6,247 research outputs found
Extended graphical calculus for categorified quantum sl(2)
A categorification of the Beilinson-Lusztig-MacPherson form of the quantum
sl(2) was constructed in the paper arXiv:0803.3652 by the second author. Here
we enhance the graphical calculus introduced and developed in that paper to
include two-morphisms between divided powers one-morphisms and their
compositions. We obtain explicit diagrammatical formulas for the decomposition
of products of divided powers one-morphisms as direct sums of indecomposable
one-morphisms; the latter are in a bijection with the Lusztig canonical basis
elements. These formulas have integral coefficients and imply that one of the
main results of Lauda's paper---identification of the Grothendieck ring of his
2-category with the idempotented quantum sl(2)---also holds when the 2-category
is defined over the ring of integers rather than over a field.Comment: 72 pages, LaTeX2e with xypic and pstricks macro
Constrained Dynamics of Tachyon Field in FRWL Spacetime
In this paper we continue study of tachyon scalar field described by a
Dirac-Born-Infeld (DBI) type action with constraints in the cosmological
context. The proposed extension of the system introducing an auxiliary field in
the minisuperspace framework is discussed. A new equivalent set of constraints
is constructed, satisfying the usual regularity conditions.Comment: 10 pages, to be published in the Special Issue of the Facta
Universitatis Series: Physics, Chemistry and Technology devoted to the
SEENET-MTP Balkan Workshop BSW2019 (3-14 June 2018, Nis, Serbia
The age of the Dinaride Ophiolite Belt: Derived olistostrome melange at the northern slope of Moračka Kapa (Montenegro)
This paper presents the first results of a palynological investigation of the
Dinaride Ophiolite Belt - derived olistostrome melange at the northern slope
of Moračka Kapa (Montenegro). The analysis of microfloral association
provided a reconstruction of the Late Jurassic sedimentation conditions and
depositional environment in the Morača Kapa Unit. The samples (8) collected
from the different parts of ophiolite matrix yielded palynomorph assemblages
(fossil spores, pollen grains and dinoflagellates) of the Upper Jurassic
age. The uppermost part of the ophiolite suite on the presented palynomorphs
could also indicate the lowermost Lower Cretaceous. These palynological
results provide a very interesting framework of these widespread, but poorly
stratigraphically understood sediments. The paleoecological results suggest
humid and subtropical conditions in the hinterland
Inflationary RSII Model with a Matter in the Bulk and Exponential Potential of Tachyon Field
In this paper we study a tachyon cosmological model based on dynamics of a
3-brane in the second Randall-Sundrum (RSII) model extended to include matter
in the bulk. The presence of matter in the bulk changes warp factor which leads
to modification of inflationary dynamics. The additional brane behaves
effectively as a tachyon. We calculate numerically observation parameters of
inflation: the scalar spectral index () and the tensor-to-scalar ratio
() for the exponential potential of tachyon field.Comment: 9 pages, 1 figure, will be published in the Special Issue of Facta
Universitatis, Series: Physics, Chemistry and Technology devoted to the
SEENET-MTP Balkan Workshop BSW2018 (3-14 June 2018
Numerical Calculation of Hubble Hierarchy Parameters and Observational Parameters of Inflation
We present results obtained by a software we developed for computing
observational cosmological inflation parameters: the scalar spectral index
() and the tensor-to-scalar ratio () for a standard single field and
tachyon inflation, as well as for a tachyon inflation in the second
Randall-Sundrum model with an additional radion field. The calculated numerical
values of observational parameters are compared with the latest results of
observations obtained by the Planck Collaboration. The program is written in
C/C++. The \textit{GNU Scientific Library} is used for some of the numerical
computations and R language is used for data analysis and plots.Comment: 8 pages, 5 figures, based on talk presented at The 10th Jubilee
Conference of the Balkan Physical Union (BPU10), 26-30 August 2018 (Sofia,
Bulgaria
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