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

Cynthia Yan This is my paper · ORCID

classification hep-thcond-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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Comments on firewalls in JT gravity with matter
hep-th 2024-12 conditional novelty 5.0 of 10

A twist factor cutoff from eigenvalue branes reproduces the gray hole firewall probabilities in JT gravity, with matter loop corrections subleading at late times.

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