Degenerate operators in JT and Liouville (super)gravity

DOI10.1007/JHEP04(2021)245zbMATH Open1462.83043arXiv2007.00998OpenAlexW3159136387WikidataQ112154104 ScholiaQ112154104MaRDI QIDQ2032623

Author name not available (Why is that?)

Publication date: 11 June 2021

Published in: (Search for Journal in Brave)

Abstract: We derive explicit expressions for a specific subclass of Jackiw-Teitelboim (JT) gravity bilocal correlators, corresponding to degenerate Virasoro representations. On the disk, these degenerate correlators are structurally simple, and they allow us to shed light on the 1/C Schwarzian bilocal perturbation series. In particular, we prove that the series is asymptotic for generic weight $hotin-mathbbN/2$. Inspired by its minimal string ancestor, we propose an expression for higher genus corrections to the degenerate correlators. We discuss the extension to the $mathcalN=1$ super JT model. On the disk, we similarly derive properties of the 1/C super-Schwarzian perturbation series, which we independently develop as well. As a byproduct, it is shown that JT supergravity saturates the chaos bound $$ at first order in 1/C. We develop the fixed-length amplitudes of Liouville supergravity at the level of the disk partition function, the bulk one-point function and the boundary two-point functions. In particular we compute the minimal superstring fixed length boundary two-point functions, which limit to the super JT degenerate correlators. We give some comments on higher topology at the end.

Full work available at URL: https://arxiv.org/abs/2007.00998

zbMATH Keywords

No records found.

Mathematics Subject Classification ID

No records found.

This page was built for publication: Degenerate operators in JT and Liouville (super)gravity

Report a bug (only for logged in users!)Click here to report a bug for this page (MaRDI item Q2032623)