2006/09/11 by G. Sardanashvily, Sardanashvily, G. · 1 citation
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #FOS: Physical sciences #General Relativity and Quantum Cosmology (gr-qc) #High Energy Physics - Theory (hep-th) #Mathematical Physics (math-ph) #Particle physics theoretical and experimental studies #gr-qc #hep-th #math-ph #math.MP
paper · pdf · doi:10.48550/arxiv.hep-th/0609070
21 pages
arxiv created 2006/09/11 · openalex publication_date 2006/09/11 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
By virtue of the well-known theorem, a structure Lie group G of a principal bundle P is reducible to its closed subgroup H iff there exists a global section of the quotient bundle P/H. In gauge theory, such sections are treated as classical Higgs fields, and are exemplified by Riemannian and pseudo-Riemannian metrics. This theorem is extended to a certain class of principal superbundles, including a graded frame superbundle with a structure general linear supergroup. Each reduction of this structure supergroup to an orthgonal-symplectic supersubgroup is associated to a supermetric on a base supermanifold.