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.

46 pp. Minor corrections plus Note Added with additional references in v2

References in corpus (10)

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• Light-cone M5 and multiple M2-branes
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• Self-interacting chiral p-forms in higher dimensions
• Geometrical Aspects of An Abelian (2,0) Action
• Type II Actions from 11-Dimensional Chern-Simons Theories
• On Lagrangian approach to self-dual gauge fields in spacetime of nontrivial topology
• Conformal invariance: from Weyl to SO(2,d)

Cited by in corpus (54)

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