Factorizing Wormholes in a Partially Disorder-Averaged SYK Model

Abstract

In this paper, we introduce a "partially disorder-averaged" SYK model. This model has a real parameter that smoothly interpolates between the ordinary totally disorder-averaged SYK model and the totally fixed-coupling model. For the large $N$ effective description, in addition to the usual bi-local collective fields, we also introduce a new additional set of local collective fields. These local fields can be understood as "half" of the bi-local collective fields, and in the totally fixed-coupling limit, they represent the "half-wormholes" which were found in recent studies. We find that the large $N$ saddles of these local fields vanish in the total-disorder-averaged limit, while they develop nontrivial profiles as we gradually fix the coupling constants. We argue that the bulk picture of these local collective fields represents a correlation between a spacetime brane and the asymptotic AdS boundary. This illuminates how the half-wormhole saddles emerge in the SYK model with fixed couplings.

41 pages, 5 figures

References in corpus (25)

• An Investigation of AdS${}_2$ Backreaction and Holography
• A Generalization of Sachdev-Ye-Kitaev
• Sachdev-Ye-Kitaev Model as Liouville Quantum Mechanics
• JT gravity as a matrix integral
• More on Supersymmetric and 2d Analogs of the SYK Model
• Higher Dimensional Generalizations of the SYK Model
• Late Time Correlation Functions, Baby Universes, and ETH in JT Gravity
• Replica wormholes for an evaporating 2D black hole
• AdS Euclidean wormholes
• More quantum noise from wormholes
• Euclidean wormhole in the SYK model
• SYK Models and SYK-like Tensor Models with Global Symmetry
• Correlators in the $\mathcal{N}=2$ Supersymmetric SYK Model
• Entanglement entropies of equilibrated pure states in quantum many-body systems and gravity
• Wormholes without averaging
• Disorder Averaging and its UV (Dis)Contents
• FZZT branes in JT gravity and topological gravity
• Spin structures and baby universes
• Half-wormholes in SYK with one time point
• Half-wormholes in nearly AdS${}_2$ holography
• Deconstructing the Wormhole: Factorization, Entanglement and Decoherence
• Comments on wormholes and factorization
• Wormholes in Quantum Mechanics
• Gravity without averaging
• Product of Random States and Spatial (Half-)Wormholes

Cited by in corpus (1)

• Replicas, averaging and factorization in the IIB matrix model