Covariant procedures for perturbative non-linear deformation of duality-invariant theories

Details Covariant procedures for perturbative non-linear deformation of duality-invariant theories Covariant procedures for perturbative non-linear deformation of duality-invariant theories

2011-08-22

arxiv.org/abs/1108.4390v3

Phys.Rev. D85 (2012) 025007

Physics

High Energy Physics

High Energy Physics - Theory

21 pages, 0 figures. v3: maching PRD version

Scientific paper

10.1103/PhysRevD.85.025007

We analyze a recent conjecture regarding the perturbative construction of non-linear deformations of all classically duality invariant theories, including N=8 supergravity. Starting with an initial quartic deformation, we engineer a procedure that generates a particular non-linear deformation (Born-Infeld) of the Maxwell theory. This procedure requires the introduction of an infinite number of modifications to a constraint which eliminates degrees of freedom consistent with the duality and field content of the system. We discuss the extension of this procedure to N=1 and N=2 supersymmetric theories, and comment on its potential to either construct new supergravity theories with non-linear Born-Infeld type duality, or to constrain the finiteness of N=8 supergravity.

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