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.

arXiv commentv1: 48 pages, 24 figures. v2: typos corrected, references added

References in corpus (36)

• A bound on chaos
• Gapless Spin-Fluid Ground State in a Random Quantum Heisenberg Magnet
• Comments on the Sachdev-Ye-Kitaev model
• The distribution of the ratio of consecutive level spacings in random matrix ensembles
• Black Holes and Random Matrices
• The soft mode in the Sachdev-Ye-Kitaev model and its gravity dual
• Local criticality, diffusion and chaos in generalized Sachdev-Ye-Kitaev models
• Fermionic Localization of the Schwarzian Theory
• Uncolored Random Tensors, Melon Diagrams, and the SYK Models
• A Generalization of Sachdev-Ye-Kitaev
• Sachdev-Ye-Kitaev Model as Liouville Quantum Mechanics
• Solving the Schwarzian via the Conformal Bootstrap
• A strongly correlated metal built from Sachdev-Ye-Kitaev models
• Colored Group Field Theory
• Quantum Fluctuations of a Nearly Critical Heisenberg Spin Glass
• Universal Charge Diffusion and the Butterfly Effect
• Eternal traversable wormhole
• The Quantum Gravity Dynamics of Near Extremal Black Holes
• Notes on the complex Sachdev-Ye-Kitaev model
• Overscreened multi-channel SU(N) Kondo model : large-N solution and Conformal Field Theory
• Spread of entanglement in a Sachdev-Ye-Kitaev chain
• Effective Field Theory for Chaotic CFTs
• Tunable Quantum Chaos in the Sachdev-Ye-Kitaev Model Coupled to a Thermal Bath
• SYK Models and SYK-like Tensor Models with Global Symmetry
• Evaporation dynamics of the Sachdev-Ye-Kitaev model
• Does the SYK model have a spin glass phase?
• On Large $N$ Limit of Symmetric Traceless Tensor Models
• Quantum criticality of granular SYK matter
• Excitation spectra of quantum matter without quasiparticles I: Sachdev-Ye-Kitaev models
• Spontaneous Breaking of $U(1)$ Symmetry in Coupled Complex SYK Models
• Linear in temperature resistivity in the limit of zero temperature from the time reparameterization soft mode
• Thickening and sickening the SYK model
• Excitation spectra of quantum matter without quasiparticles II: random $t$-$J$ models
• An obstacle to sub-AdS holography for SYK-like models
• Page Curve from Non-Markovianity
• Reparametrization modes in 2d CFT and the effective theory of stress tensor exchanges

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• Sachdev-Ye-Kitaev Models and Beyond: A Window into Non-Fermi Liquids
• Quantum critical Eliashberg theory, the SYK superconductor and their holographic duals
• 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