659 research outputs found
Genericity of Fr\'echet smooth spaces
If a separable Banach space contains an isometric copy of every separable
reflexive Fr\'echet smooth Banach space, then it contains an isometric copy of
every separable Banach space. The same conclusion holds if we consider
separable Banach spaces with Fr\'echet smooth dual space. This improves a
result of G. Godefroy and N. J. Kalton.Comment: 34 page
The influence of longwave ultraviolet radiation (u.v.-A) on the photosynthetic activity (14C-assimilation) of phytoplankton
The impact of u.v.-A (315-400 nm) on phytoplanktonic C-assimilation has been studied in situ and in the laboratory under artificial light. Water samples from Lake Lucerne were placed in DURAN-glass bottles and incubated either covered or uncovered with u.v. absorbing transparent tubes. Exposure to u.v.-A clearly inhibited 14C-assimilation in the uncovered samples both in situ and in the laboratory. Variations in visible light intensity and filtering of u.v.-B selectively demonstrated small inhibition of 14C-assimilation. U.v.-A inhibition of productivity is the major factor in the well known depression in productivity for surface water
Counterterms vs. Dualities
We investigate and clarify the mutual compatibility of the higher order
corrections arising in supergravity and string theory effective actions and the
non-linear duality symmetries of these theories. Starting from a conventional
tree level action leading to duality invariant equations of motion, we show how
to accommodate duality invariant counterterms given as functionals of both
electric and magnetic fields in a perturbative expansion, and to deduce from
them a non-polynomial bona fide action satisfying the Gaillard-Zumino
constraint. There exists a corresponding consistency constraint in the
non-covariant Henneaux-Teitelboim formalism which ensures that one can always
restore diffeomorphism invariance by perturbatively solving this functional
identity. We illustrate how this procedure works for the R^2 \nabla F \nabla F
and F^4 counterterms in Maxwell theory.Comment: 15 page
E{7(7)} Symmetry and Finiteness of N=8 Supergravity
We study N=8 supergravity deformed by the presence of the candidate
counterterms. We show that even though they are invariant under undeformed
E{7(7)}, all of the candidate counterterms violate the deformed E{7(7)} current
conservation. The same conclusion follows from the uniqueness of the Lorentz
and SU(8) covariant, E{7(7)} invariant unitarity constraint expressing the
56-dimensional E{7(7)} doublet via 28 independent vectors. Therefore E{7(7)}
duality predicts the all-loop UV finiteness of perturbative N=8 supergravity.Comment: 18 page
Duality covariant non-BPS first order systems
We study extremal black hole solutions to four dimensional N=2 supergravity
based on a cubic symmetric scalar manifold. Using the coset construction
available for these models, we define the first order flow equations implied by
the corresponding nilpotency conditions on the three-dimensional scalar momenta
for the composite non-BPS class of multi-centre black holes. As an application,
we directly solve these equations for the single-centre subclass, and write the
general solution in a manifestly duality covariant form. This includes all
single-centre under-rotating non-BPS solutions, as well as their
non-interacting multi-centre generalisations.Comment: 31 pages, v2: Discussion of the quadratic constraint clarified,
references added, typos corrected, published versio
N=8 Counterterms and E7(7) Current Conservation
We examine conservation of the E7(7) Noether-Gaillard-Zumino current in the
presence of N=8 supergravity counterterms using the momentum space helicity
formalism, which significantly simplifies the calculations. The main result is
that the 4-point counterterms at any loop order L are forbidden by the E7(7)
current conservation identity. We also clarify the relation between linearized
and full non-linear superinvariants as candidate counterterms. This enables us
to show that all n-point counterterms at L=7, 8 are forbidden since they
provide a non-linear completions of the 4-point ones. This supports and
exemplifies our general proof in arXiv:1103.4115 of perturbative UV finiteness
of N=8 supergravity.Comment: 18 page
Multi-Centered Black Hole Flows
We describe the systematical construction of the first order formalism for
multi-centered black holes with flat three dimensional base-space, within the
so-called model of N=2, D=4 ungauged Maxwell-Einstein supergravity. The
three possible flow classes (BPS, composite non-BPS and almost-BPS) are
analyzed in detail, and various solutions, such as single-centered (static or
under-rotating) and all known multi-centered black holes, are recovered in this
unified framework. We also consider the possibility of obtaining new solutions.
The almost-BPS class is proved to split into two general sub-classes,
corresponding to a positive or negative value of the duality-invariant
polynomial for the total charge; the well known almost BPS system is shown to
be a particular solution of the second sub-class.Comment: 17 pages,no figure
Epidemiological surveys of camel trypanosomosis in Al-jouf, Saudi Arabia based on PCR and ELISA
Trypanosomosis due to Trypanosoma evansi (surra) is a major enzootic disease of the dromedary camel. The present study was conducted to determine the prevalence of camel trypanosomosis in the northern part of Saudi Arabia with different methods of diagnosis (ELISA, PCR) and to compare the results to whose obtained previously with Card Agglutination Test for Trypanosomiasis (CATT/T.evansi). A total of 195 blood samples and 118 serum samples were used for molecular and serological investigation respectively. After analyses, 25% (49/195) and 3% (4/118) samples were positive using PCR and ELISA respectively. The variability of trypanosomosis was highly significant to the factor moving, location, breed and clinical signs with PCR. The discrepancy between PCR, CATT test and ELISA is likely due to antibodies degradation on spotted papers maintained several weeks at ambient temperature. This is the first molecular diagnosis report which gives a picture of camel trypanosomosis in Al-jouf, Saudi Arabia
Extremal Multicenter Black Holes: Nilpotent Orbits and Tits Satake Universality Classes
Four dimensional supergravity theories whose scalar manifold is a symmetric
coset manifold U[D=4]/Hc are arranged into a finite list of Tits Satake
universality classes. Stationary solutions of these theories, spherically
symmetric or not, are identified with those of an euclidian three-dimensional
sigma-model, whose target manifold is a Lorentzian coset U[D=3]/H* and the
extremal ones are associated with H* nilpotent orbits in the K* representation
emerging from the orthogonal decomposition of the algebra U[D=3] with respect
to H*. It is shown that the classification of such orbits can always be reduced
to the Tits-Satake projection and it is a class property of the Tits Satake
universality classes. The construction procedure of Bossard et al of extremal
multicenter solutions by means of a triangular hierarchy of integrable
equations is completed and converted into a closed algorithm by means of a
general formula that provides the transition from the symmetric to the solvable
gauge. The question of the relation between H* orbits and charge orbits W of
the corresponding black holes is addressed and also reduced to the
corresponding question within the Tits Satake projection. It is conjectured
that on the vanishing locus of the Taub-NUT current the relation between
H*-orbit and W-orbit is rigid and one-to-one. All black holes emerging from
multicenter solutions associated with a given H* orbit have the same W-type.
For the S^3 model we provide a complete survey of its multicenter solutions
associated with all of the previously classified nilpotent orbits of sl(2) x
sl(2) within g[2,2]. We find a new intrinsic classification of the W-orbits of
this model that might provide a paradigm for the analogous classification in
all the other Tits Satake universality classes.Comment: 83 pages, LaTeX; v2: few misprints corrected and references adde
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