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- Sean A Hartnoll, Christopher P Herzog, Gary T Horowitz
- Physical review letters
- 2008

We show that a simple gravitational theory can provide a holographically dual description of a superconductor. There is a critical temperature, below which a charged condensate forms via a second order phase transition and the (dc) conductivity becomes infinite. The frequency dependent conductivity develops a gap determined by the condensate. We find… (More)

We show that the E − S ∼ log S behaviour found for long strings rotating on AdS 5 × S 5 may be reproduced by membranes rotating on AdS 4 × S 7 and on a warped AdS 5 M-theory solution. We go on to obtain rotating membrane configurations with the same E − K ∼ log K relation on G 2 holonomy backgrounds that are dual to N = 1 gauge theories in four dimensions.… (More)

We study the expectation value of a Polyakov-Maldacena loop that wraps the thermal circle k times in strongly coupled N = 4 super Yang-Mills theory. This is achieved by considering probe D3 and D5 brane embeddings in the dual black hole geometry. In contrast to multiply wound spatial Wilson loops, nontrivial dependence on k is captured through D5 branes. We… (More)

- Sean A. Hartnoll
- 2006

We present results for Wilson loops in strongly coupled gauge theories. The loops may be taken around an arbitrarily shaped contour and in any field theory with a dual IIB geometry of the form M × S 5. No assumptions about super-symmetry are made. The first result uses D5 branes to show how the loop in any antisymmetric representation is computed in terms… (More)

- Sean A. Hartnoll
- 2009

These notes are loosely based on lectures given and to be given at the CERN Win-I have focused on a few concrete topics and also on addressing questions that have arisen repeatedly. Background condensed matter physics material is included as motivation and easy reference for the high energy physics community. The discussion of holographic techniques… (More)

A class of strongly interacting 2+1 dimensional conformal field theories in a transverse magnetic field can be studied using the AdS/CFT duality. We compute zero momentum hydrodynamic response functions of maximally supersymmetric 2+1 dimensional SU (N) Yang-Mills theory at the conformal fixed point, in the large N limit. With background magnetic field B… (More)

We calculate the electrical and thermal conductivities and the thermoelectric coefficient of a class of strongly interacting 2+1 dimensional conformal field theories with anti-de Sitter space duals. We obtain these transport coefficients as a function of charge density, background magnetic field, temperature and frequency. We show that the thermal… (More)

We initiate a holographic model building approach to 'strange metallic' phe-nomenology. Our model couples a neutral Lifshitz-invariant quantum critical theory , dual to a bulk gravitational background, to a finite density of gapped probe charge carriers, dually described by D-branes. In the physical regime of temperature much lower than the charge density… (More)

- Sean A. Hartnoll
- 2004

We find explicit probe D3-brane solutions in the infrared of the Maldacena-Nuñez background. The solutions describe deformed baryon vertices: q external quarks are separated in spacetime from the remaining N − q. As the separation is taken to infinity we recover known solutions describing infinite confining strings in N = 1 gauge theory. We present results… (More)

We explore a classical instability of spacetimes of dimension D > 4. Firstly, we consider static solutions: generalised black holes and brane world metrics. The dangerous mode is a tensor mode on an Einstein base manifold of dimension D − 2. A criterion for instability is found for the generalised Schwarzschild, AdS-Schwarzschild and topological black hole… (More)