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

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arxiv 2409.11551 v1 pith:J5HRBTLH submitted 2024-09-17 hep-th

classification hep-th
keywords theorycorrelatorsappliedboundarycenterchern-simonsclassconditions
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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.

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  1. Generalized Schur partition functions and RG flows

    hep-th 2025-06 conditional novelty 6.0 of 10

    The generalized Schur partition function of SU(2) N_f=4 SQCD, evaluated at alpha = h^vee_g / 6, reproduces the Schur indices of every SCFT in the Deligne-Cvitanovic rank-one series.

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