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Nonlocal gravity with worldline inversion symmetry

Abel, Steven; Buoninfante, Luca; Mazumdar, Anupam

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Luca Buoninfante

Anupam Mazumdar


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.


Abel, S., Buoninfante, L., & Mazumdar, A. (2020). Nonlocal gravity with worldline inversion symmetry. Journal of High Energy Physics, 2020(1), Article 3.

Journal Article Type Article
Acceptance Date Nov 26, 2019
Online Publication Date Jan 2, 2020
Publication Date Jan 31, 2020
Deposit Date Jan 13, 2020
Publicly Available Date Jan 13, 2020
Journal Journal of High Energy Physics
Print ISSN 1126-6708
Publisher Scuola Internazionale Superiore di Studi Avanzati (SISSA)
Peer Reviewed Peer Reviewed
Volume 2020
Issue 1
Article Number 3


Published Journal Article (398 Kb)

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Copyright 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

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