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arXiv · 2101.07297

Exploring the gravity sector of emergent higher-spin gravity: effective action and a solution

Stefan Fredenhagen·Harold C. Steinacker
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Abstract

We elaborate the description of the semi-classical gravity sector of Yang-Mills matrix models on a covariant quantum FLRW background. The basic geometric structure is a frame, which arises from the Poisson structure on an underlying $S^2$ bundle over space-time. The equations of motion for the associated Weitzenböck torsion obtained in arXiv:2002.02742 are rewritten in the form of Yang-Mills-type equations for the frame. An effective action is found which reproduces these equations of motion, which contains an Einstein-Hilbert term coupled to a dilaton, an axion and a Maxwell-type term for the dynamical frame. An explicit rotationally invariant solution is found, which describes a gravitational field coupled to the dilaton.

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Stefan Fredenhagen, Harold C. Steinacker. 2023-03-10. Exploring the gravity sector of emergent higher-spin gravity: effective action and a solution. https://doi.org/10.1007/jhep05(2021)183

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