Paolo Aschieri, Sergio Ferrara
We present a systematic study of nonlinear and higher derivatives extensions of electromagnetism. We prove that arbitrary (not necessarily self-dual) nonlinear equations of motion can be always obtained from a variational principle via an action functional S[F]. In the more general case of higher derivatives theories an iterative procedure is considered. It indicates that the "Deformed twisted self-duality condition" proposal originated in the context of supergravity counterterms is actually the general framework needed to discuss self-dual theories starting from a variational principle. We generalize to nonlinear and higher derivatives theories Schroedinger formulation of Born-Infeld theory, and for the latter, and more in general for nonlinear theories, we derive a closed form expression of the corresponding deformed twisted self-duality conditions. This implies that the hypergeometric expression entering these duality conditions and leading to Born-Infeld theory satisfies a hidden quartic equation.
View original:
http://arxiv.org/abs/1302.4737
No comments:
Post a Comment