Non-local reparametrization action in coupled Sachdev-Ye-Kitaev models

Abstract

We continue the investigation of coupled Sachdev-Ye-Kitaev(SYK) models without Schwarzian action dominance. Like the original SYK, at large N and low energies these models have an approximate reparametrization symmetry. However, the dominant action for reparametrizations is non-local due to the presence of irrelevant local operator with small conformal dimension. We semi-analytically study different thermodynamic properties and the 4-point function and demonstrate that they significantly differ from the Schwarzian prediction. However, the residual entropy and maximal chaos exponent are the same as in Majorana SYK. We also discuss chain models and finite N corrections.

v1: 48 pages, 24 figures. v2: typos corrected, references added

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• Small to large Fermi surface transition in a single band model, using randomly coupled ancillas
• Measurement-induced phase transition in teleportation and wormholes
• Thermalization of Randomly Coupled SYK Models
• Charge fluctuation entropy of Hawking radiation: a replica-free way to find large entropy
• $\mathcal{N}=2$ SYK models with dynamical bosons and fermions
• Precise Low-Temperature Expansions for the Sachdev-Ye-Kitaev model
• A bipartite Sachdev-Ye-Kitaev model: Conformal limit and level statistics