The paper claims a spectral gap in the ABJM dual of a 4d four-charge black brane arising from non-commuting limits, and reports an AdS3/BTZ sector after uplift, but the promised Green's function analysis is absent.
Absence of a Fermi surface in classical minimal four-dimensional gauged supergravity
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abstract
We demonstrate that the two point function of the supercurrent dual to the gravitino in the four-dimensional extremal anti-de Sitter Reissner-Nordstrom black hole does not exhibit a Fermi surface singularity. In our analysis, we utilize the ingoing Eddington-Finkelstein coordinate system, which enables us to bypass certain complications in the determination of the allowed near horizon behavior of the gravitino field at zero frequency. We check that our method agrees with previous results for the massless charged Dirac field.
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The spectral gap of the ABJM model: A holographic perspective from uplifted higher-dimensional geometries
The paper claims a spectral gap in the ABJM dual of a 4d four-charge black brane arising from non-commuting limits, and reports an AdS3/BTZ sector after uplift, but the promised Green's function analysis is absent.