SYK/AdS duality with Yang-Baxter deformations

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 $(Ad{S}_2{)}_{\eta }\times (S^1)/Z_2$. 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.

Revised version, To Appear in JHEP