51 research outputs found
Three Body Interactions, Angular Momentum and Black Hole Moduli Spaces
We investigate the dynamics of a pair of (4+1)-dimensional black holes in the
moduli approximation and with fixed angular momentum. We find that spinning
black holes at small separations are described by the de Alfaro, Fubini and
Furlan model. For more than two black holes, we find an explicit expression for
the three-body interactions in the moduli metric by associating them with the
one-loop three-point amplitude of a four-dimensional theory. We also
investigate the dynamics of a three black hole system in various
approximations.Comment: 20 pages, phyzz
Superconformal Black Hole Quantum Mechanics
In recent work, the superconformal quantum mechanics describing D0 branes in
the AdS_2xS^2xCY_3 attractor geometry of a Calabi-Yau black hole with D4 brane
charges p^A has been constructed and found to contain a large degeneracy of
chiral primary bound states. In this paper it is shown that the asymptotic
growth of chiral primaries for N D0 branes exactly matches the
Bekenstein-Hawking area law for a black hole with D4 brane charge p^A and D0
brane charge N. This large degeneracy arises from D0 branes in lowest Landau
levels which tile the CY_3xS^2 horizon. It is conjectured that such a multi-D0
brane CFT1 is holographically dual to IIA string theory on AdS_2xS^2xCY_3.Comment: 8 page
Superconformal Quantum Mechanics of Small Black Holes
Recently, Gaiotto, Strominger and Yin have proposed a holographic dual
description for the near-horizon physics of certain N=2 black holes in terms of
the superconformal quantum mechanics on D0-branes in the attractor geometry. We
provide further evidence for their proposal by applying it to the case of
`small' black holes which have vanishing horizon area in the leading
supergravity approximation. We consider 2-charge black holes in type IIA on
, where can be either or , made up out of
D0-branes and D4-branes wrapping . We construct the corresponding
superconformal quantum mechanics and show that the asymptotic growth of chiral
primaries exactly matches with the known entropy of these black holes. The
state-counting problem reduces to counting lowest Landau levels on and
Dolbeault cohomology classes on .Comment: Latex, 16 pages; v2: minor corrections, references added, published
versio
Superconformal Multi-Black Hole Moduli Spaces in Four Dimensions
Quantum mechanics on the moduli space of N supersymmetric Reissner-Nordstrom
black holes is shown to admit 4 supersymmetries using an unconventional
supermultiplet which contains 3N bosons and 4N fermions. A near-horizon limit
is found in which the quantum mechanics of widely separated black holes
decouples from that of strongly-interacting, near-coincident black holes. This
near-horizon theory is shown to have an enhanced D(2,1;0) superconformal
symmetry. The bosonic symmetries are SL(2,R) conformal symmetry and SU(2)xSU(2)
R-symmetry arising from spatial rotations and the R-symmetry of N=2
supergravity.Comment: 23 pages, harvmac. v2: many typos fixe
D0-branes in Black Hole Attractors
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_2xS^2xCY
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
cycles. An SU(1,1|2) superconformal quantum mechanics describing D0-branes in
the attractor geometry is explicitly constructed.Comment: 27 page
AdS Taub-Nut Space and the O(N) Vector Model on a Squashed 3-Sphere
In this note, motivated by the Klebanov-Polyakov conjecture we investigate
the strongly coupled O(N) vector model at large on a squashed three-sphere
and its holographic relation to bulk gravity on asymptotically locally
spaces. We present analytical results for the action of the field theory as the
squashing parameter , when the boundary becomes effectively one
dimensional. The dual bulk geometry is AdS-Taub-NUT space in the corresponding
limit. In this limit we solve the theory exactly and show that the action of
the strongly coupled boundary theory scales as .
This result is remarkably close to the scaling of the
Einstein gravity action for AdS-Taub-NUT space. These results explain the
numerical agreement presented in hep-th/0503238, and the soft logarithmic
departure is interpreted as a prediction for the contribution due to higher
spin fields in the bulk geometry.Comment: 11 pages, 3 figures. References adde
A Matrix Model for AdS2
A matrix quantum mechanics with potential and an SL(2,R)
conformal symmetry is conjectured to be dual to two-dimensional type 0A string
theory on AdS with units of RR flux.Comment: 12 page
Basic Twist Quantization of osp(1|2) and kappa-- Deformation of D=1 Superconformal Mechanics
The twisting function describing a nonstandard (super-Jordanian) quantum
deformation of is given in explicite closed form. The quantum
coproducts and universal R-matrix are presented. The non-uniqueness of the
twisting function as well as two real forms of the deformed
superalgebras are considered. One real quantum superalgebra is
interpreted as describing the -deformation of D=1, N=1 superconformal
algebra, which can be applied as a symmetry algebra of N=1 superconformal
mechanics.Comment: 13 pages,LaTeX, v2. References added, typos correcte
N=4 superconformal mechanics as a Non linear Realization
An action for a superconformal particle is constructed using the non linear
realization method for the group PSU(1,1|2), without introducing superfields.
The connection between PSU(1,1|2) and black hole physics is discussed. The
lagrangian contains six arbitrary constants and describes a non-BPS
superconformal particle. The BPS case is obtained if a precise relation between
the constants in the lagrangian is verified, which implies that the action
becomes kappa-symmetric.Comment: new subection, references added and new acknowledgment
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