Imperial/TP/2011/JG/04 Spectral function of the supersymmetry current

We continue our study of the retarded Green’s function of the universal fermionic supersymmetry current (“supercurrent”) for the most general class of d = 3 N = 2 SCFTs with D = 10 or D = 11 supergravity du-als by studying the propagation of the Dirac gravitino in the electrically charged AdS-Reissner-Nordström black-brane background of N = 2 min-imal gauged supergravity in D = 4. We expand upon results presented in a companion paper, including the absence of a Fermi surface and the ap-pearance of a soft power-law gap at zero temperature. We also present the analytic solution of the gravitino equation in the AdS2 × R2 background which arises as the near-horizon limit at zero temperature. In addition we determine the quasinormal mode spectrum. ar X i