TY  - JOUR
PB  - SciPost Foundation
DO  - 10.21468/SciPostPhys.14.6.162
TI  - Chiral higher spin gravity and convex geometry
PY  - 2023/06/20
UR  - https://www.scipost.org/SciPostPhys.14.6.162
JF  - SciPost Physics
JA  - SciPost Phys.
VL  - 14
IS  - 6
SP  - 162
A1  - Sharapov, Alexey
AU  - Skvortsov, Evgeny
AU  - van Dongen, Richard
AB  - Chiral Higher Spin Gravity is the minimal extension of the graviton with propagating massless higher spin fields. It admits any value of the cosmological constant, including zero. Its existence implies that Chern-Simons vector models have closed subsectors and supports the $3d$ bosonization duality. In this letter, we explicitly construct an $A_\infty$-algebra that determines all interaction vertices of the theory. The algebra turns out to be of pre-Calabi-Yau type. The corresponding products, some of which originate from Shoikhet-Tsygan-Kontsevich formality, are given by integrals over the configuration space of convex polygons.
ER  -

@Article{10.21468/SciPostPhys.14.6.162,
	title={{Chiral higher spin gravity and convex geometry}},
	author={Alexey Sharapov and Evgeny Skvortsov and Richard van Dongen},
	journal={SciPost Phys.},
	volume={14},
	pages={162},
	year={2023},
	publisher={SciPost},
	doi={10.21468/SciPostPhys.14.6.162},
	url={https://scipost.org/10.21468/SciPostPhys.14.6.162},
}