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Nonlocal gravity with worldline inversion symmetry.

Abel, Steven and Buoninfante, Luca and Mazumdar, Anupam (2020) 'Nonlocal gravity with worldline inversion symmetry.', Journal of high energy physics., 2020 (1). p. 3.


We construct a quadratic curvature theory of gravity whose graviton propagator around the Minkowski background respects wordline inversion symmetry, the particle approximation to modular invariance in string theory. This symmetry automatically yields a corresponding gravitational theory that is nonlocal, with the action containing infinite order differential operators. As a consequence, despite being a higher order derivative theory, it is ghost-free and has no degrees of freedom besides the massless spin-2 graviton of Einstein’s general relativity. By working in the linearised regime we show that the point-like singularities that afflict the (local) Einstein’s theory are smeared out.

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Publisher statement:This article is distributed under the terms of the Creative Commons Attribution License (CC-BY 4.0), which permits any use, distribution and reproduction in any medium, provided the original author(s) and source are credited
Date accepted:26 November 2019
Date deposited:13 January 2020
Date of first online publication:02 January 2020
Date first made open access:13 January 2020

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