Geometrical properties of Riemannian superspaces, observables and physical states
arXiv:1205.5883 · doi:10.1140/epjc/s10052-012-2079-x
Abstract
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.
16 pags. 3 figures. To Anna Grigorievna Kartavenko and Academic Professor Alexei Norianovich Sissakian, in memoriam
References in corpus (2)
Cited by in corpus (7)
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