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On p-form gauge theories and their conformal limits

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arxiv 2012.09286 v2 pith:AW3LOZU6 submitted 2020-12-16 hep-th

classification hep-th
keywords electrodynamicschiralformlimitsconformaldimensionaldualityinvariant
verification ladder T0 review T1 audit T2 compute T3 formal
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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.

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Cited by 6 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Tensionless limit of M5-brane and conformal symmetry of its bosonic body

    hep-th 2026-07 conditional novelty 6.0 of 10

    The tensionless M5-brane has a complete action whose bosonic sector is invariant under 11D conformal symmetry and reduces to conformal chiral 2-form electrodynamics when transverse fluctuations vanish.

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    hep-th 2026-07 conditional novelty 5.0 of 10

    A metric-compatible covariant variation of tensors has a non-closure anomaly that reproduces electromagnetic helicity flux under superrotations and generalizes to higher-spin and p-form radiative data.

  3. Root-$T\bar{T}$ Flows Unify 4D Duality-Invariant Electrodynamics and 2D Integrable Sigma Models

    hep-th 2025-07 conditional novelty 5.0 of 10

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  4. Nonlinear self-duality for arbitrary spin, superspin, and supersymmetry type

    hep-th 2026-02 conditional novelty 4.0 of 10

    Every U(1) duality-invariant (super)conformal gauge theory of arbitrary (super)spin obeys a universal self-duality equation, is Legendre self-dual, and (for spin > 1) lives only on conformally flat backgrounds.

  5. Branch structure and nonextensive thermodynamics of Kalb-Ramond-ModMax black holes: observational signatures

    gr-qc 2026-01 reject novelty 4.0 of 10

    A multi-channel phenomenological study of Einstein-Kalb-Ramond-ModMax black holes whose Tsallis internal energy does not reduce to the black-hole mass in the standard-entropy limit.

  6. On nonlinear self-duality in $4p$ dimensions

    hep-th 2026-01 conditional novelty 4.0 of 10

    Every 4D self-dual nonlinear electrodynamics model extends, via the same L(S,P) ansatz and equation, to U(1) duality-invariant (2p−1)-form theories in 4p dimensions (already in [19]); new here are a ModMax-type deform...

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