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 Web site:||https://doi.org/10.1007/JHEP01(2020)003|
|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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