New Spinor Fields on Lorentzian 7-Manifolds

Abstract

This paper deals with the classification of spinor fields according to the bilinear covariants in 7 dimensions. The previously investigated Riemannian case is characterized by either one spinor field class, in the real case of Majorana spinors, or three non-trivial classes in the most general complex case. In this paper we show that by imposing appropriate conditions on spinor fields in 7d manifolds with Lorentzian metric, the formerly obtained obstructions for new classes of spinor fields can be circumvented. New spinor fields classes are then explicitly constructed. In particular, on 7-manifolds with asymptotically flat black hole background, these spinors can define a generalized current density which further defines a time Killing vector at the spatial infinity.

13 pages, improved, to match the final version accepted in JHEP

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Cited by in corpus (11)

• Revealing how different spinors can be: the Lounesto spinor classification
• Flag-dipole and flagpole spinors fluid flows in Kerr spacetimes
• The emergence of flagpole and flag-dipole fermions in fluid/gravity correspondence
• Opening the Pandora's box of quantum spinor fields
• On Wigner Degeneracy in Elko theory: Hermiticity and Dark Matter
• The role of singular spinor fields in a torsional gravity, Lorentz-violating, framework
• Hearing the shape of inequivalent spin structures and exotic Dirac operators
• New fermions in the bulk
• New spinor classes on the Graf-Clifford algebra
• The Graf product: a Clifford structure framework on the exterior bundle
• Emergent spinor fields from exotic spin structures