On p-form gauge theories and their conformal limits
Abstract
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.
Cite
@article{arxiv.2012.09286,
title = {On p-form gauge theories and their conformal limits},
author = {Igor Bandos and Kurt Lechner and Dmitri Sorokin and Paul K. Townsend},
journal= {arXiv preprint arXiv:2012.09286},
year = {2021}
}
Comments
46 pp. Minor corrections plus Note Added with additional references in v2