Democratic Lagrangians for Nonlinear Electrodynamics
Zhirayr Avetisyan1, Oleg Evnin2, Karapet Mkrtchyan3
1Department of Mathematics, University of California, Santa Barbara, California 93106-3080, USA and Regional Mathematical Center of Southern Federal University, Rostov-on-Don 344090, Russia.
Abstract:
We construct a Lagrangian for general nonlinear electrodynamics that features electric and magnetic potentials on equal footing. In the language of this Lagrangian, discrete and continuous electric-magnetic duality symmetries can be straightforwardly imposed, leading to a simple formulation for theories with the SO(2) duality invariance. When specialized to the conformally invariant case, our construction provides a manifestly duality-symmetric formulation of the recently discovered ModMax theory. We briefly comment on a natural generalization of this approach to p-forms in 2p+2 dimensions.
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