1,087,365 research outputs found
Odd structures are odd
By an odd structure we mean an algebraic structure in the category of graded
vector spaces whose structure operations have odd degrees. Particularly
important are odd modular operads which appear as Feynman transforms of modular
operads and, as such, describe some structures of string field theory.
We will explain how odd structures are affected by the choice of the monoidal
structure of the underlying category. We will then present two `natural' and
`canonical' constructions of an odd modular endomorphism operad leading to
different results, only one being correct. This contradicts the generally
accepted belief that the systematic use of the Koszul sign convention leads to
correct signs.Comment: Minor revision and a reference added. Accepted for publication in
Advances in Applied Clifford Algebra
Invariants and CP violation in the 2HDM
We discuss the importance of basis invariants in the general 2HDM and how
these relates to masses and couplings. We also present a simple, yet powerful
technique to translate parameters of the potential into combinations of masses
and couplings of the theory and apply this to CP odd invariants.Comment: 14 pages. Talk given at Corfu Summer Institute 2017, School and
Workshops on Elementary Particle Physics and Gravity, September 2017. To
appear in conference proceeding
Magnetic moments of odd-odd spherical nuclei
Magnetic moments of more than one hundred odd-odd spherical nuclei in ground
and excited states are calculated within the self-consistent TFFS based on the
EDF method by Fayans {\it et al}. We limit ourselves to nuclei with a neutron
and a proton particle (hole) added to the magic or semimagic core. A simple
model of no interaction between the odd nucleons is used. In most the cases we
analyzed, a good agreement with the experimental data is obtained. Several
cases are considered where this simple model does not work and it is necessary
to go beyond. The unknown values of magnetic moments of many unstable odd and
odd-odd nuclei are predicted including sixty values for excited odd-odd nuclei.Comment: 10 page
Simultaneous Description of Even-Even, Odd-Mass and Odd-Odd Nuclear Spectra
The orthosymplectic extension of the Interacting Vector Boson Model (IVBM) is
used for the simultaneous description of the spectra of different families of
neighboring heavy nuclei. The structure of even-even nuclei is used as a core
on which the collective excitations of the neighboring odd-mass and odd-odd
nuclei are built on. Hence, the spectra of the odd-mass and odd-odd nuclei
arise as a result of the consequent and self-consistent coupling of the fermion
degrees of freedom of the odd particles, specified by the fermion sector
, to the boson core which states
belong to an irreducible representation.
The theoretical predictions for different low-lying collective bands with
positive and negative parity for two sets of neighboring nuclei with distinct
collective properties are compared with experiment and IBM/IBFM/IBFFM
predictions. The obtained results reveal the applicability of the used
dynamical symmetry of the model.Comment: 6 pages, 1 figure, A talk given at the 7th International Conference
of the Balkan Physical Union, September 9-13, 2009, Alexandropoulos, Greec
Quadrupole moments of odd-odd near-magic nuclei
Ground state quadrupole moments of odd-odd near double magic nuclei are
calculated in the approximation of no interaction between odd particles. Under
such a simple approximation, the problem is reduced to the calculations of
quadrupole moments of corresponding odd-even nuclei. These calculations are
performed within the self-consistent Theory of Finite Fermi Systems based on
the Energy Density Functional by Fayans et al. with the known DF3-a parameters.
A reasonable agreement with the available experimental data has been obtained
for odd-odd nuclei and odd near-magic nuclei investigated. The self-consistent
approach under consideration allowed us to predict the unknown quadrupole
moments of odd-even and odd-odd nuclei near the double-magic Ni,
Sn ones.Comment: 3 pages, Poster presented at International Conference on Nuclear
Structure and Related Topics, Dubna, July 2-7, 201
The odd nilHecke algebra and its diagrammatics
We introduce an odd version of the nilHecke algebra and develop an odd
analogue of the thick diagrammatic calculus for nilHecke algebras. We
graphically describe idempotents which give a Morita equivalence between odd
nilHecke algebras and the rings of odd symmetric functions in finitely many
variables. Cyclotomic quotients of odd nilHecke algebras are Morita equivalent
to rings which are odd analogues of the cohomology rings of Grassmannians. Like
their even counterparts, odd nilHecke algebras categorify the positive half of
quantum sl(2).Comment: 48 pages, eps and xypic diagram
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