Chern–Simons forms on principal superfiber bundles

DOI10.1063/1.528826zbMath0717.58007OpenAlexW2044729085MaRDI QIDQ5748602

Claudio Bartocci, Ugo Bruzzo, Giovanni Landi

Publication date: 1990

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.528826

zbMATH Keywords

supermanifoldChern-Simons formssuperfibre bundle

Mathematics Subject Classification ID

Yang-Mills and other gauge theories in quantum field theory (81T13) Supermanifolds and graded manifolds (58A50)

Related Items (8)

Notes on super projective modules ⋮ Existence of connections on superbundles ⋮ Graded Hopf maps and fuzzy superspheres ⋮ Projective modules of finite type over the supersphere \(S^{2,2}\) ⋮ On a `super' version of Lie's third fundamental theorem ⋮ Super line bundles ⋮ Geometry of standard constraints and Weil triviality in supersymmetric gauge theories ⋮ The fuzzy supersphere

Cites Work

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• B.R.S. algebras. Analysis of the consistency equations in gauge theory
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• Super line bundles
• Geometry of standard constraints and Weil triviality in supersymmetric gauge theories
• Characteristic forms and geometric invariants
• Mathematical theory of super fibre bundles
• Characteristic classes of super vector bundles
• On the existence of global integral forms on supermanifolds
• Cohomology of the structure sheaf of real and complex supermanifolds
• A global theory of supermanifolds
• Super Lie groups: global topology and local structure
• Supermanifolds and BRS transformations
• The Yang-Mills equations over Riemann surfaces
• Cohomology of supermanifolds

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