Vector models and generalized SYK models

Abstract

We consider the relation between SYK-like models and vector models by studying a toy model where a tensor field is coupled with a vector field. By integrating out the tensor field, the toy model reduces to the Gross-Neveu model in 1 dimension. On the other hand, a certain perturbation can be turned on and the toy model flows to an SYK-like model at low energy. A chaotic-nonchaotic phase transition occurs as the sign of the perturbation is altered. We further study similar models that possess chaos and enhanced reparameterization symmetries.

36 pages, 12 figures

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Cited by in corpus (38)

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• Three Dimensional View of the SYK/AdS Duality
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• Tunable Quantum Chaos in the Sachdev-Ye-Kitaev Model Coupled to a Thermal Bath
• Ward identities and combinatorics of rainbow tensor models
• Space-Time in the SYK Model
• SYK Models and SYK-like Tensor Models with Global Symmetry
• Correlators in the $\mathcal{N}=2$ Supersymmetric SYK Model
• Three Dimensional View of Arbitrary $q$ SYK models
• Gauge Invariants, Correlators and Holography in Bosonic and Fermionic Tensor Models
• 2PI effective action for the SYK model and tensor field theories
• SYK-like Tensor Models on the Lattice
• The $1/N$ expansion of the symmetric traceless and the antisymmetric tensor models in rank three
• A note on the complex SYK model and warped CFTs
• Supersymmetric SYK Model: Bi-local Collective Superfield/Supermatrix Formulation
• Contrasting SYK-like Models
• Diffusion in higher dimensional SYK model with complex fermions
• Towards the Holographic Dual of N = 2 SYK
• A new class of SYK-like models with maximal chaos
• Towards a Finite-$N$ Hologram
• Quantum criticality and duality in the SYK/AdS${}_2$ chain
• Thickening and sickening the SYK model
• $\mathcal{N}=(0,2)$ SYK, Chaos and Higher-Spins
• Conformality of $1/N$ corrections in SYK-like models
• A 3d disordered superconformal fixed point
• Generalized conformal structure, dilaton gravity and SYK
• Charged BTZ-like black hole solutions and the diffusivity-butterfly velocity relation
• Chiral Algebras of Two-Dimensional SYK Models
• Tensor Models for Black Hole Probes
• Soft modes in $\mathcal{N}=2$ SYK model
• Schwarzian correction to quantum correlation in SYK model
• Near Conformal Perturbation Theory in SYK Type Models
• Violation of the viscosity/entropy bound in translationally invariant non-Fermi liquids
• Chiral Sachdev-Ye model: Integrability and chaos of anyons in 1+1d
• D-commuting SYK model: building quantum chaos from integrable blocks
• A simple model for Hawking radiation
• Gauging the complex SYK model