21,107 research outputs found
Analytic Non-integrability in String Theory
Using analytic techniques developed for Hamiltonian dynamical systems we show
that a certain classical string configurations in AdS_5 x X_5 with X_5 in a
large class of Einstein spaces, is non-integrable. This answers the question of
integrability of string on such backgrounds in the negative. We consider a
string localized in the center of AdS_5 that winds around two circles in the
manifold X_5.Comment: 14 page
Analysis of the decays induced from SUSY loops within the Mass Insertion Approximation
In this paper we study the lepton favor violating decay channels of the
neutral Higgs bosons of the Minimal Supersymmetric Standard Model into a lepton
and an anti-lepton of different flavor. We work in the context of the most
general flavor mixing scenario in the slepton sector, in contrast to the
minimal flavor violation assumption more frequently used. Our analytic
computation is a one-loop diagrammatic one, but in contrast to the full
one-loop computation which is usually referred to the physical slepton mass
basis, we use here instead the Mass Insertion Approximation (MIA) which uses
the electroweak interaction slepton basis and treats perturbatively the mass
insertions changing slepton flavor. By performing an expansion in powers of the
external momenta in the relevant form factors, we will be able to separate
explicitly in the analytic results the leading non-decoupling (constant at
asymptotically large sparticle masses) and the next to leading decoupling
contributions (decreasing with the sparticle masses). Our final aim is to
provide a set of simple analytic formulas for the form factors and the
associated effective vertices, that we think may be very useful for future
phenomenological studies of the lepton flavor violating Higgs boson decays, and
for their comparison with data. The accuracy of the numerical results obtained
with the MIA are also analyzed and discussed here in comparison with the full
one-loop results. Our most optimistic numerical estimates for the three neutral
Higgs boson decays channels into and leptons, searching for their
maximum rates that are allowed by present constraints from data and beyond Standard Model Higgs boson searches at the LHC, are
also included.Comment: 37 pages, 16 figures, 3 appendices. This version v3 matches the
manuscript published in JHE
Fast-to-Alfv\'en mode conversion mediated by Hall current. II Application to the solar atmosphere
Coupling between fast magneto-acoustic and Alfv\'en waves can be observe in
fully ionized plasmas mediated by stratification and 3D geometrical effects. In
Paper I, Cally & Khomenko (2015) have shown that in a weakly ionized plasma,
such as the solar photosphere and chromosphere, the Hall current introduces a
new coupling mechanism. The present study extends the results from Paper I to
the case of warm plasma. We report on numerical experiments where mode
transformation is studied using quasi-realistic stratification in thermodynamic
parameters resembling the solar atmosphere. This redresses the limitation of
the cold plasma approximation assumed in Paper I, in particular allowing the
complete process of coupling between fast and slow magneto-acoustic modes and
subsequent coupling of the fast mode to the Alfv\'en mode through the Hall
current. Our results confirm the efficacy of the mechanism proposed in Paper I
for the solar case. We observe that the efficiency of the transformation is a
sensitive function of the angle between the wave propagation direction and the
magnetic field, and of the wave frequency. The efficiency increases when the
field direction and the wave direction are aligned for increasing wave
frequencies. After scaling our results to typical solar values, the maximum
amplitude of the transformed Alfv\'en waves, for a frequency of 1 Hz,
corresponds to an energy flux (measured above the height of peak Hall coupling)
of , based on an amplitude of 500 at
, which is sufficient to play a major role in both quiet and active
region coronal heating
On the perturbative corrections around D-string instantons
We study -threshold corrections in an eight dimensional S-dual
pair of string theories, as a prototype of dual string vacua with sixteen
supercharges. We show that the orbifold CFT description of D-string instantons
gives rise to a perturbative expansion similar to the one appearing on the
fundamental string side. By an explicit calculation, using the Nambu-Goto
action in the static gauge, we show that the first subleading term agrees
precisely on the two sides. We then give a general argument to show that the
agreement extends to all orders.Comment: 12 page
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