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Strong homotopy algebras for chiral higher spin gravity via Stokes theorem

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Autor(es):
Sharapov, Alexey ; Skvortsov, Evgeny ; Van Dongen, Richard
Número total de Autores: 3
Tipo de documento: Artigo Científico
Fonte: Journal of High Energy Physics; v. N/A, n. 6, p. 86-pg., 2024-06-27.
Resumo

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 infinity-relations via Stokes' theorem by constructing a closed form and a configuration space whose boundary components lead to the A infinity-relations. This gives a new way to formulate higher spin gravities and hints at a construct encompassing the known formality theorems. (AU)

Processo FAPESP: 22/13596-8 - As Álgebras de Homotopía nas Teorias de Gauge Não Comutativas e Gravitação de Spins Altos
Beneficiário:Vladislav Kupriyanov
Modalidade de apoio: Auxílio à Pesquisa - Pesquisador Visitante - Internacional