학술논문

Sixfold Way of Traversable Wormholes in the Sachdev-Ye-Kitaev Model
Document Type
Working Paper
Source
Phys. Rev. Lett. 132, 061603 (2024)
Subject
High Energy Physics - Theory
Condensed Matter - Statistical Mechanics
Condensed Matter - Strongly Correlated Electrons
Nonlinear Sciences - Chaotic Dynamics
Quantum Physics
Language
Abstract
In the infrared limit, a nearly anti-de Sitter spacetime in two dimensions (AdS$_2$) perturbed by a weak double trace deformation and a two-site $(q>2)$-body Sachdev-Ye-Kitaev (SYK) model with $N$ Majoranas and a weak $2r$-body intersite coupling share the same near-conformal dynamics described by a traversable wormhole. We exploit this relation to propose a symmetry classification of traversable wormholes depending on $N$, $q$, and $r$, with $q>2r$, and confirm it by a level statistics analysis using exact diagonalization techniques. Intriguingly, a time-reversed state never results in a new state, so only six universality classes occur: A, AI, BDI, CI, C, and D.
Comment: 7 pages, 3 figures + Supplemental Material. v2: as published