In this subsection, I briefly mention some work in this direction concerning large supersymmetric
AdS_{5} × S^{5} black holes, deconstructions of supersymmetric asymptotically-flat black holes in terms of
constituent excitations living at the horizon of these black holes and constituent models for extremal static
non-BPS black holes.

All these configurations have interest on their own, given their supersymmetry and the conserved
charges they carry, but further evidence is required to interpret them as bulk black hole constituents. This
task was undertaken in [456]. Instead of working in the vacuum, these authors studied the spectrum of
classical supersymmetric (dual) giant gravitons in the near horizon geometries of these black holes in [457],
following similar reasonings for asymptotically-flat black holes [174]. The partial quantisation of this
classical moduli space [456] is potentially consistent with the identification of dual giants as the
constituents of these black holes, but this remains an open question. In the same spirit, [22] quantised the
moduli space of the wobbling dual giants, 1/8 BPS configurations with two angular momentum in AdS_{5}
and one in S^{5} and agreement was found with the gauge theory index calculations carried out
in [341].

There have also been more purely field theoretical approaches to this problem. In [250], cohomological
methods were used to count operators preserving 1/16 of the supersymmetries in SYM,
whereas in [97] explicit operators were written down, based on Fermi surface filling fermions models and
working in the limit of large angular momentum in AdS_{5}. These attempted to identify the pure states
responsible for the entropy of the black hole and their counting agreed, up to order one coefficients, with the
Hawking–Bekenstein classical entropy.

This idea of deconstructing a given black hole in terms of maximally entropic configurations of constituent
objects^{42}
was tested for the standard D0-D4 black hole in [174]. The black hole was deconstructed in terms of
and branes with world volume fluxes turned on, inducing further D4-D2-D0 charges, and a large set of
D0-branes. Working in a regime of charges where the distance between centres scales to zero, i.e., the scaling
solution, all D0-branes become equidistant to the D6-branes, forming some sort of accretion disk and
the geometry deep inside this ring of D0-branes becomes that of global AdS_{3} × S^{2}, when
lifting the configuration to M-theory. Using the microscopic picture developed in [219], where
it was argued that the entropy of this black hole came from the degeneracy of states due to
non-abelian D0-branes that expand into D2-branes due to the Myers’ effect [395], the authors
in [174] manage to extend the near horizon wrapping M2-branes found in [455] to M2-branes
wrapping supersymmetric cycles of the full geometry. It was then argued that the same counting
done [219], based on the degeneracy of the lowest Landau level quantum mechanics problem
emerging from the effective magnetic field on the transverse Calabi–Yau due to the coupling
of the D2-D0 bound states to the background RR 4-form field strength, would apply in this
case.

The same kind of construction and logic was applied to black rings [206, 199] in [239]. Further work on stable brane configurations in the near horizon on brane backgrounds can be found in [130].

Living Rev. Relativity 15, (2012), 3
http://www.livingreviews.org/lrr-2012-3 |
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