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Nonlinear (chiral) p-form electrodynamics

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arxiv 2205.02522 v2 pith:NMKH2HQM submitted 2022-05-05 hep-th

Zhirayr Avetisyan , Oleg Evnin , Karapet Mkrtchyan This is my paper · ORCID
classification hep-th
keywords dimensionslagrangianchiralinteractionstheorieselectrodynamicsformsfurther
verification ladder T0 review T1 audit T2 compute T3 formal
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In our previous article Phys. Rev. Lett. 127 (2021) 271601, we announced a novel 'democratic' Lagrangian formulation of general nonlinear electrodynamics in four dimensions that features electric and magnetic potentials on equal footing. Here, we give an expanded and more detailed account of this new formalism, and then proceed to push it significantly further by building the corresponding Lagrangian theories of higher form field interactions in arbitrary dimensions. Special attention is given to interactions of chiral 2k-forms in 4k+2 dimensions, with further details for 2-forms in 6 dimensions and 4-forms in 10 dimensions. We comment more broadly on the structure of covariant equations of motion for chiral fields, and on the place of our Lagrangian theories in this context. The Lagrangian theories we develop are simple and explicit, and cover a much broader class of interactions than all past attempts in the literature.

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Cited by 5 Pith papers

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  1. Monopoles, Dirac Strings and Generalised Symmetries

    hep-th 2024-11 accept novelty 7.0 of 10

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    hep-th 2025-01 conditional novelty 6.0 of 10

    Boundary reduction of 3d higher-spin Chern-Simons gravity yields covariant and gauge-fixed higher-derivative chiral-scalar actions for arbitrary spin s, with a factorized kinetic operator and special zero-mode backgrounds.

  3. SymTFTs for $U(1)$ symmetries from descent

    hep-th 2024-11 conditional novelty 6.0 of 10

    Symmetry descent is extended from discrete to continuous U(1) higher-form symmetries, yielding SymTFTs that match the Antinucci-Benini and Brennan-Sun constructions.

  4. Type IIB Supergravity Action and Holography

    hep-th 2026-03 accept novelty 5.5 of 10

    A milder topological correction to the PST Type IIB action yields non-vanishing on-shell values matching holography for Lunin-Maldacena and AdS4 S-fold backgrounds.

  5. 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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