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Emergent Spinor Fields from Exotic Spin Structures

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Author(s):
da Silva, J. M. Hoff ; da Rocha, R.
Total Authors: 2
Document type: Journal article
Source: PROGRESS OF THEORETICAL AND EXPERIMENTAL PHYSICS; v. 2024, n. 5, p. 19-pg., 2024-05-07.
Abstract

The classification of emergent spinor fields according to modified bilinear covariants is scrutinized in space-times with nontrivial topology, which induce inequivalent spin structures. Extended Clifford algebras, constructed by equipping the underlying space-time with an extended bilinear form with additional terms coming from the nontrivial topology, naturally yield emergent extended algebraic spinor fields and their subsequent extended bilinear covariants, which are contrasted to the classical spinor classification. An unexpected duality between the standard and the exotic spinor field classes is therefore established, showing that a complementary fusion process among the spinor field classes sets in, when extended Clifford bundles are addressed in multiply connected space-times. (AU)

FAPESP's process: 22/01734-7 - Gauge/gravity dualities, Navier-Stokes equations with soft-hair, and Dirac fluids
Grantee:Roldão da Rocha
Support Opportunities: Regular Research Grants
FAPESP's process: 21/01089-1 - Cherenkov Telescope Array: construction and first discoveries
Grantee:Luiz Vitor de Souza Filho
Support Opportunities: Special Projects