653 research outputs found
Landowner Liability in Montana
Landowner Liability in Montan
Conformal smectics and their many metrics
We establish that equally spaced smectic configurations enjoy an infinite-dimensional conformal symmetry and show that there is a natural map between them and null hypersurfaces in maximally symmetric spacetimes. By choosing the appropriate conformal factor it is possible to restore additional symmetries of focal structures only found before for smectics on flat substrates
The cubic period-distance relation for the Kater reversible pendulum
We describe the correct cubic relation between the mass configuration of a
Kater reversible pendulum and its period of oscillation. From an analysis of
its solutions we conclude that there could be as many as three distinct mass
configurations for which the periods of small oscillations about the two pivots
of the pendulum have the same value. We also discuss a real compound Kater
pendulum that realizes this property.Comment: 25 pages 4figure
Unity of Supersymmetry Breaking Models
We examine the models with gauge group U(1)^{k-1}\times\prod_{i=1}^k SU(n_i),
which are obtained from decomposing the supersymmetry breaking model of
Affleck, Dine and Seiberg containing an antisymmetric tensor field. We note
that all of these models are distinct vacua of a single SU(N) gauge theory with
an adjoint superfield. The dynamics of this model may be analyzed using the
duality of Kutasov and Schwimmer and the deconfinement trick of Berkooz. This
analysis leads to a simple picture for supersymmetry breaking for k=2,
complementing that of previous work. We examine the flat directions of these
models, and give straightforward criteria for lifting them, explaining the
requisite peculiar form of the superpotential. For all cases with k>2, the
duality argument fails to give supersymmetry breaking dynamics, and we identify
a class of problematic flat directions, which we term 2m-baryons. We study in
some detail the requirements for lifting these directions, and uncover some
surprising facts regarding the relationship between R-symmetry and
supersymmetry breaking in models with several gauge groups.Comment: harvmac, 40 page
Iterated Moire Maps and Braiding of Chiral Polymer Crystals
In the hexagonal columnar phase of chiral polymers a bias towards cholesteric
twist competes with braiding along an average direction. When the chirality is
strong, screw dislocations proliferate, leading to either a tilt grain boundary
phase or a new "moire state" with twisted bond order. Polymer trajectories in
the plane perpendicular to their average direction are described by iterated
moire maps of remarkable complexity.Comment: 10 pages (plain tex) 3 figures uufiled and appende
Anomalous Elasticity of Polymer Cholesterics
We show that polymer cholesterics have much longer pitches than comparable
short molecule cholesterics, due to their anomalous elasticity. The pitch
of a chiral mixture with concentration near the racemic (non-chiral)
concentration diverges like with (for short molecule cholesterics ). The short molecule law is
recovered for polymers of finite molecular length once the pitch is
longer than a length that diverges like with . Our predictions could be tested by measurements of the pitch in DNA.Comment: 12 pages, Plain TeX, (1 postscript figure, compressed, uuencoded and
appended to paper), minor corrections, IASSNS-HEP-94/4
Bulk Physics at a Graviton Factory
A general prediction of the 5-d Randall-Sundrum (RS) hierarchy model is the
emergence of spin-2 Kaluza Klein (KK) gravitons with weak scale masses and
couplings. The lowest order effective theory of the RS model is given by 5-d
Einstein gravity which uniquely fixes the self-interactions of gravitons. We
demonstrate that large numbers of light KK resonances could be produced at a
future lepton-collider-based ``Graviton Factory''. Measuring the
self-interactions of these KK gravitons will probe the accuracy of the 5-d
Einstein gravity picture and, in addition, yield indirect information on the as
yet untested self-coupling of the 4-d graviton. The self-interactions of the
gravitons can be studied by measuring the decays of the heavier states to the
lighter ones. Using the AdS/CFT picture, these can be interpretted as the
decays of heavier resonances to lighter ones, in a strongly coupled 4-d CFT. We
show that these decays have sufficient rates to be studied at future colliders
and that they are also, in principle, sensitive to higher derivative operators,
such as the Gauss-Bonnet term. In a generalized RS model, with non-universal
5-d fermion masses, FCNC's will be induced. We show that precise measurements
of the rare decays of KK graviton/gauge states into flavor non-diagonal final
states at a Graviton Factory can be used to map the 5-d fermion mass matrix.Comment: Latex, 11 pages, 2 figures. Comments regarding the calculation and
the AdS/CFT correspondence adde
"Gaugomaly" Mediated SUSY Breaking and Conformal Sequestering
Anomaly-mediated supersymmetry breaking in the context of 4D conformally
sequestered models is combined with Poppitz-Trivedi D-type gauge-mediation. The
implementation of the two mediation mechanisms naturally leads to visible soft
masses at the same scale so that they can cooperatively solve the mu and flavor
problems of weak scale supersymmetry, as well as the tachyonic slepton problem
of pure anomaly-mediation. The tools are developed in a modular fashion for
more readily fitting into the general program of optimizing supersymmetric
dynamics in hunting for the most attractive weak scale phenomenologies combined
with Planck-scale plausibility.Comment: 14 pages, Late
Gauge/string duality and scalar glueball mass ratios
It has been shown by Polchinski and Strassler that the scaling of high energy
QCD scattering amplitudes can be obtained from string theory. They considered
an AdS slice as an approximation for the dual space of a confining gauge
theory. Here we use this approximation to estimate in a very simple way the
ratios of scalar glueball masses imposing Dirichlet boundary conditions on the
string dilaton field. These ratios are in good agreement with the results in
the literature. We also find that they do not depend on the size of the slice.Comment: 5 pages, no figures. References updated. Version published in JHE
Rotational Invariance and the Theory of Directed Polymer Nematics
The consequences of rotational invariance in a recent theory of fluctuations
in dilute polymer nematics are explored. A correct rotationally invariant free
energy insures that anomalous couplings are not generated in a one-loop
renormalization group calculation.Comment: 4 Pages, latex file (requires REVTEX 3.0), two postscript figures
(attached), IASSNS-HEP-93/2
- …