SYK-Schur对偶性:来自 $N=2$ 超对称规理论的双标度 SYK 相关因子

Davide Gaiotto, Herman Verlinde
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引用次数: 0

摘要

我们提出了双尺度SYK模型、具有不规则奇点的圆盘上的$SL(2,\mathbb{C})$ Chern-Simons理论以及应用于具有诺伊曼边界条件的$SU(2)$Seiberg-Witten理论的 "真实舒尔量子化 "结果的三重性。我们在这三个系统中建立了一类相关子之间的精确匹配,从而为我们的猜想提供了佐证。
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SYK-Schur duality: Double scaled SYK correlators from $N=2$ supersymmetric gauge theory
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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