Actions for Non-Abelian Twisted Self-Duality
arXiv:1105.3216 · doi:10.1016/j.nuclphysb.2011.05.024
Abstract
The dynamics of abelian vector and antisymmetric tensor gauge fields can be described in terms of twisted self-duality equations. These first-order equations relate the p-form fields to their dual forms by demanding that their respective field strengths are dual to each other. It is well known that such equations can be integrated to a local action that carries on equal footing the p-forms together with their duals and is manifestly duality invariant. Space-time covariance is no longer manifest but still present with a non-standard realization of space-time diffeomorphisms on the gauge fields. In this paper, we give a non-abelian generalization of this first-order action by gauging part of its global symmetries. The resulting field equations are non-abelian versions of the twisted self-duality equations. A key element in the construction is the introduction of proper couplings to higher-rank tensor fields. We discuss possible applications (to Yang-Mills and supergravity theories) and comment on the relation to previous no-go theorems.
20 pages
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Cited by in corpus (7)
- (1,0) superconformal models in six dimensions
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- New superconformal models in six dimensions: Gauge group and representation structure
- Duality-symmetric actions for non-Abelian tensor fields
- Partition Functions for Maxwell Theory on the Five-torus and for the Fivebrane on S1XT5
- Non-Abelian Electric-Magnetic Duality with Supersymmetry in 4D and 10D
- Nonlinear (chiral) p-form electrodynamics