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arxiv: 1108.1205 · v3 · pith:VH2CMPW3new · submitted 2011-08-04 · ✦ hep-th

Spectral function of the supersymmetry current

classification ✦ hep-th
keywords backgroundcurrentfunctiongravitinosupergravitysupersymmetrytemperaturezero
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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 duals by studying the propagation of the Dirac gravitino in the electrically charged AdS-Reissner-Nordstr\"om black-brane background of N=2 minimal gauged supergravity in D=4. We expand upon results presented in a companion paper, including the absence of a Fermi surface and the appearance of a soft power-law gap at zero temperature. We also present the analytic solution of the gravitino equation in the AdS_2 X R^2 background which arises as the near-horizon limit at zero temperature. In addition we determine the quasinormal mode spectrum.

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