540 research outputs found
On the smoothness of the multi-BMPV black hole spacetime
We demonstrate that, in a multi-BMPV black hole spacetime, the event horizon
is not smooth. We explicitly show that for a simpler configuration comprising a
line of static extremal black holes and a single BMPV black hole, the metric at
the horizon of the BMPV black hole is once, but not twice, continuously
differentiable. We argue that this result is also valid when all the black
holes are rotating. The Maxwell field strength is shown to be continuous, but
not differentiable at the horizon. We also briefly demonstrate that previous
work done to show lack of smoothness of static multi-centre solutions in five
dimensions is not significantly modified by the inclusion of a higher
derivative term in the action for five dimensional supergravity.Comment: 17 pages; reference adde
General Concentric Black Rings
Supersymmetric black ring solutions of five dimensional supergravity coupled
to an arbitrary number of vector multiplets are constructed. The solutions are
asymptotically flat and describe configurations of concentric black rings which
have regular horizons with topology and no closed time-like
curves at the horizons.Comment: 8 pages, minor alterations, typos corrected. Version to be published
in PR
Marginal Deformations of Field Theories with AdS_4 Duals
We generate new AdS_4 solutions of D=11 supergravity starting from AdS_4 x
X_7 solutions where X_7 has U(1)^3 isometry. We consider examples where X_7 is
weak G_2, Sasaki-Einstein or tri-Sasakian, corresponding to d=3 SCFTs with
N=1,2 or 3 supersymmetry, respectively, and where the deformed solutions
preserve N=1,2 or 1 supersymmetry, respectively. For the special cases when X_7
is M(3,2), Q(1,1,1) or N(1,1)_I we identify the exactly marginal deformation in
the dual field theory. We also show that the volume of supersymmetric 5-cycles
of N(1,1)_I agrees with the conformal dimension predicted by the baryons of the
dual field theory.Comment: 28 pages, 2 figures; v2. typos correcte
BPS states of D=4 N=1 supersymmetry
We find the combinations of momentum and domain-wall charges corresponding to
BPS states preserving 1/4, 1/2 or 3/4 of D=4 N=1 supersymmetry, and we show how
the supersymmetry algebra implies their stability. These states form the
boundary of the convex cone associated with the Jordan algebra of
real symmetric matrices, and we explore some implications of the associated
geometry. For the Wess-Zumino model we derive the conditions for preservation
of 1/4 supersymmetry when one of two parallel domain-walls is rotated and in
addition show that this model does not admit any classical configurations with
3/4 supersymmetry. Our analysis also provides information about BPS states of
N=1 D=4 anti-de Sitter supersymmetry.Comment: Latex, 27 pages. Various corrections and improvements including an
expanded discussion on BPS states in ad
New Einstein-Sasaki and Einstein Spaces from Kerr-de Sitter
In this paper, which is an elaboration of our results in hep-th/0504225, we
construct new Einstein-Sasaki spaces L^{p,q,r_1,...,r_{n-1}} in all odd
dimensions D=2n+1\ge 5. They arise by taking certain BPS limits of the
Euclideanised Kerr-de Sitter metrics. This yields local Einstein-Sasaki metrics
of cohomogeneity n, with toric U(1)^{n+1} principal orbits, and n real
non-trivial parameters. By studying the structure of the degenerate orbits we
show that for appropriate choices of the parameters, characterised by the (n+1)
coprime integers (p,q,r_1,...,r_{n-1}), the local metrics extend smoothly onto
complete and non-singular compact Einstein-Sasaki manifolds
L^{p,q,r_1,...,r_{n-1}}. We also construct new complete and non-singular
compact Einstein spaces \Lambda^{p,q,r_1,...,r_n} in D=2n+1 that are not
Sasakian, by choosing parameters appropriately in the Euclideanised Kerr-de
Sitter metrics when no BPS limit is taken.Comment: latex, 26 page
On the supersymmetries of anti de Sitter vacua
We present details of a geometric method to associate a Lie superalgebra with
a large class of bosonic supergravity vacua of the type AdS x X, corresponding
to elementary branes in M-theory and type II string theory.Comment: 16 page
Beta, Dipole and Noncommutative Deformations of M-theory Backgrounds with One or More Parameters
We construct new M-theory solutions starting from those that contain 5 U(1)
isometries. We do this by reducing along one of the 5-torus directions, then
T-dualizing via the action of an O(4,4) matrix and lifting back to
11-dimensions. The particular T-duality transformation is a sequence of O(2,2)
transformations embedded in O(4,4), where the action of each O(2,2) gives a
Lunin-Maldacena deformation in 10-dimensions. We find general formulas for the
metric and 4-form field of single and multiparameter deformed solutions, when
the 4-form of the initial 11-dimensional background has at most one leg along
the 5-torus. All the deformation terms in the new solutions are given in terms
of subdeterminants of a 5x5 matrix, which represents the metric on the 5-torus.
We apply these results to several M-theory backgrounds of the type AdS_r x
X^{11-r}. By appropriate choices of the T-duality and reduction directions we
obtain analogues of beta, dipole and noncommutative deformations. We also
provide formulas for backgrounds with only 3 or 4 U(1) isometries and study a
case, for which our assumption for the 4-form field is violated.Comment: v2:minor corrections, v3:small improvements, v4:conclusions expanded,
to appear in Class. Quant. Gra
Branes with fluxes wrapped on spheres
Following an eight-dimensional gauged supergravity approach we construct the
most general solution describing D6-branes wrapped on a Kahler four-cycle taken
to be the product of two spheres of different radii. Our solution interpolates
between a Calabi-Yau four-fold and the spaces S^2xS^2xS^2xR^2 or S^2xS^2xR^4,
depending on generic choices for the parameters. Then we turn on a background
four-form field strength, corresponding to D2-branes, and show explicitly how
our solution is deformed. For a particular choice of parameters it represents a
flow from a Calabi-Yau four-fold times the three-dimensional Minkowski
space-time in the ultraviolet, to the space-time AdS_4xQ^{1,1,1} in the
infrared. In general, the solution in the infrared has a singularity which
within type-IIA supergravity corresponds to the near horizon geometry of the
solution for the D2-D6 system. Finally, we uncover the relation with work done
in the eighties on Freund-Rubin type compactifications.Comment: 15 pages, Late
AdS spacetimes from wrapped D3-branes
We derive a geometrical characterisation of a large class of AdS_3 and AdS_2
supersymmetric spacetimes in IIB supergravity with non-vanishing five-form flux
using G-structures. These are obtained as special cases of a class of
supersymmetric spacetimes with an or (time)
factor that are associated with D3-branes wrapping calibrated 2- or 3- cycles,
respectively, in manifolds with SU(2), SU(3), SU(4) and G_2 holonomy. We show
how two explicit AdS solutions, previously constructed in gauged supergravity,
satisfy our more general G-structure conditions. For each explicit solution we
also derive a special holonomy metric which, although singular, has an
appropriate calibrated cycle. After analytic continuation, some of the classes
of AdS spacetimes give rise to known classes of BPS bubble solutions with
, , and
symmetry. These have 1/2, 1/4 and 1/8 supersymmetry,
respectively. We present a new class of 1/8 BPS geometries with
symmetry, obtained by analytic continuation of the
class of AdS spacetimes associated with D3-branes wrapped on associative
three-cycles.Comment: 1+30 pages; v2, references added; v3, typos corrected, reference
adde
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