Matter-coupled higher spin gravities in 3d: no- and yes-go results

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Matter-coupled higher spin gravities in 3d: no- and yes-go results	664 KB	Adobe Acrobat PDF	Read	Download
DOI Доступ к ресурсу на сайте издателя			10.1007/JHEP04(2025)155

Title: Matter-coupled higher spin gravities in 3d: no- and yes-go results
Creator: Sharapov, Alexey A.
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Skvortsov, Evgeny D.
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Sukhanov, Arseny
Date: 2025
DOI: 10.1007/JHEP04(2025)155
Description: Massless higher-spin fields show no preference for any value of the cosmological constant in 3d. All matter-free higher-spin gravities in 3d are equivalent to Chern-Simons theories with an appropriate choice of gauge algebra. For various reasons, including holography, it is important to enrich them with matter fields. In (A)dS3, the coupling of matter fields to higher-spin fields is well-known to the leading order and is determined by the representation theory. We extend this result to flat space, where the relevant higher-spin algebra is the Poisson algebra, aka w1+∞. However, we show that both in flat and (A)dS3 spaces there are no nontrivial higher order deformations/interactions. Nevertheless, by enlarging the field content with some auxiliary fields and taking advantage of the chiral higher-spin gravity’s vertices, it is possible to construct an exotic matter-coupled theory on (A)dS3 that is perturbatively local. It also admits a flat limit. The equations of motion have the form of a Poisson sigma-model and a meaningful action has the form of a Courant sigma-model. We also explore the potential for embedding this theory into a holographic duality.