1212.1960 (Bin Chen et al.)

Electromagnetic Duality in Dyonic RN/CFT Correspondence    [PDF]

Bin Chen, Jia-ju Zhang

Four-dimensional dyonic Reissner-Nordstr\"om (RN) black hole is a solution of Einstein-Maxwell theory, which carries electromagnetic duality. It could be described holographically by two-dimensional conformal field theory (CFT) duals. By using the thermodynamics method, we identify two elementary CFT dual pictures, the electric one and the magnetic one, for the dyonic RN black hole. Moreover, we find that there are more general CFT dual pictures, generated by the $SL(2,Z)$ transformations acting on two elementary pictures. We show that this $SL(2,Z)$ symmetry is exactly the electromagnetic duality of the Einstein-Maxwell theory.

View original: http://arxiv.org/abs/1212.1960