Revealing how different spinors can be: the Lounesto spinor classification

Abstract

This paper aims to give a coordinate based introduction to the so-called Lounesto spinorial classification scheme. We introduce the main ideas and aspects of this spinorial categorization in an argumentative basis, after what we delve into a commented account on recent results obtained from (and within) this branch of research.

arXiv commentbrief review of the Lounesto spinor fileds classification and further developments

References in corpus (21)

• Spin half fermions with mass dimension one: theory, phenomenology, and dark matter
• Where are ELKO Spinor Fields in Lounesto Spinor Field Classification?
• Flag-Dipole Spinor Fields in ESK Gravities
• From Dirac spinor fields to ELKO
• Classification of Singular Spinor Fields and Other Mass Dimension One Fermions
• The theory of local mass dimension one fermions of spin one half
• Unfolding Physics from the Algebraic Classification of Spinor Fields
• Exotic Dark Spinor Fields
• Bilinear Covariants and Spinor Fields Duality in Quantum Clifford Algebras
• From Dirac Action to ELKO Action
• On the bilinear covariants associated to mass dimension one spinors
• Spinor Fields Classification in Arbitrary Dimensions and New Classes of Spinor Fields on 7-Manifolds
• New Spinor Fields on Lorentzian 7-Manifolds
• Questing for Algebraic Mass Dimension One Spinor Fields
• Flag-dipole and flagpole spinors fluid flows in Kerr spacetimes
• The geometric algebra of Fierz identities in arbitrary dimensions and signatures
• The Entropy for General Extremal Black Holes
• The Construction of Spinors in Geometric Algebra
• Helicity -- from Clifford to Graphene
• New fermions in the bulk
• Towards A Possible Fluid Flow Underlying the Kerr Spacetime

Cited by in corpus (25)

• Further investigation of mass dimension one fermionic duals
• Weyl and Majorana Spinors as Pure Goldstone Bosons
• Unveiling Mapping Structures of Spinor Duals
• Polar Form of Spinor Fields from Regular to Singular: the Flag-Dipoles
• Opening the Pandora's box of quantum spinor fields
• Regular spinors and fermionic fields
• Unveiling a spinor field classification with non-Abelian gauge symmetries
• ELKO in Polar Form
• Non-Trivial Effects of Sourceless Forces for Spinors: Toward an Aharonov-Bohm gravitational effect?
• The Heisenberg spinor field classification and its interplay with the Lounesto's classification
• Subliminal aspects concerning the Lounesto's classification
• Axially-Symmetric Exact Solutions for Flagpole Fermions with Gravity
• The Tensorial Connections
• Singular spinors as expansion coefficients of local spin-half fermionic and bosonic fields: On the two-fold Wigner degeneracy
• Spinor Adjoints, Gauge Invariance and a new Road to Sterile Neutrinos
• The most complete mass-dimension four topological gravity
• Re-normalizable Chern-Simons Extension of Propagating Torsion Theory
• Necessity of Tensorial Connections for Spinorial Systems
• General Spin Sums in Quantum Field Theory
• Geometry of spinors: doubly-chiral plane-wave expansion
• Wigner multiplets in QFT: from Wigner degeneracy to Elko fields
• Unraveling the Physical Meaning Behind Elko's Dual structure
• A Covariant Framework for Generalized Spinor Dual Structures
• Chern-Simons Extension of ESK Theory
• The Most General Propagator in Quantum Field Theory