we have proposed recently. The model has an explicit field theory realization as strongly coupled N = 2 Super Yang-Mills theory with fundamental matter at finite temperature and finite isospin chemical potential. Using gauge/gravity duality, i.e. a probe of two flavor D7-branes in the AdS black hole background, we show that the system undergoes a second order phase transition with critical exponent 1/2. The new ground state may be interpreted as a ρ meson superfluid. It shows signatures known from superconductivity, such as an infinite dc conductivity and a gap in the frequency-dependent conductivity. We present a stringy picture of the condensation mechanism in terms of a recombination of strings. We give a detailed account of the evaluation of the non-Abelian Dirac-Born-Infeld action involved using two different methods. Finally we also consider the case of massive flavors and discuss the holographic Meissner-Ochsenfeld effect in our scenario.

Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/3b1d68cce49f7e251f1543874e143746eeb8a7a4

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Citations in the corpus

Introduction to holographic superconductor models (2015, background): “[87, 88, 89] by embedding a probe of two coincident D7-branes in the AdS black hole background.”
A general class of holographic superconductors (2009, background): “(2)Other interesting realizations of holographic superconductors have been introduced in [11, 12, 13, 14, 15, 16, 17, 18].”
Analytical study on holographic superconductors in external magnetic field (2010, background): “This study has been further extended by investigating how the condensate behaves when the external magnetic field is added to the system [7–13], where the spatially dependent Maxwell sectors have to be considered in the full solutions.”
On Holographic p-wave Superfluids with Back-reaction (2009, background): “One string theory realization of SU(2) gauge fields in AdS space is type IIB supergravity in (4 + 1)-dimensional AdS space (times a five-sphere) plus two coincident D7-branes that provide the SU(2) gauge fields [20, 21, 22, 23].”
Probe branes, time-dependent couplings and thermalization in AdS/CFT (2010, methodology): “Such probe branes [44, 45] have been used to model flavor physics [46–53] and quantum critical phenomena : this ”top-down” approach [54–61] is complementary to the ”bottom-up” approach involving the physics of charged black holes in AdS [21, 22, 62–65].”
Thermodynamics and instabilities of a strongly coupled anisotropic plasma (2011, background): “Previous holographic studies of anisotropic plasmas include solutions dual to non-commutative SYM theories at finite temperature [10, 11, 12, 13, 14], gravity duals of p-wave superconductors[15, 16, 17, 18, 19, 20, 21], solutions dual to N = 4 SYM theory coupled to electromagnetic fields with [22, 2”