Variational calculus on supermanifolds and invariance properties of superspace field theories

DOI10.1063/1.527620zbMath0612.58010OpenAlexW2066049863MaRDI QIDQ3753161

Roberto Cianci, Ugo Bruzzo

Publication date: 1987

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

Full work available at URL: https://doi.org/10.1063/1.527620

zbMATH Keywords

superspace field theoriesvariational calculus on fibered supermanifolds

Mathematics Subject Classification ID

Analysis on supermanifolds or graded manifolds (58C50)

Related Items (2)

SUSY-EXTENDED FIELD THEORY ⋮ The global Utiyama theorem in Einstein–Cartan theory

Cites Work

• Superanalysis, I. Differential calculus
• An existence result for super Lie groups
• Structure of supermanifolds and supersymmetry transformations
• Global properties of supermanifolds
• On the structure of superfields in a field theory on a supermanifold
• Superanalysis. II: Integral calculus
• Berezin integration on general fermionic supermanifolds
• Superspaces and supersymmetries
• Noether equations and conservation laws
• Symplectic approach to the theory of quantized fields. I
• Generalized supermanifolds. I. Superspaces and linear operators
• Mathematical theory of super fibre bundles
• Supermanifolds and automorphisms of super Lie groups
• Consistent superspace integration
• On the body of supermanifolds
• On the existence of global integral forms on supermanifolds
• Differential equations, Frobenius theorem and local flows on supermanifolds
• Realizing the Berezin integral as a superspace contour integral
• A global theory of supermanifolds
• Super Lie groups: global topology and local structure

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