Crosscap Contribution to Late-Time Two-Point Correlators
High Energy Physics - Theory
2022-03-29 v1 Strongly Correlated Electrons
General Relativity and Quantum Cosmology
Abstract
We show that in Jackiw-Teitelboim (JT) gravity, late-time two-point functions can get a leading non-decaying contribution from a spacetime with the topology of a Mobius strip (a disk with one crosscap). There is an interesting interplay between this contribution and the standard "plateau". The two can add together or cancel, depending on topological weighting factors. We match this behavior to Random Matrix Theory (RMT) and the N mod 8 periodicity of Sachdev-Kitaev-Ye (SYK) results.
Cite
@article{arxiv.2203.14436,
title = {Crosscap Contribution to Late-Time Two-Point Correlators},
author = {Cynthia Yan},
journal= {arXiv preprint arXiv:2203.14436},
year = {2022}
}
Comments
39 pages + appendices