Bi-Local Holography in the SYK Model: Perturbations

TL;DR

This paper investigates perturbations in the bi-local holographic description of the SYK model, focusing on the large N limit and conformal IR behavior, to deepen understanding of its dynamical reparametrization symmetry.

Contribution

It introduces a perturbative approach around the conformal IR point within the bi-local collective field framework for the SYK model.

Findings

Perturbative corrections to the bi-local fields are computed.

Insights into the dynamical reparametrization symmetry are gained.

Enhanced understanding of the IR conformal structure of the SYK model.

Abstract

We continue the study of the Sachdev-Ye-Kitaev model in the Large $N$ limit. Following our formulation in terms of bi-local collective fields with dynamical reparametrization symmetry, we perform perturbative calculations around the conformal IR point.