652 research outputs found
Geometry and supersymmetry of heterotic warped flux AdS backgrounds
We classify the geometries of the most general warped, flux AdS backgrounds
of heterotic supergravity up to two loop order in sigma model perturbation
theory. We show under some mild assumptions that there are no
backgrounds with . Moreover the warp factor of AdS backgrounds is
constant, the geometry is a product and such solutions
preserve, 2, 4, 6 and 8 supersymmetries. The geometry of has been
specified in all cases. For 2 supersymmetries, it has been found that
admits a suitably restricted structure. For 4 supersymmetries, has
an structure and can be described locally as a circle fibration over a
6-dimensional KT manifold. For 6 and 8 supersymmetries, has an
structure and can be described locally as a fibration over a
4-dimensional manifold which either has an anti-self dual Weyl tensor or a
hyper-K\"ahler structure, respectively. We also demonstrate a new Lichnerowicz
type theorem in the presence of corrections.Comment: 34 pages. Reference adde
HKT Geometry and Fake Five Dimensional Supergravity
Recent results on the relation between hyper-Kahler geometry with torsion and
solutions admitting Killing spinors in minimal de sitter supergravity are
extended to more general supergravity models with vector multiplets.Comment: 14 pages, latex. Minor typos corrected, references adde
Preisach images of a simple mechanical system
This work is an an early stage of a larger project aiming at answering the
question whether or not the Preisach map is really fingerprinting magnetic
materials. More precisely, we are interested whether Preisach model of magnetic
hysteresis indeed contains any physics or is just a convenient modeling tool.
To this extent we study a very simple mechanical system, thus fully tractable,
subjected to the external force. Despite of its simplicity, our model captures
all the fundamental features of real magnetic materials, namely their
hysteretic behavior, coercivity, remanent magnetization and saturation at high
fields. Both the overall shape of major hysteresis loop as well as First Order
Reversal Curves (FORC's) are reproduced quite correctly; they are very similar
to those observed in magnetic materials. The model essentially consists of a
single, spring loaded, rigid and rotative bar with non-zero friction torque.
The length of a projection of this bar onto the direction of an external force
is identified with magnetization. The friction torque and the spring constant
are the only freely adjustable parameters of our model. Here we investigate,
and present, their influence on the inferred Preisach maps.Comment: 3 pages, 6 figures, presented at The European Conference "Physics of
Magnetism" (PM'11), June 27 - July 1, 2011, Poznan, Polan
Equal charge black holes and seven dimensional gauged supergravity
We present various supergravity black holes of different dimensions with some
U(1) charges set equal in a simple, common form. Black hole solutions of seven
dimensional U(1)^2 gauged supergravity with three independent angular momenta
and two equal U(1) charges are obtained. We investigate the thermodynamics and
the BPS limit of this solution, and find that there are rotating supersymmetric
black holes without naked closed timelike curves. There are also supersymmetric
topological soliton solutions without naked closed timelike curves that have a
smooth geometry.Comment: 24 pages; v2, v3: minor change
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
Small Horizons
All near horizon geometries of supersymmetric black holes in a N=2, D=5
higher-derivative supergravity theory are classified. Depending on the choice
of near-horizon data we find that either there are no regular horizons, or
horizons exist and the spatial cross-sections of the event horizons are
conformal to a squashed or round S^3, S^1 * S^2, or T^3. If the conformal
factor is constant then the solutions are maximally supersymmetric. If the
conformal factor is not constant, we find that it satisfies a non-linear vortex
equation, and the horizon may admit scalar hair.Comment: 21 pages, latex. Typos corrected and reference adde
All null supersymmetric backgrounds of N=2, D=4 gauged supergravity coupled to abelian vector multiplets
The lightlike supersymmetric solutions of N=2, D=4 gauged supergravity
coupled to an arbitrary number of abelian vector multiplets are classified
using spinorial geometry techniques. The solutions fall into two classes,
depending on whether the Killing spinor is constant or not. In both cases, we
give explicit examples of supersymmetric backgrounds. Among these BPS
solutions, which preserve one quarter of the supersymmetry, there are
gravitational waves propagating on domain walls or on bubbles of nothing that
asymptote to AdS_4. Furthermore, we obtain the additional constraints obeyed by
half-supersymmetric vacua. These are divided into four categories, that include
bubbles of nothing which are asymptotically AdS_4, pp-waves on domain walls,
AdS_3 x R, and spacetimes conformal to AdS_3 times an interval.Comment: 55 pages, uses JHEP3.cls. v2: Minor errors corrected, small changes
in introductio
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