56,847 research outputs found
Mechanism for the failure of the Edwards hypothesis in the SK spin glass
The dynamics of the SK model at T=0 starting from random spin configurations
is considered. The metastable states reached by such dynamics are atypical of
such states as a whole, in that the probability density of site energies,
, is small at . Since virtually all metastable states
have a much larger , this behavior demonstrates a qualitative failure of
the Edwards hypothesis. We look for its origins by modelling the changes in the
site energies during the dynamics as a Markov process. We show how the small
arises from features of the Markov process that have a clear physical
basis in the spin-glass, and hence explain the failure of the Edwards
hypothesis.Comment: 5 pages, new title, modified text, additional reference
Lamb wave near field enhancements for surface breaking defects in plates
Near field surface wave ultrasonic enhancements have previously been used to detect surface breaking defects in thick samples using Rayleigh waves. Here, we present analogous surface wave enhancements for Lamb waves propagating in plates. By tracking frequency intensities in selected regions of time-frequency representations, we observe frequency enhancement in the near field, due to constructive interference of the incident wave mode with those reflected and mode converted at the defect. This is explained using two test models; a square based notch and an opening crack, which are used to predict the contribution to the out-of-plane displacement from the reflected and mode converted waves. This method has the potential to provide a reliable method for the near field identification and characterisation of surface breaking defects in plates
Gauge Symmetry, T-Duality and Doubled Geometry
String compactifications with T-duality twists are revisited and the gauge
algebra of the dimensionally reduced theories calculated. These reductions can
be viewed as string theory on T-fold backgrounds, and can be formulated in a
`doubled space' in which each circle is supplemented by a T-dual circle to
construct a geometry which is a doubled torus bundle over a circle. We discuss
a conjectured extension to include T-duality on the base circle, and propose
the introduction of a dual base coordinate, to give a doubled space which is
locally the group manifold of the gauge group. Special cases include those in
which the doubled group is a Drinfel'd double. This gives a framework to
discuss backgrounds that are not even locally geometric.Comment: 16 page
On Type IIA geometries dual to N = 2 SCFTs
We provide explicit solutions of Type IIA supergravity which are believed to
be dual to N = 2 superconformal four dimensional gauge theories. These explicit
solutions are based on the general ansatz for such a type of backgrounds
introduced by Gaiotto and Maldacena.Comment: 23 pages, 10 figures; minor corrections, references correcte
The supersymmetric Penrose transform in six dimensions
We give a supersymmetric extension to the six-dimensional Penrose transform
and give an integral formula for the on-shell (0, 2) supermultiplet. The
relationship between super fields on space-time and twistor space is clarified
and the space-time superfield constraint equations are derived from the
geometry of supertwistor space. We also explain the extension to more general
(0,n) supermultiplets and give twistor actions for these theories.Comment: 20 page
- …