20 research outputs found
Geometrical properties of Riemannian superspaces, observables and physical states
Classical and quantum aspects of physical systems that can be described by
Riemannian non degenerate superspaces are analyzed from the topological and
geometrical points of view. For the N=1 case the simplest supermetric
introduced in [Physics Letters B \textbf{661}, (2008),186] have the correct
number of degrees of freedom for the fermion fields and the super-momentum
fulfil the mass shell condition, in sharp contrast with other cases in the
literature where the supermetric is degenerate. This fact leads a deviation of
the 4-impulse (e.g. mass constraint) that can be mechanically interpreted as a
modification of the Newton's law. Quantum aspects of the physical states and
the basic states and the projection relation between them, are completely
described due the introduction of a new Majorana-Weyl representation of the
generators of the underlying group manifold. A new oscillatory fermionic effect
in the part of the vaccum solution involving the chiral and antichiral
components of this Majorana bispinor is explicitly shown.Comment: 16 pags. 3 figures. To Anna Grigorievna Kartavenko and Academic
Professor Alexei Norianovich Sissakian, in memoria
Charge without charge, regular spherically symmetric solutions and the Einstein-Born-Infeld theory
The aim of this paper is to continue the research of JMP 46, 042501 (2005) of
regular static spherically symmetric spacetimes in Einstein-Born-Infeld
theories from the point of view of the spacetime geometry and the
electromagnetic structure. The energy conditions, geodesic completeness and the
main features of the horizons of this spacetime are explicitly shown. A new
static spherically symmetric dyonic solution in Einstein-Born-Infeld theory
with similar good properties as in the regular pure electric and magnetic cases
of our previous work, is presented and analyzed. Also, the circumvention of a
version of "no go" theorem claiming the non existence of regular electric black
holes and other electromagnetic static spherically configurations with regular
center is explained by dealing with a more general statement of the problem.Comment: Figures in Int J Theor Phys (Online First
The simple solution of relativistic wave equations for charged particles in constant electric field and pair production
We obtained the generalization of the simple solution of Dirac equations for the electron in constant electric field on the case of the Kemmer-Duffin-Proca equations for the charged vector boson with arbitrary gyromagnetic ratio g moving in constant electric field. The pair production of spin 1/2 and spin 1 particles is discussed
Rotating charged Black Holes in Einstein-Born-Infeld theories and their ADM mass
In this work, the solution of the Einstein equations for a slowly rotating
black hole with Born-Infeld charge is obtained. Geometrical properties and
horizons of this solution are analyzed. The conditions when the ADM mass (as in
the nonlinear static cases) and the ADM angular momentum of the system have
been modified by the non linear electromagnetic field of the black hole, are
considered.Comment: Final version and figures in journal. References and comments adde
Non-compact Groups, Coherent States, Relativistic Wave Equations and the Harmonic Oscillator II: Physical and Geometrical Considerations
The physical meaning of the particularly simple non-degenerate supermetric,
introduced in the previous part by the authors, is elucidated and the possible
connection with processes of topological origin in high energy physics is
analyzed and discussed. New possible mechanism of the localization of the
fields in a particular sector of the supermanifold is proposed and the
similarity and differences with a 5-dimensional warped model are shown. The
relation with gauge theories of supergravity based in the group is
explicitly given and the possible original action is presented. We also show
that in this non-degenerate super-model the physic states, in contrast with the
basic states, are observables and can be interpreted as tomographic projections
or generalized representations of operators belonging to the metaplectic group
. The advantage of geometrical formulations based on non-degenerate
super-manifolds over degenerate ones is pointed out and the description and the
analysis of some interesting aspects of the simplest Riemannian superspaces are
presented from the point of view of the possible vacuum solutions.Comment: Stile of the text improved in Journa
Quaternionic and Hyper-K\"ahler Metrics from Generalized Sigma Models
The problem of finding new metrics of interest, in the context of SUGRA, is
reduced to two stages: first, solving a generalized BPS sigma model with full
quaternionic structure proposed by the authors and, second, constructing the
hyper-K\"{a}hler metric, or suitable deformations of this condition, taking
advantage of the correspondence between the quaternionic left-regular potential
and the hyper-K\"{a}hler metric of the target space. As illustration, new
solutions are obtained using generalized Q-sigma model for Wess-Zumino type
superpotentials. Explicit solutions analog to the Berger's sphere and
Abraham-Townsend type are given and generalizations of 4-dimensional
quaternionic metrics, product of complex ones, are shown and discussed.Comment: 8 pages, two column, no figure
Rotation and twist regular modes for trapped ghosts
A parameter-independent notion of stationary slow motion is formulated then
applied to the case of stationary rotation of massless trapped ghosts. The
excitations correspond to a rotation mode with angular momentum and
twist modes. It is found that the rotation mode, which has no parity, causes
excess in the angular velocity of dragged distant coordinate frames in one
sheet of the wormhole while in the other sheet the angular velocity of the
ghosts is that of rotating stars: . As to the twist modes, which all
have parity, they cause excess in the angular velocity of one of the throat's
poles with respect to the other.Comment: 11 pages, 3 figures; General Relativity and Gravitation - 201
Electrified BPS Giants: BPS configurations on Giant Gravitons with Static Electric Field
We consider D3-brane action in the maximally supersymmetric type IIB
plane-wave background. Upon fixing the light-cone gauge, we obtain the
light-cone Hamiltonian which is manifestly supersymmetric. The 1/2 BPS
solutions of this theory (solutions which preserve 16 supercharges) are either
of the form of spherical three branes, the giant gravitons, or zero size point
like branes. We then construct specific classes of 1/4 BPS solutions of this
theory in which static electric field on the brane is turned on. These
solutions are deformations about either of the two 1/2 BPS solutions. In
particular, we study in some detail 1/4 BPS configurations with electric dipole
on the three sphere giant, i.e. BIons on the giant gravitons, which we hence
call BIGGons. We also study BPS configurations corresponding to turning on a
background uniform constant electric field. As a result of this background
electric field the three sphere giant is deformed to squashed sphere, while the
zero size point like branes turn into circular or straight fundamental strings
in the plane-wave background, with their tension equal to the background
electric field.Comment: 32 pages, 1 eps figure; v2: Presentation of derivation of light-cone
Hamiltonian improved, Refs adde
Irreducible holonomy algebras of Riemannian supermanifolds
Possible irreducible holonomy algebras \g\subset\osp(p,q|2m) of Riemannian
supermanifolds under the assumption that \g is a direct sum of simple Lie
superalgebras of classical type and possibly of a one-dimensional center are
classified. This generalizes the classical result of Marcel Berger about the
classification of irreducible holonomy algebras of pseudo-Riemannian manifolds.Comment: 27 pages, the final versio