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The Lounesto classification is a well-established scheme for categorizing spinors based on their physical content, which are determined by their associated bilinear forms. It consists of six disjoint classes encompassing the known spinors…

The Lounesto spinor classification is an important tool in fundamental physics, because it makes explicit the pleiade of spinors types, beyond the used in quantum field theory (QFT). In this work, we show how the classification emerges in…

数学物理 · 物理学 2017-03-13 J. A. Silva Neto

The Lounesto classification splits spinors in six classes: I, II, III are those for which at least one among scalar and pseudo-scalar bi-linear spinor quantities is non-zero, its spinors are called regular, and among them we find the usual…

广义相对论与量子宇宙学 · 物理学 2020-02-04 Roberto Cianci , Luca Fabbri , Stefano Vignolo

In this paper we advance into a generalized spinor classification, based on the so-called Lounesto's classification. The program developed here is based on an existing freedom on the spinorial dual structures definition, which, in a certain…

高能物理 - 理论 · 物理学 2020-03-12 C. H. Coronado Villalobos , R. J. Bueno Rogerio , A. R. Aguirre , D. Beghetto

After reviewing the Lounesto spinor field classification, according to the bilinear covariants associated to a spinor field, we call attention and unravel some prominent features involving unexpected properties about spinor fields under…

高能物理 - 理论 · 物理学 2015-06-12 J. M. Hoff da Silva , Roldão da Rocha

We recall the Lounesto classification of 1/2-spin spinor fields, based on the vanishing of spinorial bilinear quantities: the classes are the regular spinor fields (i.e. the Dirac field), as well as singular spinor fields, also known as…

数学物理 · 物理学 2026-01-26 Luca Fabbri

Dirac linear spinor fields were obtained from non-linear Heisenberg spinors, in the literature. Here we extend that idea by considering not only Dirac spinor fields but spinor fields in any of the Lounesto's classes. When one starts…

高能物理 - 理论 · 物理学 2019-03-25 Marcos R. A. Arcodía , Mauricio Bellini , Roldao da Rocha

In the present communication we employ a split programme applied to spinors belonging to the regular and singular sectors of the Lounesto's classification, looking towards to unveil how it can be built or defined upon two spinors…

数学物理 · 物理学 2020-04-03 R. J. Bueno Rogerio

The so-called Lounesto's classification engenders six distinct classes of spinors, divided into two sectors: one composed by regular spinors (single-helicity spinors) and the other composed by singular spinors (comprising dual-helicity…

综合物理 · 物理学 2019-11-19 R. J. Bueno Rogerio

This paper proves that from the algebraic point of view ELKO spinor fields belong together with Majorana spinor fields to a wider class of spinor fields, the so-called flagpole spinor fields, corresponding to the class 5, according to…

数学物理 · 物理学 2008-11-26 Roldao da Rocha , Waldyr Alves Rodrigues

Lounesto's classification of spinors is a comprehensive and exhaustive algorithm that, based on the bilinears covariants, discloses the possibility of a large variety of spinors, comprising regular and singular spinors and their unexpected…

高能物理 - 理论 · 物理学 2018-02-28 L. Bonora , J. M. Hoff da Silva , R. da Rocha

Extending the investigations about the theory of duals, we analyze duals built up with the aid of discrete symmetry operators. We scrutinize algebraic and physical constraints (encompassing them in a theoretical scope) in order to verify…

高能物理 - 理论 · 物理学 2022-10-05 J. M. Hoff da Silva , R. J. Bueno Rogerio , N. C. R. Quinquiolo

Within the context of the extended bi-spinor gauge theory we describe a new off-shell realization of scalar supersymmetry (s-susy) of massless interacting fields with U(1), U(1) x SU(N) and U(1) x SU(N_1) x SU(N_2) gauge groups. S-susy acts…

高能物理 - 理论 · 物理学 2017-10-18 Alex Jourjine

We survey a new approach to the duality-invariant systems of nonlinear electrodynamics, based on introducing auxiliary bi-spinor fields. In this approach, the entire information about the given self-dual system is encoded in the U(1)…

高能物理 - 理论 · 物理学 2015-06-17 Evgeny Ivanov , Olaf Lechtenfeld , Boris Zupnik

Dual-helicity eigenspinors of the charge conjugation operator (ELKO spinor fields) belong, together with Majorana spinor fields, to a wider class of spinor fields, the so-called flagpole spinor fields, corresponding to the class (5),…

数学物理 · 物理学 2008-11-26 Roldao da Rocha , Julio M. Hoff da Silva

A classification of spinor fields according to the associated bilinear covariants is constructed in arbitrary dimensions and metric signatures, generalizing Lounesto's 4D spinor field classification. In such a generalized classification a…

高能物理 - 理论 · 物理学 2015-02-17 L. Bonora , K. P. S. de Brito , Roldao da Rocha

We investigate the constraint equations of the Lounesto spinor fields classification and show that it can be used to completely characterize all the singular classes, which are potential accommodations for further mass dimension one…

高能物理 - 理论 · 物理学 2014-10-17 R. T. Cavalcanti

This work has as the main aim to explore the nature of the fermionic fields, through a classification of spinor fields about physical space of interest, such as the bulk and the compactified space $S^7$ from the supergravity theories. This…

高能物理 - 理论 · 物理学 2017-06-20 K. P. S. de Brito

For a general class of SO(4) symmetric backgrounds in type II-supergravity, we show that the action of non-Abelian T-duality can be described via consistent truncation to seven dimensional theories with seemingly massive modes. As such, any…

高能物理 - 理论 · 物理学 2015-06-05 Georgios Itsios , Yolanda Lozano , Eoin Ó Colgáin , Konstadinos Sfetsos

We consider the Riemann-Cartan geometry as a basis for the Einstein-Sciama-Kibble theory coupled to spinor fields: we focus on $f(R)$ and conformal gravities, regarding the flag-dipole spinor fields, type-(4) spinor fields under the…

广义相对论与量子宇宙学 · 物理学 2013-10-31 Roldao da Rocha , Luca Fabbri , J. M. Hoff da Silva , R. T. Cavalcanti , J. A. Silva-Neto
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