On p-form gauge theories and their conformal limits

A bstract Relations between the various formulations of nonlinear p-form electrodynamics with conformal-invariant weak-field and strong-field limits are clarified, a focus on duality invariant (2 n ? 1)-form chiral 2 -form in Minkowski spacetime dimension D = 4 + 2, respectively. We exhibit new family 2-form 6 for which these exhaust possibilities conformal invariance; limit is related by dimensional reduction to recently discovered ModMax generalisation Maxwell’s equations. For > 1 we show that ‘strong-field’ Sl (2; ?)-duality theory electrodynamics.