TY - JOUR
T1 - Sixfold Way of Traversable Wormholes in the Sachdev-Ye-Kitaev Model
AU - García-García, Antonio M.
AU - Sá, Lucas
AU - Verbaarschot, Jacobus J.M.
AU - Yin, Can
N1 - Publisher Copyright:
© 2024 authors. Published by the American Physical Society. Published by the American Physical Society under the terms of the "https://creativecommons.org/licenses/by/4.0/"Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article's title, journal citation, and DOI. Funded by SCOAP3.
PY - 2024/2/9
Y1 - 2024/2/9
N2 - In the infrared limit, a nearly anti-de Sitter spacetime in two dimensions (AdS2) 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 - and different symmetry sectors of the model may belong to distinct universality classes.
AB - In the infrared limit, a nearly anti-de Sitter spacetime in two dimensions (AdS2) 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 - and different symmetry sectors of the model may belong to distinct universality classes.
UR - https://www.scopus.com/pages/publications/85184855988
U2 - 10.1103/PhysRevLett.132.061603
DO - 10.1103/PhysRevLett.132.061603
M3 - Article
C2 - 38394601
AN - SCOPUS:85184855988
SN - 0031-9007
VL - 132
JO - Physical Review Letters
JF - Physical Review Letters
IS - 6
M1 - 061603
ER -