6,462 research outputs found
Non-Associativity in the Clifford Bundle on the Parallelizable Torsion 7-Sphere
In this paper we discuss generalized properties of non-associativity in
Clifford bundles on the 7-sphere S7. Novel and prominent properties inherited
from the non-associative structure of the Clifford bundle on S7 are
demonstrated. They naturally lead to general transformations of the spinor
fields on S7 and have dramatic consequences for the associated Kac-Moody
current algebras. All additional properties concerning the non-associative
structure in the Clifford bundle on S7 are considered. We further discuss and
explore their applications.Comment: 16 page
On Clifford Subalgebras, Spacetime Splittings and Applications
Z2-gradings of Clifford algebras are reviewed and we shall be concerned with
an alpha-grading based on the structure of inner automorphisms, which is
closely related to the spacetime splitting, if we consider the standard
conjugation map automorphism by an arbitrary, but fixed, splitting vector.
After briefly sketching the orthogonal and parallel components of products of
differential forms, where we introduce the parallel [orthogonal] part as the
space [time] component, we provide a detailed exposition of the Dirac operator
splitting and we show how the differential operator parallel and orthogonal
components are related to the Lie derivative along the splitting vector and the
angular momentum splitting bivector. We also introduce multivectorial-induced
alpha-gradings and present the Dirac equation in terms of the spacetime
splitting, where the Dirac spinor field is shown to be a direct sum of two
quaternions. We point out some possible physical applications of the formalism
developed.Comment: 22 pages, accepted for publication in International Journal of
Geometric Methods in Modern Physics 3 (8) (2006
False Vacuum Transitions - Analytical Solutions and Decay Rate Values
In this work we show a class of oscillating configurations for the evolution
of the domain walls in Euclidean space. The solutions are obtained
analytically. Phase transitions are achieved from the associated fluctuation
determinant, by the decay rates of the false vacuum.Comment: 6 pages, improved to match the final version to appear in EP
The emergence of flagpole and flag-dipole fermions in fluid/gravity correspondence
The emergence of flagpole and flag-dipole singular spinor fields is explored,
in the context of fermionic sectors of fluid/gravity correspondence, arising
from the duality between the gravitino, in supergravity, and the phonino, in
supersymmetric hydrodynamics. Generalized black branes, whose particular case
consists of the AdS--Schwarzschild black brane, are regarded. The
correspondence between hydrodynamic transport coefficients, and the universal
absorption cross sections of the generalized black branes, is extended to
fermionic sectors, including supersound diffusion constants. A free parameter,
in the generalized black brane solution, is shown to control the flipping
between regular and singular fermionic solutions of the equations of motion for
the gravitino.Comment: 8 page
Mimicking Nanoribbon Behavior Using a Graphene Layer on SiC
We propose a natural way to create quantum-confined regions in graphene in a
system that allows large-scale device integration. We show, using
first-principles calculations, that a single graphene layer on a trenched
region of mimics i)the energy bands around the Fermi level
and ii) the magnetic properties of free-standing graphene nanoribbons.
Depending on the trench direction, either zigzag or armchair nanoribbons are
mimicked. This behavior occurs because a single graphene layer over a
surface loses the graphene-like properties, which are restored solely over the
trenches, providing in this way a confined strip region.Comment: 4 pages, 4 figure
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