11,313 research outputs found
On the Moyal deformation of Nahm Equations in seven dimensions
We show how the reduced (anti-)self-dual Yang-Mills equations in seven
dimensions described by the Nahm equations can be carried over to the
Weyl-Wigner-Moyal formalism. In the process some new solutions for the cases of
gauge groups SU(2) and SL(2,R) are explicitly obtained.Comment: 16+1 pages, LaTeX, no figure
Anti-de Sitter massless scalar field spacetimes in arbitrary dimensions
We consider -dimensional static spacetimes in Einstein gravity with a
cosmological constant in the presence of a minimally coupled massless scalar
field. The spacetimes have a -dimensional base manifold given by an
Einstein space and the massless scalar field depends only on the radial
coordinate. The field equations are decoupled in the general case, and can be
solved exactly for the cases when either the cosmological constant vanishes or
the base manifold is Ricci flat. We focus on the case of a negative
cosmological constant and a Ricci-flat base manifold. The solution has a
curvature singularity located at the origin, where also the scalar field
diverges. Since there is no event horizon surrounding this singularity, the
solution describes a naked singularity dressed with a nontrivial scalar field.
This spacetime is an asymptotically locally anti-de Sitter one when the
Ricci-flat base manifold is locally flat. The asymptotic solution for an
arbitrary Einstein base manifold is found and the corresponding mass,
calculated through the canonical generator of the time-translation invariance,
is shown to be finite. The contribution to the mass from the scalar field at
infinity is also discussed.Comment: 14 pages, 1 figure. Typos correcte
New results on q-positivity
In this paper we discuss symmetrically self-dual spaces, which are simply
real vector spaces with a symmetric bilinear form. Certain subsets of the space
will be called q-positive, where q is the quadratic form induced by the
original bilinear form. The notion of q-positivity generalizes the classical
notion of the monotonicity of a subset of a product of a Banach space and its
dual. Maximal q-positivity then generalizes maximal monotonicity. We discuss
concepts generalizing the representations of monotone sets by convex functions,
as well as the number of maximally q-positive extensions of a q-positive set.
We also discuss symmetrically self-dual Banach spaces, in which we add a Banach
space structure, giving new characterizations of maximal q-positivity. The
paper finishes with two new examples.Comment: 18 page
Numerical precision radiative corrections to the Dalitz plot of baryon semileptonic decays including the spin-momentum correlation of the decaying and emitted baryons
We calculate the radiative corrections to the angular correlation between the
polarization of the decaying and the direction of the emitted spin one-half
baryons in the semileptonic decay mode. The final results are presented, first,
with the triple integration of the bremsstrahlung photon ready to be performed
numerically and, second, in an analytical form. A third presentation of our
results in the form of numerical arrays of coefficients to be multiplied by the
quadratic products of form factors is discussed. This latter may be the most
practical one to use in Monte Carlo simulations. A series of crosschecks is
performed. Previous results to order (alpha/pi)(q/M_1) for the decays of
unpolarized baryons are reviewed, too, where q is the momentum transfer and M_1
is the mass of the decaying baryon. This paper is self-contained and organized
to make it accessible and reliable in the analysis of the Dalitz plot of
precision experiments involving heavy quarks and is not compromised to fixing
the form factors at predetermined values. It is assumed that the real photons
are kinematically discriminated. Otherwise, our results have a general
model-independent applicability.Comment: 34 pages, 4 tables, no figures. Some sections have been shortened.
Conclusions remain unchange
Kinematic study of planetary nebulae in NGC 6822
By measuring precise radial velocities of planetary nebulae (which belong to
the intermediate age population), H II regions, and A-type supergiant stars
(which are members of the young population) in NGC 6822, we aim to determine if
both types of population share the kinematics of the disk of H I found in this
galaxy.
Spectroscopic data for four planetary nebulae were obtained with the high
spectral resolution spectrograph Magellan Inamori Kyocera Echelle (MIKE) on the
Magellan telescope at Las Campanas Observatory. Data for other three PNe and
one H II region were obtained from the SPM Catalog of Extragalactic Planetary
Nebulae which employed the Manchester Echelle Spectrometer attached to the 2.1m
telescope at the Observatorio Astron\'omico Nacional, M\'exico. In the
wavelength calibrated spectra, the heliocentric radial velocities were measured
with a precision better than 5-6 km s. Data for three additional H II
regions and a couple of A-type supergiant stars were collected from the
literature. The heliocentric radial velocities of the different objects were
compared to the velocities of the H i disk at the same position.
From the analysis of radial velocities it is found that H II regions and
A-type supergiants do share the kinematics of the H I disk at the same
position, as expected for these young objects. On the contrary, planetary
nebula velocities differ significantly from that of the H I at the same
position. The kinematics of planetary nebulae is independent from the young
population kinematics and it is closer to the behavior shown by carbon stars,
which are intermediate-age members of the stellar spheroid existing in this
galaxy. Our results are confirming that there are at least two very different
kinematical systems in NGC 6822
SIDO Buck converter with independent outputs
The portable electronics market is rapidly migrating towards more compact devices requiring multiple high-integrity
high-efficiency voltage supplies for empowering the systems. This paper demonstrates a single inductor used in a buck converter with two output voltages from an input battery with voltage of value 3V.
The main target is low cross regulation between the two outputs to supply independent load current levels while maintaining desired output voltage values well within a ripple that is set by adaptive hysteresis levels. A reverse current detector to avoid negative current flowing through the inductor prevents efficiency degradation at light load.Postprint (published version
SIDO Buck converter with independent outputs
The portable electronics market is rapidly migrating towards more compact devices requiring multiple high-integrity
high-efficiency voltage supplies for empowering the systems. This paper demonstrates a single inductor used in a buck converter with two output voltages from an input battery with voltage of value 3V.
The main target is low cross regulation between the two outputs to supply independent load current levels while maintaining desired output voltage values well within a ripple that is set by adaptive hysteresis levels. A reverse current detector to avoid negative current flowing through the inductor prevents efficiency degradation at light load.Postprint (published version
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