The complete 1/N expansion of a SYK–like tensor model

By R. Gurau. 2016

185 citations recorded by the source corpus.

Abstract A SYK–like model close to the colored tensor models has recently been proposed [1] . Building on results obtained in tensor models [2] , we discuss the complete 1 / N expansion of the model. We detail the two and four point functions at leading order. The leading order two point function is a sum over melonic graphs, and the leading order relevant four point functions are sums over dressed ladder diagrams. We then show that any order in the 1 / N series of the two point function can be written solely in term of the leading order two and four point functions. The full 1 / N expansion of arbitrary correlations can be obtained by similar methods.

Subfields: Computational Mathematics, Statistical and Nonlinear Physics, Statistics and Probability

View Paper: https://www.semanticscholar.org/paper/1f3175a94f9d4aad1991943cdb158392f4298932

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In Computational Mathematics

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Citations in the corpus

Uncolored random tensors, melon diagrams, and the Sachdev-Ye-Kitaev models (2016, background): “The action of this model is SGurau−Witten = ∫ dt ( i 2 ψabcA ∂tψ abc A + gψ abc 0 ψ ade 1 ψ fbe 2 ψ fdc 3 ) , (1.2) 1The N3 scaling of the degrees of freedom is also found for 6-dimensional CFTs on N coincident M5branes [14, 15].”
Coadjoint orbit action of Virasoro group and two-dimensional quantum gravity dual to SYK/tensor models (2017, unknown): “For example, in SYK model it denotes the ‘flavour indices’ of fermions ψi, while in Witten-Gurau model it denotes the tri-fundamental index the fermions carry.”
Quantum chaos and holographic tensor models (2016, background): “[8] for the explicit form of the action.”