Actions for Non-Abelian Twisted Self-Duality

Understand

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.