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Nonlinear self-duality in 4p dimensions

Sergei M. Kuzenko

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Phys. Rev. D 114, 065007 – Published 8 September, 2026

DOI: https://doi.org/10.1103/5fnm-4v1n

Abstract

Building on the earlier work by Araki and Tanii, Aschieri et al., and Buratti et al., we demonstrate that every model for self-dual nonlinear electrodynamics in four dimensions has a U(1) duality-invariant extension to 4p>4 dimensions, and construct new self-dual nonlinear theories for a gauge (2p−1)-form. We present a family of models for self-dual nonlinear (2p−1)-form electrodynamics in which the trace of the energy-momentum tensor determines the flow with respect to a duality-invariant deformation parameter. Finally, we propose the interesting problem of computing the so-called induced action in the case that self-dual (2p−1)-form electrodynamics is coupled to dilaton and axion fields, and the compact duality group U(1) is enhanced to the noncompact group SL(2,R).

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Phys. Rev. D 114, 065007– Published 8 September, 2026
  • Received 13 June 2026
  • Accepted 24 July 2026
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Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article’s title, journal citation, and DOI. Funded by SCOAP3.

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