Pith. sign in

REVIEW 6 cited by

Nonlinear Electromagnetic Self-Duality and Legendre Transformations

Not yet reviewed by Pith; the record is open.

Re-run · record.json Download PDF Read on arXiv ↗

This paper has not been read by Pith yet. Machine review is queued; the pith claim, tier, and objections will appear here once it completes.

SPECIMEN: schema-true, not a live event

T0 review · schema-true

One-sentence machine reading of the paper's core claim.

pith:XXXXXXXX · record.json · timestamp

arxiv hep-th/9712103 v1 pith:B7CNWI7G submitted 1997-12-10 hep-th

Mary K. Gaillard , Bruno Zumino This is my paper
classification hep-th
keywords continuouselectromagneticfieldslegendretransformationscaseclassicaldetail
verification ladder T0 review T1 audit T2 compute T3 formal
0 comments
read the original abstract

We discuss continuous duality transformations and the properties of classical theories with invariant interactions between electromagnetic fields and matter. The case of scalar fields is treated in some detail. Special discrete elements of the continuous group are shown to be related to the Legendre transformation with respect to the field strengths.

Discussion (0). Sign in to comment.

Forward citations

Cited by 6 Pith papers

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

  1. Heat kernel approach to the one-loop effective action for nonlinear electrodynamics

    hep-th 2026-01 unverdicted novelty 7.0 of 10

    The authors adapt heat kernel techniques to non-minimal operators and compute DeWitt coefficients a0, a1, a2 to leading order in weak background fields for general NLED, plus exact a0 for conformal theories, with caus...

  2. Black holes and causal nonlinear electrodynamics

    hep-th 2026-01 accept novelty 7.0 of 10

    Causal nonlinear electrodynamics forces a singular center and at most three phases for RN-asymptotic black holes, with monotonicity proofs showing reduced mass and entropy for extreme dyonic cases.

  3. Causal self-dual nonlinear electrodynamics from the Born-Infeld theory

    hep-th 2026-05 unverdicted novelty 6.0 of 10

    Auxiliary-field construction from Born-Infeld seed yields causal self-dual nonlinear electrodynamics that generally solve the self-duality equations.

  4. 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

    A single generating function encodes both 4D self-dual nonlinear electrodynamics and 2D integrable sigma models, and newly defined gamma flows preserve the root-T Tbar equation across generalized Born-Infeld, logarith...

  5. 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.

  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...

Pith tools