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arXiv · 2509.19964

Higher-Spin Poisson Sigma Models and Holographic Duality for SYK Models

Xavier Bekaert·Alexey Sharapov·Evgeny Skvortsov
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Abstract

SYK models provide an interesting playground for exploring the $AdS_2/CFT_1$ correspondence. We focus on a class of SYK models that exhibit higher-spin symmetry, whose gravity sector is described by a BF theory generalizing Jackiw--Teitelboim gravity to higher spins. We further develop this framework by constructing consistent interactions between higher-spin gauge fields and scalar matter fields. Two concrete realizations are proposed: Model A, arising from a deformation of the universal enveloping algebra of $\mathfrak{sl}(2,\mathbb{R})$, and Model B, a perturbatively local Poisson sigma-model with an infinite-dimensional target space. While both capture higher-spin dynamics on $(A)dS_2$, they differ in their algebraic structures and locality properties, thus offering complementary perspectives on higher-spin holography.

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Xavier Bekaert, Alexey Sharapov, Evgeny Skvortsov. 2025-09-24. Higher-Spin Poisson Sigma Models and Holographic Duality for SYK Models. https://arxiv.org/abs/2509.19964

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