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Universal Spin Structure in Gauge Gravitation Theory

1997/05/21 by G. Giachetta, Giachetta, G., L. Mangiarotti +3
Mathematics · Physics and Astronomy · #Advanced Differential Geometry Research #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #Differential Geometry (math.DG) #FOS: Mathematics #FOS: Physical sciences #General Relativity and Quantum Cosmology (gr-qc) #High Energy Physics - Theory (hep-th) #dg-ga #gr-qc #hep-th #math.DG

paper · pdf · doi:10.48550/arxiv.gr-qc/9705058

39 pages, LaTex

arxiv created 1997/05/21 · openalex publication_date 1997/05/21 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Building on the universal covering group of the general linear group, we introduce the composite spinor bundle whose subbundles are Lorentz spin structures associated with different gravitational fields. General covariant transformations of this composite spinor bundle are canonically defined.

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