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arXiv · 1108.4390

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

John Joseph M. Carrasco·Renata Kallosh·Radu Roiban
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Abstract

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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John Joseph M. Carrasco, Renata Kallosh, Radu Roiban. 2012-03-27. Covariant procedures for perturbative non-linear deformation of duality-invariant theories. https://doi.org/10.1103/physrevd.85.025007

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