Strong homotopy algebras for chiral higher spin gravity via Stokes theorem

Autor: Alexey Sharapov, Evgeny Skvortsov, Richard Van Dongen
Jazyk: angličtina
Rok vydání: 2024
Předmět:
Zdroj: Journal of High Energy Physics, Vol 2024, Iss 6, Pp 1-86 (2024)
Druh dokumentu: article
ISSN: 1029-8479
DOI: 10.1007/JHEP06(2024)186
Popis: Abstract Chiral higher spin gravity is defined in terms of a strong homotopy algebra of pre-Calabi-Yau type (noncommutative Poisson structure). All structure maps are given by the integrals over the configuration space of concave polygons and the first two maps are related to the (Shoikhet-Tsygan-)Kontsevich Formality. As with the known formality theorems, we prove the A ∞ -relations via Stokes’ theorem by constructing a closed form and a configuration space whose boundary components lead to the A ∞ -relations. This gives a new way to formulate higher spin gravities and hints at a construct encompassing the known formality theorems.
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