Holographic torsion and the prelude to kalb-ramond superconductivity

Abstract

We discuss the holographic implications of torsional degrees of freedom in the context of AdS4/CFT3 emphasizing in particular the physical interpretation of the latter as carriers of the non-trivial gravitational magnetic field, i.e. the part of the magnetic field not determined by the frame field. As a concrete example we present a new exact four-dimensional gravitational background with torsion and argue that it corresponds to the holographic dual of a 3D system undergoing parity symmetry breaking. Finally, we compare our new gravitational background with known wormhole solutions-with and without cosmological constant-and argue that they can all be unified under an intriguing "Kalb-Ramond superconductivity" framework. © 2011 Springer-Verlag Berlin Heidelberg.