1,455 research outputs found
Entire curves avoiding given sets in C^n
Let be a proper closed subset of and
at most countable (). We give conditions
of and , under which there exists a holomorphic immersion (or a proper
holomorphic embedding) with .Comment: 10 page
Self-consistent tilted-axis-cranking study of triaxial strongly deformed bands in Er at ultrahigh spin
Stimulated by recent experimental discoveries, triaxial strongly deformed
(TSD) states in Er at ultrahigh spins have been studied by means of the
Skyrme-Hartree-Fock model and the tilted-axis-cranking method. Restricting the
rotational axis to one of the principal axes -- as done in previous cranking
calculations -- two well-defined TSD minima in the total Routhian surface are
found for a given configuration: one with positive and another with negative
triaxial deformation . By allowing the rotational axis to change
direction, the higher-energy minimum is shown to be a saddle point. This
resolves the long-standing question of the physical interpretation of the two
triaxial minima at a very similar quadrupole shape obtained in the principal
axis cranking approach. Several TSD configurations have been predicted,
including a highly deformed band expected to cross lesser elongated TSD bands
at the highest spins. Its transitional quadrupole moment \,eb
is close to the measured value of 11\,eb; hence, it is a candidate for
the structure observed in experiment.Comment: 5 pages, 5 figure
Jacobi Identity for Vertex Algebras in Higher Dimensions
Vertex algebras in higher dimensions provide an algebraic framework for
investigating axiomatic quantum field theory with global conformal invariance.
We develop further the theory of such vertex algebras by introducing formal
calculus techniques and investigating the notion of polylocal fields. We derive
a Jacobi identity which together with the vacuum axiom can be taken as an
equivalent definition of vertex algebra.Comment: 35 pages, references adde
Probabilistic Model of Onset Detection Explains Paradoxes in Human Time Perception
A very basic computational model is proposed to explain two puzzling findings in the time perception literature. First, spontaneous motor actions are preceded by up to 1–2 s of preparatory activity (Kornhuber and Deecke, 1965). Yet, subjects are only consciously aware of about a quarter of a second of motor preparation (Libet et al., 1983). Why are they not aware of the early part of preparation? Second, psychophysical findings (Spence et al., 2001) support the principle of attention prior entry (Titchener, 1908), which states that attended stimuli are perceived faster than unattended stimuli. However, electrophysiological studies reported no or little corresponding temporal difference between the neural signals for attended and unattended stimuli (McDonald et al., 2005; Vibell et al., 2007). We suggest that the key to understanding these puzzling findings is to think of onset detection in probabilistic terms. The two apparently paradoxical phenomena are naturally predicted by our signal detection theoretic model
Proper holomorphic mappings between symmetrized ellipsoids
We characterize the existence of proper holomorphic mappings in the special
class of bounded -balanced domains in , called the
symmetrized ellipsoids. Using this result we conclude that there are no
non-trivial proper holomorphic self-mappings in the class of symmetrized
ellipsoids. We also describe the automorphism groupof these domains.Comment: 10 pages, some modification
Departure from the constant-period ephemeris for the transiting exoplanet WASP-12 b
Most hot Jupiters are expected to spiral in towards their host stars due to
transfering of the angular momentum of the orbital motion to the stellar spin.
Their orbits can also precess due to planet-star interactions. Calculations
show that both effects could be detected for the very-hot exoplanet WASP-12 b
using the method of precise transit timing over a timespan of the order of 10
yr. We acquired new precise light curves for 29 transits of WASP-12 b,
spannning 4 observing seasons from November 2012 to February 2016. New
mid-transit times, together with literature ones, were used to refine the
transit ephemeris and analyse the timing residuals. We find that the transit
times of WASP-12 b do not follow a linear ephemeris with a 5 sigma confidence
level. They may be approximated with a quadratic ephemeris that gives a rate of
change in the orbital period of -2.56 +/- 0.40 x 10^{-2} s/yr. The tidal
quality parameter of the host star was found to be equal to 2.5 x 10^5 that is
comparable to theoretical predictions for Sun-like stars. We also consider a
model, in which the observed timing residuals are interpreted as a result of
the apsidal precession. We find, however, that this model is statistically less
probable than the orbital decay.Comment: Accepted for publication in A&A Letter
Dimensional Reduction of Dirac Operator
We construct an explicit example of dimensional reduction of the free
massless Dirac operator with an internal SU(3) symmetry, defined on a
twelve-dimensional manifold that is the total space of a principal SU(3)-bundle
over a four-dimensional (nonflat) pseudo-Riemannian manifold. Upon dimensional
reduction the free twelve-dimensional Dirac equation is transformed into a
rather nontrivial four-dimensional one: a pair of massive Lorentz spinor
SU(3)-octets interacting with an SU(3)-gauge field with a source term depending
on the curvature tensor of the gauge field. The SU(3) group is complicated
enough to illustrate features of the general case. It should not be confused
with the color SU}(3) of quantum chromodynamics where the fundamental spinors,
the quark fields, are SU(3) triplets rather than octets.Comment: 11 pages, LATEX
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