Abelian p-form (p = 1, 2, 3) gauge theories as the field theoretic models for the Hodge theory

DOI10.1142/S0217751X14501358zbMath1301.81146arXiv1203.5519OpenAlexW2170477281MaRDI QIDQ2932739

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Publication date: 9 December 2014

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

Full work available at URL: https://arxiv.org/abs/1203.5519

zbMATH Keywords

Hodge theoryCurci-Ferrari conditions(anti-)BRST symmetries(anti-)co-BRST symmetries(dual-)gauge symmetry transformations(quasi-)topological field theoryabelian \(p\)-form \((p = 1, 2, 3)\) gauge theoriesself-duality condition

Mathematics Subject Classification ID

Yang-Mills and other gauge theories in quantum field theory (81T13) Quantization in field theory; cohomological methods (81T70) Topological field theories in quantum mechanics (81T45) Differential geometric methods, including holonomy, Berry and Hannay phases, Aharonov-Bohm effect, etc. in quantum theory (81Q70)

Related Items (14)

Augmented superfield approach to nilpotent symmetries of the modified version of 2D proca theory ⋮ Quantum gauge symmetry of reducible gauge theory ⋮ Christ-Lee model: augmented supervariable approach ⋮ Basic brackets of a 2D model for the Hodge theory without its canonical conjugate momenta ⋮ Nilpotent symmetries of a modified massive abelian 3-form theory: augmented superfield approach ⋮ Modified 2D Proca theory: revisited under BRST and (anti-)chiral superfield formalisms ⋮ Universal superspace unitary operator for some interesting abelian models: superfield approach ⋮ Nilpotent symmetries and Curci–Ferrari-type restrictions in 2D non-Abelian gauge theory: Superfield approach ⋮ Quantum gauge freedom in the Lorentz violating background ⋮ Some novel features in 2D non-Abelian theory: BRST approach ⋮ Constructing p, n-forms from p-forms via the Hodge star operator and the exterior derivative ⋮ A massive field-theoretic model for Hodge theory ⋮ Nilpotent and absolutely anticommuting symmetries in the Freedman–Townsend model: Augmented superfield formalism ⋮ 𝒩 = 4 supersymmetric quantum mechanical model: Novel symmetries

Cites Work

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• A field-theoretic model for Hodge theory
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• POISSON STRUCTURE INDUCED (TOPOLOGICAL) FIELD THEORIES
• New topological field theories in two dimensions
• An Interacting Gauge Field Theoretic Model for Hodge Theory: Basic Canonical Brackets
• TOPOLOGICALLY MASSIVE NON-ABELIAN THEORY: SUPERFIELD APPROACH
• WIGNER'S LITTLE GROUP AND BRST COHOMOLOGY FOR ONE-FORM ABELIAN GAUGE THEORY
• ONE-FORM ABELIAN GAUGE THEORY AS THE HODGE THEORY
• Becchi-Rouet-Stora-Tyutin cohomology of compact gauge algebras
• BRST COHOMOLOGY AND HODGE DECOMPOSITION THEOREM IN ABELIAN GAUGE THEORY
• Hodge decomposition theorem for Abelian two-form gauge theory
• Abelian 2-form gauge theory: special features
• BRST, anti-BRST and their geometry

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