Crosscap Contribution to Late-Time Two-Point Correlators

TL;DR

This paper demonstrates that in JT gravity, late-time two-point correlators receive a significant contribution from a Mobius strip topology, which interacts with the standard plateau and aligns with RMT and SYK periodicity.

Contribution

It reveals the role of Mobius strip topology in late-time correlators in JT gravity and connects this to RMT and SYK periodicity patterns.

Findings

Mobius strip topology contributes to late-time correlators.

Interaction between topological contributions and the plateau can lead to cancellation or addition.

Results match RMT predictions and SYK mod 8 periodicity.

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.