On p-form gauge theories and their conformal limits

Abstract

Relations between the various formulations of nonlinear p-form electrodynamics with conformal-invariant weak-field and strong-field limits are clarified, with a focus on duality invariant (2n-1)-form electrodynamics and chiral 2n-form electrodynamics in Minkowski spacetime of dimension D=4n and D=4n+2, respectively. We exhibit a new family of chiral 2-form electrodynamics in D=6 for which these limits exhaust the possibilities for conformal invariance; the weak-field limit is related by dimensional reduction to the recently discovered ModMax generalisation of Maxwell's equations. For n>1 we show that the chiral `strong-field' 2n-form electrodynamics is related by dimensional reduction to a new Sl(2;R)-duality invariant theory of (2n-1)-form electrodynamics.

46 pp. Minor corrections plus Note Added with additional references in v2

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Cited by in corpus (8)

• Maximally symmetric nonlinear extension of electrodynamics and charged particles
• Magnetic black holes with generalized ModMax model of nonlinear electrodynamics
• Marginal $T\bar{T}$-Like Deformation and ModMax Theories in Two Dimensions
• Polynomial Duality-Symmetric Lagrangians for Free p-Forms
• M5-brane in the superspace approach
• Coupling ModMax theory precursor with scalars, and BIon-type solutions
• On generalized ModMax model of nonlinear electrodynamics
• Metric approach to a $\mathrm{T}\bar{\mathrm{T}}-$like deformation in arbitrary dimensions