SYK-Schur duality: Double scaled SYK correlators from $N=2$ supersymmetric gauge theory

TL;DR

This paper establishes a novel triality connecting the double-scaled SYK model, a specific Chern-Simons theory, and a quantized version of SU(2) Seiberg-Witten theory, supported by correlator matches.

Contribution

It introduces a new triality linking these three theories and provides evidence through correlator comparisons.

Findings

Matching correlators across all three systems

Identification of a triality involving SYK, Chern-Simons, and Seiberg-Witten theories

Supporting evidence for the proposed theoretical connection

Abstract

We propose a triality relating the Double-Scaled SYK model, $SL(2,\mathbb{C})$ Chern-Simons theory on a disk with an irregular singularity at the center and the outcome of ``real Schur quantization'' applied to $SU(2)$ Seiberg-Witten theory with Neumann boundary conditions. We give supporting evidence for our conjecture by establishing a precise match between a general class of correlators in all three systems.