Crosscap Contribution to Late-Time Two-Point Correlators

Cynthia Yan

Crosscap Contribution to Late-Time Two-Point Correlators

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arxiv 2203.14436 v1 pith:7MHVE37J submitted 2022-03-28 hep-th cond-mat.str-elgr-qc

Crosscap Contribution to Late-Time Two-Point Correlators

Cynthia Yan This is my paper

classification hep-th cond-mat.str-elgr-qc

keywords contributioncrosscaplate-timetwo-pointbehaviorcancelcorrelatorsdepending

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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.

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Mind the crosscap: $\tau$-scaling in non-orientable gravity and time-reversal-invariant systems
hep-th 2025-09 unverdicted novelty 7.0

Non-orientable topological gravity produces a resummed topological expansion whose late-time behavior matches the GOE universality class of random matrix theory for time-reversal invariant chaotic systems.