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Supergravity Spectrum of AdS$_5$ Black Holes
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abstract
We embed Kerr-Newman-AdS black holes into $\mathcal{N} = 8$ gauged supergravity and study quadratic fluctuations around the black hole backgrounds of all fields in the larger theory. The equations of motion of the perturbations are partially diagonalized by the group theory of broken symmetry. Nearly all fields in theory have non-minimal couplings, so their equations of motion are not merely massive Klein-Gordon equations with minimal coupling to background gauge fields, and their analogues for fields with spin. In the special case of extremal black holes we identify specific modes of instability, some of which touch supersymmetric locus. For example, we identify scalar fields in supergravity that condense in the near horizon region and transition the black hole into a superconducting phase. We also identify supergravity modes that are susceptible to superradiant instability
Forward citations
Cited by 2 Pith papers
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Kaluza-Klein Perturbation Theory from Exceptional Field Theory
E6(6) ExFT yields gauge-invariant first-order KK fluctuation equations and a homotopy-transfer Higgs mechanism, applied partly to Kerr-Newman AdS5 near-horizon stability.
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Instability of Black Holes in AdS$_3 \times S^3$
Near-extremal AdS3 x S3 black holes are thermodynamically and dynamically unstable, decaying to a central black hole plus chiral primaries or new macroscopic giant strings.
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