Seminar Henning Samtleben

Henning Samtleben
ENS Lyon
Action for Non-Abelian Twisted Self-Duality

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 (since the work of Henneaux-Teitelboim and Schwarz-Sen) that these 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 four-dimensional space-time diffeomorphisms on the gauge fields. In this talk, I give a non-abelian generalization of this first-order action by gauging part of its global symmetries. The resulting field equations are a non-abelian version of the twisted self-duality equations. A key element in the construction is the introduction of proper couplings to higher rank tensor fields. I discuss possible applications (to Yang-Mills and supergravity theories) and comment on the relation to previous no-go theorems.

Thursday, May 26, 2011 - 11:00 - 12:00