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World Spinors: Group Representations and Field Equations

2004/10/08 by Djordje Sijacki
Physics and Astronomy · #hep-th

paper · pdf

published as SFIN 16 A1 (2003) 415

arxiv created 2004/10/08 · arxiv updated 2009/12/01

Abstract

The questions of the existence, basic algebraic properties and relevant constraints that yield a viable physical interpretation of world spinors are discussed in details. Relations between spinorial wave equations that transform respectively w.r.t. the tangent flat-space (anholonomic) Affine symmetry group and the world generic-curved-space (holonomic) group of Diffeomorphisms are presented. A geometric construction based on an infinite-component generalization of the frame fields (e.g. tetrads) is outlined. The world spinor field equation in 3D is treated in more details.

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