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arXiv · 2111.11705

Factorizing Wormholes in a Partially Disorder-Averaged SYK Model

Kanato Goto·Kenta Suzuki·Tomonori Ugajin
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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.

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Kanato Goto, Kenta Suzuki, Tomonori Ugajin. 2021-11-23. Factorizing Wormholes in a Partially Disorder-Averaged SYK Model. https://doi.org/10.1007/jhep09(2022)069

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