Holographic derivation of $ q $ SYK spectrum with Yang-Baxter shift

TL;DR

This paper uses gauge/gravity duality to compute the spectrum of the $q$-deformed SYK model with Yang-Baxter deformations, revealing how these deformations affect the spectral properties through a holographic approach.

Contribution

It introduces a holographic derivation of the $q$ SYK spectrum incorporating Yang-Baxter deformations via a YB deformed Almheiri-Polchinski model.

Findings

Derived the deformed Green's function matching the $q$ SYK spectrum

Established the gravitational dual with YB deformations

Reproduced the original spectrum in the undeformed limit

Abstract

In this Letter, based on the notion of gauge/gravity duality, we compute $ q $ SYK spectra in the presence of Yang-Baxter (YB) deformations. The gravitational counterpart of this duality turns out to be the YB deformed Almheiri-Polchinski (AP) model embodied with hyperbolic potential for the dilaton. Following Kaluza-Klein reduction on $ (AdS_2)_{\eta}\times (S^1/ Z_2) $, we compute the deformed Green's function that reproduces the original $ q $ SYK spectrum in the limit of vanishing deformations.