Nilpotent charges in an interacting gauge theory and an 𝒩 = 2 SUSY quantum mechanical model: (Anti-)chiral superfield approach

DOI10.1142/S0217751X19501318zbMath1471.81068arXiv1712.05242OpenAlexW3102810986MaRDI QIDQ5010173

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Publication date: 24 August 2021

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

Full work available at URL: https://arxiv.org/abs/1712.05242

zbMATH Keywords

nilpotency property(anti-)BRST symmetries(anti-)chiral supervariable approach(anti-)BRST charges(anti-)chiral superfield approach\( \mathcal{N} = 2\) SUSY charges\( \mathcal{N} = 2\) SUSY harmonic oscillator\( \mathcal{N} = 2\) SUSY symmetriesabsolute anticommutativity propertyinteracting non-abelian 1-form gauge theory with Dirac fields

Mathematics Subject Classification ID

Unified quantum theories (81V22) Supersymmetric field theories in quantum mechanics (81T60) Yang-Mills and other gauge theories in quantum field theory (81T13) Quantum field theory on lattices (81T25) Finite-dimensional groups and algebras motivated by physics and their representations (81R05) Functional analysis on superspaces (supermanifolds) or graded spaces (46S60) Fermionic systems in quantum theory (81V74)

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Cites Work

• Unnamed Item
• \(\mathcal N=2\) SUSY symmetries for a moving charged particle under influence of a magnetic field: Supervariable approach
• Abelian 2-form gauge theory: superfield formalism
• Cartan pairs
• Nilpotent symmetries of a \(4D\) model of Hodge theory: Augmented (anti-)chiral superfield formalism
• Novel symmetries in an interacting 𝒩 = 2 supersymmetric quantum mechanical model
• Geometrical structure of Faddeev–Popov fields and invariance properties of gauge theories
• (Anti-)chiral supervariable approach to nilpotent and absolutely anticommuting conserved charges of reparametrization invariant theories: A couple of relativistic toy models as examples
• (Anti-)chiral superfield approach to interacting Abelian 1-form gauge theories: Nilpotent and absolutely anticommuting charges
• Superfield approach to symmetries for matter fields in Abelian gauge theories
• Nilpotent and absolutely anticommuting symmetries in the Freedman–Townsend model: Augmented superfield formalism
• Superfield approach to nilpotent symmetries for QED from a single restriction: an alternative to the horizontality condition