HOLONOMY IN ROGERS SUPERMANIFOLDS WITH APPLICATIONS TO SUPER YANG–MILLS THEORY

DOI10.1142/S0219887811005221zbMath1220.81163OpenAlexW1988490328WikidataQ57436583 ScholiaQ57436583MaRDI QIDQ3007744

James S. Cook, Ronald O. Fulp

Publication date: 17 June 2011

Published in: International Journal of Geometric Methods in Modern Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0219887811005221

zbMATH Keywords

holonomysuper Yang-Mills theorysupermanifolds

Mathematics Subject Classification ID

Supersymmetric field theories in quantum mechanics (81T60) Yang-Mills and other gauge theories in quantum field theory (81T13) Differential geometric methods, including holonomy, Berry and Hannay phases, Aharonov-Bohm effect, etc. in quantum theory (81Q70) Functional analysis on superspaces (supermanifolds) or graded spaces (46S60)

Cites Work

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• Infinite-dimensional super Lie groups
• Superspaces and supersymmetries
• Geometry of standard constraints and Weil triviality in supersymmetric gauge theories
• Structure groups and holonomy in infinite dimensions
• Mathematical theory of super fibre bundles
• Differential equations, Frobenius theorem and local flows on supermanifolds
• A global theory of supermanifolds