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Shockwave S-matrix from Schwarzian quantum mechanics

Author(s): Lam, Ho Tat; Mertens, Thomas G.; Turiaci, Gustavo J.; Verlinde, Herman L.

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dc.contributor.authorLam, Ho Tat-
dc.contributor.authorMertens, Thomas G.-
dc.contributor.authorTuriaci, Gustavo J.-
dc.contributor.authorVerlinde, Herman L.-
dc.date.accessioned2019-04-04T15:39:14Z-
dc.date.available2019-04-04T15:39:14Z-
dc.date.issued2018-11en_US
dc.identifier.citationLam, Ho Tat, Mertens, Thomas G., Turiaci, Gustavo J., Verlinde, Herman. (2018). Shockwave S-matrix from Schwarzian quantum mechanics. JOURNAL OF HIGH ENERGY PHYSICS, doi:10.1007/JHEP11(2018)182en_US
dc.identifier.issn1029-8479-
dc.identifier.urihttp://arks.princeton.edu/ark:/88435/pr10d8k-
dc.description.abstractSchwarzian quantum mechanics describes the collective IR mode of the SYK model and captures key features of 2D black hole dynamics. Exact results for its correlation functions were obtained in [1]. We compare these results with bulk gravity expectations. We fi nd that the semi-classical limit of the OTO four-point function exactly matches with the scattering amplitude obtained from the Dray-’t Hooft shockwave S-matrix. We show that the two point function of heavy operators reduces to the semi-classical saddle-point of the Schwarzian action. We also explain a previously noted match between the OTO four point functions and 2D conformal blocks. Generalizations to higher-point functions are discussed.en_US
dc.format.extent1 - 37en_US
dc.language.isoen_USen_US
dc.relation.ispartofJOURNAL OF HIGH ENERGY PHYSICSen_US
dc.rightsFinal published version. This is an open access article.en_US
dc.titleShockwave S-matrix from Schwarzian quantum mechanicsen_US
dc.typeJournal Articleen_US
dc.identifier.doidoi:10.1007/JHEP11(2018)182-
dc.date.eissued2018-11-28en_US
pu.type.symplectichttp://www.symplectic.co.uk/publications/atom-terms/1.0/journal-articleen_US

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