A Theorem on First-Order Interaction Vertices for Free p-Form Gauge Fields

Abstract

The complete proof of a theorem announced in [1] on the consistent interactions for (non-chiral) exterior form gauge fields is given. The theorem can be easily generalized to the analysis of anomalies. Its proof amounts to computing the local BRST cohomology H^0(s|d) in the space of local n-forms depending on the fields, the ghosts, the antifields and their derivatives.

18 pages, no figures, misquotes in references corrected

References in corpus (8)

• Dualisation of Dualities, II: Twisted self-duality of doubled fields and superdualities
• All consistent interactions for exterior form gauge fields
• Deformations of Chiral Two-Forms in Six Dimensions
• Superdualities, Brane Tensions and Massive IIA/IIB Duality
• D=4, N=1 Supersymmetric Henneaux-Knaepen Models
• The Wess-Zumino Consistency Condition For p-Form Gauge Theories
• Nonpolynomial gauge invariant interactions of 1-form and 2-form gauge potentials
• Exotic Gauge Theories from Tensor Calculus

Cited by in corpus (14)

• A Non-Abelian Self-Dual Gauge Theory in 5+1 Dimensions
• Non-abelian Action for Multiple Five-Branes with Self-Dual Tensors
• Asymptotic Symmetries in $p$-Form Theories
• Deformations of duality-symmetric theories
• Aspects of Infrared Modifications of Gravity
• TDiff and Weyl Invariant Massive Spin-2: Linear Theory
• Masses and Dualities in Extended Freedman-Townsend Models
• Non-Abelian Chiral 2-Form and M5-Branes
• 5d and 6d SCFTs Have No Weak Coupling Limit
• Classifying Galileon $p$-form theories
• Quadratic s-Form Field Actions with Semi-bounded Energy
• Gauge theories of Yang-Mills vector fields coupled to antisymmetric tensor fields
• Exotic Yang-Mills dilaton gauge theories
• Kinetic Terms for 2-Forms in Four Dimensions