Born-Infeld with Higher Derivatives

Abstract

We present new models of non-linear electromagnetism which satisfy the Noether-Gaillard-Zumino current conservation and are, therefore, self-dual. The new models differ from the Born-Infeld-type models in that they deform the Maxwell theory starting with terms like $\lambda (\partial F{)}^4$. We provide a recursive algorithm to find all higher order terms in the action of the form ${\lambda }^n{\partial }^{4n}{F}^{2n+2}$, which are necessary for the U(1) duality current conservation. We use one of these models to find a self-dual completion of the $\lambda (\partial F{)}^4$ correction to the open string action. We discuss the implication of these findings for the issue of UV finiteness of $\mathcal{N}=8$ supergravity.

10 pages, revtex4, no figures, 1 table, new reference added, minor typos corrected, accepted for publication in PRD

References in corpus (4)

• Covariant procedures for perturbative non-linear deformation of duality-invariant theories
• N=8 Counterterms and E7(7) Current Conservation
• The D^{2k} R^4 Invariants of N=8 Supergravity
• Selfduality of non-linear electrodynamics with derivative corrections

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