N Delporte, V Rivasseau - arXiv preprint arXiv:1804.11101, 2018 - arxiv.org
We review the fast developing subject of tensor models for the NAdS $ _2 $/NCFT $ _1 $ holographic correspondence. We include a brief review of the Sachdev-Ye-Kitaev (SYK) …
HW Lin - Journal of High Energy Physics, 2022 - Springer
A bstract The emergence of the bulk Hilbert space is a mysterious concept in holography. In [1], the SYK model was solved in the double scaling limit by summing chord diagrams. Here …
The Sachdev--Ye--Kitaev is a quantum mechanical model of $ N $ Majorana fermions which displays a number of appealing features--solvability in the strong coupling regime, near …
A bstract We further explore the connection between holographic O (n) tensor models and random matrices. First, we consider the simplest non-trivial uncolored tensor model and …
A bstract A class of tensor models were recently outlined as potentially calculable examples of holography: their perturbative large-N behavior is similar to the Sachdev-Ye-Kitaev (SYK) …
A Jevicki, K Suzuki - Journal of High Energy Physics, 2016 - Springer
A bstract We continue the study of the Sachdev-Ye-Kitaev model in the Large N limit. Following our formulation in terms of bi-local collective fields with dynamical …
A bstract The SYK model, a quantum mechanical model of N≫ 1 Majorana fermions χ i, with a q-body, random interaction, is a novel realization of holography. It is known that the AdS 2 …
B Mukhametzhanov - Journal of High Energy Physics, 2023 - Springer
A bstract We consider the factorization problem in toy models of holography, in SYK and in Matrix Models. In a theory with fixed couplings, we introduce a fictitious ensemble averaging …
A bstract Motivated by the close connection of tensor models to the SYK model, we use representation theory to construct the complete set of gauge invariant observables for …