Actions for Non-Abelian Twisted Self-Duality

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.
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Submitted on : Wednesday, May 18, 2011 - 3:05:27 PM
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Henning Samtleben. Actions for Non-Abelian Twisted Self-Duality. Nuclear Physics B, Elsevier, 2011, 851 (2), pp.298. ⟨10.1016/j.nuclphysb.2011.05.024⟩. ⟨ensl-00594014⟩

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