2020/12/31 by Igor Bandos, Kurt Lechner, Dmitri Sorokin +2 · 1 citation
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Classical electromagnetism #Conformal map #Conformal symmetry #Cosmology and Gravitation Theories #Duality (order theory) #Gauge theory #Invariant (physics) #Limit (mathematics) #Mathematical analysis #Mathematical physics #Mathematics #Minkowski space #Noncommutative and Quantum Gravity Theories #Nonlinear system #Physics #Pure mathematics #Quantum electrodynamics #Quantum mechanics #Spacetime #Stochastic electrodynamics #hep-th
paper · pdf · doi:10.1007/jhep03(2021)022
46 pp. Minor corrections plus Note Added with additional references in v2
arxiv created 2021/03/01 · openalex publication_date 2021/03/01 · arxiv updated 2021/03/17 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
A bstract 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 (2 n − 1)-form electrodynamics and chiral 2 n -form electrodynamics in Minkowski spacetime of dimension D = 4 n and D = 4 n + 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’ 2 n -form electrodynamics is related by dimensional reduction to a new Sl (2; ℝ)-duality invariant theory of (2 n − 1)-form electrodynamics.