SYK/AdS duality with Yang-Baxter deformations

TL;DR

This paper investigates how Yang-Baxter deformations influence the SYK model spectrum at strong coupling, revealing effects at quadratic order and interpreting these deformations via collective field excitations.

Contribution

It introduces a novel analysis of YB deformations in SYK/AdS duality, including KK reduction and effective action evaluation at quadratic order.

Findings

YB effects appear at quadratic order in 1/J expansion

YB deformations can be interpreted through bi-local collective fields

Estimated 1/J^2 corrections to correlation functions at strong coupling

Abstract

In this paper, based on the notion of SYK/AdS duality we explore the effects of Yang-Baxter (YB) deformations on the SYK spectrum at strong coupling. In the first part of our analysis, we explore the consequences of YB deformations through the Kaluza-Klein (KK) reduction on $ (AdS_2)_{\eta}\times (S^1)/Z_2 $. It turns out that the YB effects (on the SYK spectrum) starts showing off at \textit{quadratic} order in $ 1/J $ expansion. For the rest of the analysis, we provide an interpretation for the YB deformations in terms of bi-local/collective field excitations of the SYK model. Using large $ N $ techniques, we evaluate the effective action upto quadratic order in the fluctuations and estimate $ 1/J^2 $ corrections to the correlation function at strong coupling.