Holographic derivation of q SYK spectrum with Yang-Baxter shift

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 (AdS2)η× (S1/ Z2) , we compute the deformed Green's function that reproduces the original q SYK spectrum in the limit of vanishing deformations.

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