Anisotropic gauge theories at finite charge density

Abstract

We set up a non-pertrurbative study of anisotropic, charged and scale invariant gauge theories by means of the AdS/CFT correspondence. The gravitational dual theory is realised by the Einstein-Maxwell-Axion-Dilaton, which accounts for the spatial anisotropy and charge density of the gauge theory. In the vacuum the solutions describe RG ����ows from a conformal theory in the UV to generic scaling solutions in the IR with Lifshitz scaling and hyperscaling violation. We work out a generalization of the holographic c-theorem to the anisotropic charged case given by the null energy condition, constraining the parameters of the 5d metric. At ����nite temperature, we analyse the blackening factor and temperature in the strongly coupled IR regime. Finally, we study the thermodynamic stability of the black brane concluding the existence of a single stable IR geometry.