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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

Davide Gaiotto , Herman Verlinde This is my paper · ORCID
classification hep-th
keywords theorycorrelatorsappliedboundarycenterchern-simonsclassconditions
verification ladder T0 review T1 audit T2 compute T3 formal

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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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Cited by 4 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Topological Twisting of 4d $\mathcal{N}=2$ Supersymmetric Field Theories

    hep-th 2024-11 conditional novelty 8.0 of 10

    For any 4d N=2 theory, topologically twisted partition functions depend on the diffeomorphism type, 't Hooft fluxes, and a generalized spin-c structure.

  2. Schur Connections: Chord Counting, Line Operators, and Indices

    hep-th 2025-06 conditional novelty 7.0 of 10

    The Schur half-index of pure 4d N=2 SU(N) SYM with Wilson line insertions equals a q-oscillator vacuum expectation value, shown to be the partition function of the relativistic open Toda chain.

  3. 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.

  4. Sine-dilaton gravity vs double-scaled SYK: exploring one-loop quantum corrections

    hep-th 2024-11 conditional novelty 6.0 of 10

    The one-loop gravitational path integral of sine-dilaton gravity reproduces the one-loop corrections of double-scaled SYK for the free energy (up to an ordering ambiguity) and exactly for the matter two-point function.

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