Anisotropic gauge theories at finite charge density
Summary
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.