Skip to main content

Shockwave S-matrix from Schwarzian quantum mechanics

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

To refer to this page use:
Abstract: Schwarzian 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.
Publication Date: Nov-2018
Electronic Publication Date: 28-Nov-2018
Citation: Lam, 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)182
DOI: doi:10.1007/JHEP11(2018)182
ISSN: 1029-8479
Pages: 1 - 37
Type of Material: Journal Article
Version: Final published version. This is an open access article.

Items in OAR@Princeton are protected by copyright, with all rights reserved, unless otherwise indicated.