536 research outputs found
Quantization of maximally-charged slowly-moving black holes
We discuss the quantization of a system of slowly-moving extreme
Reissner-Nordstrom black holes. In the near-horizon limit, this system has been
shown to possess an SL(2,R) conformal symmetry. However, the Hamiltonian
appears to have no well-defined ground state. This problem can be circumvented
by a redefinition of the Hamiltonian due to de Alfaro, Fubini and Furlan (DFF).
We apply the Faddeev-Popov quantization procedure to show that the Hamiltonian
with no ground state corresponds to a gauge in which there is an obstruction at
the singularities of moduli space requiring a modification of the quantization
rules. The redefinition of the Hamiltonian a la DFF corresponds to a different
choice of gauge. The latter is a good gauge leading to standard quantization
rules. Thus, the DFF trick is a consequence of a standard gauge-fixing
procedure in the case of black hole scattering.Comment: Corrected errors in the gauge-fixing procedur
M-Horizons
We solve the Killing spinor equations and determine the near horizon
geometries of M-theory that preserve at least one supersymmetry. The M-horizon
spatial sections are 9-dimensional manifolds with a Spin(7) structure
restricted by geometric constraints which we give explicitly. We also provide
an alternative characterization of the solutions of the Killing spinor
equation, utilizing the compactness of the horizon section and the field
equations, by proving a Lichnerowicz type of theorem which implies that the
zero modes of a Dirac operator coupled to 4-form fluxes are Killing spinors. We
use this, and the maximum principle, to solve the field equations of the theory
for some special cases and present some examples.Comment: 36 pages, latex. Reference added, minor typos correcte
On the Bogomol'nyi bound in Einstein-Maxwell-dilaton gravity
It has been shown that the 4-dimensional Einstein-Maxwell-dilaton theory
allows a Bogomol'nyi-type inequality for an arbitrary dilaton coupling constant
, and that the bound is saturated if and only if the (asymptotically
flat) spacetime admits a nontrivial spinor satisfying the gravitino and the
dilatino Killing spinor equations. The present paper revisits this issue and
argues that the dilatino equation fails to ensure the dilaton field equation
unless the solution is purely electric/magnetic, or the dilaton coupling
constant is given by , corresponding to the
Brans-Dicke-Maxwell theory and the Kaluza-Klein reduction of 5-dimensional
vacuum gravity, respectively. A systematic classification of the supersymmetric
solutions reveals that the solution can be rotating if and only if the solution
is dyonic or the coupling constant is given by . This
implies that the theory with cannot be embedded into
supergravity except for the static truncation. Physical properties of
supersymmetric solutions are explored from various points of view.Comment: v2: 23 pages, typos corrected, minor modifications, to appear in CQ
How hairy can a black ring be?
It has been shown recently that there is a large class of supersymmetric
solutions of five-dimensional supergravity which generalize the supersymmetric
black ring solution of Elvang et al. This class involves arbitrary functions.
We show that most of these solutions do not have smooth event horizons, so they
do not provide examples of black objects with infinite amounts of "hair".Comment: 19 pages. v2: minor change
All supersymmetric solutions of minimal supergravity in six dimensions
A general form for all supersymmetric solutions of minimal supergravity in
six dimensions is obtained. Examples of new supersymmetric solutions are
presented. It is proven that the only maximally supersymmetric solutions are
flat space, AdS_3 x S^3 and a plane wave. As an application of the general
solution, it is shown that any supersymmetric solution with a compact horizon
must have near-horizon geometry R^{1,1} x T^4, R^{1,1} x K3 or identified AdS_3
x S^3.Comment: 40 pages. v2: two references adde
Black Strings, Black Rings and State-space Manifold
State-space geometry is considered, for diverse three and four parameter
non-spherical horizon rotating black brane configurations, in string theory and
-theory. We have explicitly examined the case of unit Kaluza-Klein momentum
black strings, circular strings, small black rings and black
supertubes. An investigation of the state-space pair correlation functions
shows that there exist two classes of brane statistical configurations, {\it
viz.}, the first category divulges a degenerate intrinsic equilibrium basis,
while the second yields a non-degenerate, curved, intrinsic Riemannian
geometry. Specifically, the solutions with finitely many branes expose that the
two charged rotating black strings and three charged rotating small
black rings consort real degenerate state-space manifolds. Interestingly,
arbitrary valued -dipole charged rotating circular strings and Maldacena
Strominger Witten black rings exhibit non-degenerate, positively curved,
comprehensively regular state-space configurations. Furthermore, the
state-space geometry of single bubbled rings admits a well-defined, positive
definite, everywhere regular and curved intrinsic Riemannian manifold; except
for the two finite values of conserved electric charge. We also discuss the
implication and potential significance of this work for the physics of black
holes in string theory.Comment: 41 pages, Keywords: Rotating Black Branes; Microscopic
Configurations; State-space Geometry, PACS numbers: 04.70.-s Physics of black
holes; 04.70.Bw Classical black holes; 04.70.Dy Quantum aspects of black
holes, evaporation, thermodynamic
Topology of supersymmetric N=1, D=4 supergravity horizons
All supersymmetric N=1, D=4 supergravity horizons have toroidal or spherical
topology, irrespective of whether the black hole preserves any supersymmetry.Comment: 17 pages, latex. Alterations to introduction and section 3.
A deformation of AdS_5 x S^5
We analyse a one parameter family of supersymmetric solutions of type IIB
supergravity that includes AdS_5 x S^5. For small values of the parameter the
solutions are causally well-behaved, but beyond a critical value closed
timelike curves (CTC's) appear. The solutions are holographically dual to N=4
supersymmetric Yang-Mills theory on a non-conformally flat background with
non-vanishing R-currents. We compute the holographic energy-momentum tensor for
the spacetime and show that it remains finite even when the CTC's appear. The
solutions, as well as the uplift of some recently discovered AdS_5 black hole
solutions, are shown to preserve precisely two supersymmetries.Comment: 16 pages, v2: typos corrected and references adde
Black Rings in Taub-NUT
We construct the most generic three-charge, three-dipole-charge, BPS
black-ring solutions in a Taub-NUT background. These solutions depend on seven
charges and six moduli, and interpolate between a four-dimensional black hole
and a five-dimensional black ring. They are also instrumental in determining
the correct microscopic description of the five-dimensional BPS black rings.Comment: 16 pages, harvma
Kahler Potential for M-theory on a G_2 Manifold
We compute the moduli Kahler potential for M-theory on a compact manifold of
G_2 holonomy in a large radius approximation. Our method relies on an explicit
G_2 structure with small torsion, its periods and the calculation of the
approximate volume of the manifold. As a verification of our result, some of
the components of the Kahler metric are computed directly by integration over
harmonic forms. We also discuss the modification of our result in the presence
of co-dimension four singularities and derive the gauge-kinetic functions for
the massless gauge fields that arise in this case.Comment: 31 pages, Latex. Altered discussion of truncation of field content,
some typos corrected and references added. Version to appear in Phys. Rev .
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