D0-branes in black hole attractors

Abstract

Configurations of N probe D0-branes in a Calabi-Yau black hole are studied. A large degeneracy of near-horizon bound states are found which can be described as lowest Landau levels tiling the horizon of the black hole. These states preserve some of the enhanced supersymmetry of the near-horizon AdS 2 × S 2 × CY 3 attractor geometry, but not of the full asymptotically flat solution. Supersymmetric non-abelian configurations are constructed which, via the Myers effect, develop charges associated with higher-dimensional branes wrapping CY 3 cycles. An SU (1, 1|2) superconformal quantum mechanics describing D0-branes in the attractor geometry is explicitly constructed.

At the horizon of a supersymmetricAdS5black hole: Isometries and half-BPS giants

“…Following Strominger et al [8,9] one can ask what is the holographically dual conformal quantum mechanics of the string theory in the near-horizon geometry of the Gutowski-Reall black holes considered here. Our superisometries should be an important input in constructing the Lagrangian for such a quantum mechanics.…”

“…which may be written as [24] 8) in terms of the electric charge and angular momentum of the black hole. Here N 2 = πl 3 2G .…”

“…Therefore, the Bekenstein-Hawking-Wald entropy should also be related to a certain number of appropriate BPS states in the attractor geometry or those in the holographically dual quantum mechanics. This program has been demonstrated successfully in the context of 4-dimensional extremal black holes in [8,9] (see also [10] and [11]). For the supersymmetric AdS 5 black holes of [1,2] , one expects two complementary approaches to count the microstates as well: (1) count the BPS states with the right charges in the AdS 5 × S 5 background, (2) count an appropriate set of BPS states in the nearhorizon geometry.…”

The elliptic genus from split flows and Donaldson-Thomas invariants

“…As mentioned in the introduction, scaling solutions are multicentered black holes with two (or more) centers lying so close together in spacetime, that their throats have melted together in the supergravity description. These were at the core of the deconstruction of a D4-D0 black hole in [4] which might be a next step towards understanding the CFT dual of an asymptotically AdS 2 black hole ( [10], [11]). …”

Hair-brane ideas on the horizon

“…It suggests that the horizon of the BPS black hole in the M-theory duality frame is coated with a condensate of M2-branes that wrap the cycles ∆ ab , reminiscent of the analysis of [44,45], though the details here are rather different. 5 Similarly, in the type IIB frame, it seems that D3-branes wrap the horizon.…”