Towards a full solution of the large N double-scaled SYK model

By M. Berkooz, Mikhail Isachenkov, Vladimir Narovlansky, Genís Torrents. Journal of High Energy Physics, 2018

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A bstractWe compute the exact, all energy scale, 4-point function of the large N doublescaled SYK model, by using only combinatorial tools and relating the correlation functions to sums over chord diagrams. We apply the result to obtain corrections to the maximal Lyapunov exponent at low temperatures. We present the rules for the non-perturbative diagrammatic description of correlation functions of the entire model. The latter indicate that the model can be solved by a reduction of a quantum deformation of SL(2), that generalizes the Schwarzian to the complete range of energies.

Subfields: Atomic and Molecular Physics, and Optics, Geometry and Topology

View Paper: https://www.semanticscholar.org/paper/d73f7faae72f4f43e4af394e78a82681734b666f

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In Atomic and Molecular Physics, and Optics

  1. J. de Boer
  2. Alexandre Belin

In Geometry and Topology

  1. J. de Boer

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