358 research outputs found
W-superalgebras as truncation of super-Yangians
We show that some finite W-superalgebras based on gl(M|N) are truncation of
the super-Yangian Y(gl(M|N)). In the same way, we prove that finite
W-superalgebras based on osp(M|2n) are truncation of the twisted super-Yangians
Y(gl(M|2n))^{+}.
Using this homomorphism, we present these W-superalgebras in an R-matrix
formalism, and we classify their finite-dimensional irreducible
representations.Comment: Latex, 32 page
Self-Motions of General 3-RPR Planar Parallel Robots
This paper studies the kinematic geometry of general 3-RPR planar parallel
robots with actuated base joints. These robots, while largely overlooked, have
simple direct kinematics and large singularity-free workspace. Furthermore,
their kinematic geometry is the same as that of a newly developed parallel
robot with SCARA-type motions. Starting from the direct and inverse kinematic
model, the expressions for the singularity loci of 3-RPR planar parallel robots
are determined. Then, the global behaviour at all singularities is
geometrically described by studying the degeneracy of the direct kinematic
model. Special cases of self-motions are then examined and the degree of
freedom gained in such special configurations is kinematically interpreted.
Finally, a practical example is discussed and experimental validations
performed on an actual robot prototype are presented
Near-UV to near-IR disk-averaged Earth's reflectance spectra
We report 320 to 1020nm disk-averaged Earth reflectance spectra obtained from
Moon's Earthshine observations with the EMMI spectrograph on the NTT at ESO La
Silla (Chile). The spectral signatures of Earth atmosphere and ground
vegetation are observed. A vegetation red-edge of up to 9% is observed on
Europe and Africa and ~2% upon Pacific Ocean. The spectra also show that Earth
is a blue planet when Rayleigh scattering dominates, or totally white when the
cloud cover is large.Comment: Proceeding of an oral prensentation at the UAI No200 Colloquiu
Phase mapping of aging process in InN nanostructures: oxygen incorporation and the role of the zincblende phase
Uncapped InN nanostructures undergo a deleterious natural aging process at
ambient conditions by oxygen incorporation. The phases involved in this process
and their localization is mapped by Transmission Electron Microscopy (TEM)
related techniques. The parent wurtzite InN (InN-w) phase disappears from the
surface and gradually forms a highly textured cubic layer that completely wraps
up a InN-w nucleus which still remains from original single-crystalline quantum
dots. The good reticular relationships between the different crystals generate
low misfit strains and explain the apparent easiness for phase transformations
at room temperature and pressure conditions, but also disable the classical
methods to identify phases and grains from TEM images. The application of the
geometrical phase algorithm in order to form numerical moire mappings, and RGB
multilayered image reconstructions allows to discern among the different phases
and grains formed inside these nanostructures. Samples aged for shorter times
reveal the presence of metastable InN:O zincblende (zb) volumes, which acts as
the intermediate phase between the initial InN-w and the most stable cubic
In2O3 end phase. These cubic phases are highly twinned with a proportion of
50:50 between both orientations. We suggest that the existence of the
intermediate InN:O-zb phase should be seriously considered to understand the
reason of the widely scattered reported fundamental properties of thought to be
InN-w, as its bandgap or superconductivity.Comment: 18 pages 7 figure
Properties and nature of Be stars 30. Reliable physical properties of a semi-detached B9.5e+G8III binary BR CMi = HD 61273 compared to those of other well studied semi-detached emission-line binaries
Reliable determination of the basic physical properties of hot emission-line
binaries with Roche-lobe filling secondaries is important for developing the
theory of mass exchange in binaries. It is a very hard task, however, which is
complicated by the presence of circumstellar matter in these systems. So far,
only a small number of systems with accurate values of component masses, radii,
and other properties are known. Here, we report the first detailed study of a
new representative of this class of binaries, BR CMi, based on the analysis of
radial velocities and multichannel photometry from several observatories, and
compare its physical properties with those for other well-studied systems. BR
CMi is an ellipsoidal variable seen under an intermediate orbital inclination
of ~51 degrees, and it has an orbital period of 12.919059(15) d and a circular
orbit. We used the disentangled component spectra to estimate the effective
temperatures 9500(200) K and 4655(50) K by comparing them with model spectra.
They correspond to spectral types B9.5e and G8III. We also used the
disentangled spectra of both binary components as templates for the 2-D
cross-correlation to obtain accurate RVs and a reliable orbital solution. Some
evidence of a secular period increase at a rate of 1.1+/-0.5 s per year was
found. This, together with a very low mass ratio of 0.06 and a normal mass and
radius of the mass gaining component, indicates that BR CMi is in a slow phase
of the mass exchange after the mass-ratio reversal. It thus belongs to a still
poorly populated subgroup of Be stars for which the origin of Balmer emission
lines is safely explained as a consequence of mass transfer between the binary
components.Comment: 17 pages, 5 figures, accepted for publication in Astronomy and
Astrophysics. appears in Astronomy and Astrophysics 201
Soliton surfaces associated with symmetries of ODEs written in Lax representation
The main aim of this paper is to discuss recent results on the adaptation of
the Fokas-Gel'fand procedure for constructing soliton surfaces in Lie algebras,
which was originally derived for PDEs [Grundland, Post 2011], to the case of
integrable ODEs admitting Lax representations. We give explicit forms of the
\g-valued immersion functions based on conformal symmetries involving the
spectral parameter, a gauge transformation of the wave function and generalized
symmetries of the linear spectral problem. The procedure is applied to a
symmetry reduction of the static -field equations leading to the
Jacobian elliptic equation. As examples, we obtain diverse types of surfaces
for different choices of Jacobian elliptic functions for a range of values of
parameters.Comment: 14 Pages, 2 figures Conference Proceedings for QST7 Pragu
Near-UV to near-IR disk-averaged Earth's spectra from Moon's Earthshine observations
We discuss a series of Earthshine spectra obtained with the NTT/EMMI
instrument between 320nm and 1020nm with a resolution of R~450 in the blue and
R~250 in the red. These ascending and descending Moon's Earthshine spectra
taken from Chile give disk-averaged spectra for two different Earth's phases.
The spectra show the ozone (Huggins and Chappuis bands), oxygen and water
vapour absorption bands, and also the stronger Rayleigh scattering in the blue.
Removing the known telluric absorptions reveals a spectral feature around 700nm
which is attributed to the vegetation stronger reflectivity in the near-IR,
so-called vegetation red-edge.Comment: 2 pages, 1 figure, proceedings from a poster at 'Semaine de
l'Astrophysique Francaise', 27th june-1st july 2005, Strasbour
Light and Life: Exotic Photosynthesis in Binary Star Systems
The potential for hosting photosynthetic life on Earth-like planets within
binary/multiple stellar systems was evaluated by modelling the levels of
photosynthetically active radiation (PAR) such planets receive. Combinations of
M and G stars in: (i) close-binary systems; (ii) wide-binary systems and (iii)
three-star systems were investigated and a range of stable radiation
environments found to be possible. These environmental conditions allow for the
possibility of familiar, but also more exotic forms of photosynthetic life,
such as infrared photosynthesisers and organisms specialised for specific
spectral niches.Comment: Accepted for publication in: Astrobiolog
Surfaces immersed in Lie algebras associated with elliptic integrals
The main aim of this paper is to study soliton surfaces immersed in Lie
algebras associated with ordinary differential equations (ODE's) for elliptic
functions. That is, given a linear spectral problem for such an ODE in matrix
Lax representation, we search for the most general solution of the wave
function which satisfies the linear spectral problem. These solutions allow for
the explicit construction of soliton surfaces by the Fokas-Gel'fand formula for
immersion, as formulated in (Grundland and Post 2011) which is based on the
formalism of generalized vector fields and their prolongation structures. The
problem has been reduced to examining three types of symmetries, namely, a
conformal symmetry in the spectral parameter (known as the Sym-Tafel formula),
gauge transformations of the wave function and generalized symmetries of the
associated integrable ODE. The paper contains a detailed explanation of the
immersion theory of surfaces in Lie algebras in connection with ODE's as well
as an exposition of the main tools used to study their geometric
characteristics. Several examples of the Jacobian and P-Weierstrass elliptic
functions are included as illustrations of the theoretical results.Comment: 22 pages, 3 sets of figures. Keywords: Generalized symmetries,
integrable models, surfaces immersed in Lie algebra
Detection of Neutralino Annihilation Photons from External Galaxies
We consider neutralino annihilation in dense extragalactic systems known to
be dominated by dark matter, in particular M87 and several local dwarf
spheroidal galaxies. These annihilations can produce energetic gamma rays which
may be visible to atmospheric Cerenkov telescopes. We explore the
supersymmetric parameter space, and compute the expected flux of gamma--rays
coming from these objects. It is shown that some parts of the parameter space
lead to a signal observable with the next generation of Cerenkov telescopes,
provided the supersymmetric dark matter has a clumpy structure, as may be
expected in a hierarchical scenario for structure formation.Comment: revtex: 13 pages, 9 figure
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