1,106 research outputs found
AdS spacetimes from wrapped M5 branes
We derive a complete geometrical characterisation of a large class of
, and supersymmetric spacetimes in eleven-dimensional
supergravity using G-structures. These are obtained as special cases of a class
of supersymmetric , and
geometries, naturally associated to M5-branes wrapping calibrated cycles in
manifolds with , SU(3) or SU(2) holonomy. Specifically, the latter class
is defined by requiring that the Killing spinors satisfy the same set of
projection conditions as for wrapped probe branes, and that there is no
electric flux. We show how the R-symmetries of the dual field theories appear
as isometries of the general AdS geometries. We also show how known solutions
previously constructed in gauged supergravity satisfy our more general
G-structure conditions, demonstrate that our conditions for half-BPS
geometries are precisely those of Lin, Lunin and Maldacena, and construct some
new singular solutions.Comment: 1+56 pages, LaTeX; v2, references added; v3, minor corrections, final
version to appear in JHE
Geometries with Killing Spinors and Supersymmetric AdS Solutions
The seven and nine dimensional geometries associated with certain classes of
supersymmetric and solutions of type IIB and D=11 supergravity,
respectively, have many similarities with Sasaki-Einstein geometry. We further
elucidate their properties and also generalise them to higher odd dimensions by
introducing a new class of complex geometries in dimensions, specified
by a Riemannian metric, a scalar field and a closed three-form, which admit a
particular kind of Killing spinor. In particular, for , we show that
when the geometry in dimensions is a cone we obtain a class of
geometries in dimensions, specified by a Riemannian metric, a scalar
field and a closed two-form, which includes the seven and nine-dimensional
geometries mentioned above when , respectively. We also consider various
ansatz for the geometries and construct infinite classes of explicit examples
for all .Comment: 28 page
Semiclassical strings in marginally deformed toric AdS/CFT
We study string solutions in the beta-deformed Sasaki-Einstein gauge/gravity
dualities. We find that the BPS point-like strings move in the submanifolds
where the two U(1) circles shrink to zero size. In the corresponding T^3
fibration description, the strings live on the edges of the polyhedron, where
the T^3 fibration degenerates to T^1. Moreover, we find that for each deformed
Sasaki-Einstein manifold the BPS string solutions exist only for particular
values of the deformation parameter. Our results imply that in the dual field
theory the corresponding BPS operators exist only for these particular values
of the deformation parameter we find. We also examine the non-BPS strings,
derive their dispersion relations and compare them with the undeformed ones.
Finally, we comment on the range of the validity of our solutions and their
dependence on the deformation parameter.Comment: 29 pages, 9 figure
A Calibration Bound for the M-Theory Fivebrane
We construct a covariant bound on the energy-momentum of the M-fivebrane
which is saturated by all supersymmetric configurations. This leads to a
generalised notion of a calibrated geometry for M-fivebranes when the
worldvolume gauge field is non-zero. The generalisation relevant for Dp-branes
is also given.Comment: 9 pages, LaTeX2e, uses vmargin.sty. Typos corrected, a reference and
a new discussion on conserved charges added. v4: A typo in the expression for
the D-fourbrane energy correcte
The Geometry of D=11 Null Killing Spinors
We determine the necessary and sufficient conditions on the metric and the
four-form for the most general bosonic supersymmetric configurations of D=11
supergravity which admit a null Killing spinor i.e. a Killing spinor which can
be used to construct a null Killing vector. This class covers all
supersymmetric time-dependent configurations and completes the classification
of the most general supersymmetric configurations initiated in hep-th/0212008.Comment: 30 pages, typos corrected, reference added, new solution included in
section 5.1; uses JHEP3.cl
Branes and Calibrated Geometries
The fivebrane worldvolume theory in eleven dimensions is known to contain BPS
threebrane solitons which can also be interpreted as a fivebrane whose
worldvolume is wrapped around a Riemann surface. By considering configurations
of intersecting fivebranes and hence intersecting threebrane solitons, we
determine the Bogomol'nyi equations for more general BPS configurations. We
obtain differential equations, generalising Cauchy-Riemann equations, which
imply that the worldvolume of the fivebrane is wrapped around a calibrated
geometry.Comment: Latex, 35 pages. References added, minor change
Branes in
We have found the solution to the back reaction of putting a stack of
coincident D3 and D5 branes in , where is constructed
from an infinite class of Sasaki-Einstein spaces, . The non-zero
fluxes associated to 2-form potential suggests the presence of a
non-contractible 2-cycle in this geometry. The radial part of the warp factor
has the usual form and possess the cascading feature. We argue that generically
the duals of these SE spaces will have irrational central charges.Comment: 8 pp, Latex, a minor change and typos fixe
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