Universality at large transverse spin in defect CFT

Lemos, Madalena; Liendo, Pedro; Meineri, Marco; Sarkar, Sourav

Abstract

We study the spectrum of local operators living on a defect in a generic conformal field theory, and their coupling to the local bulk operators. We establish the existence of universal accumulation points in the spectrum at large s, s being the charge of the operators under rotations in the space transverse to the defect. Our tools include a formula that inverts the bulk to defect OPE, analogous to the Caron-Huot formula for the four-point function [1]. Analyticity of the formula in s implies that the scaling dimensions of the defect operators are aligned in Regge trajectories Δˆ(s). These results require the correlator of two local operators and the defect to be bounded in a certain region, a condition that we do not prove in general. We check our conclusions against examples in perturbation theory and holography, and we make specific predictions concerning the spectrum of defect operators on Wilson lines. We also give an interpretation of the large s spectrum in the spirit of the work of Alday and Maldacena [2].

Citation

Lemos, M., Liendo, P., Meineri, M., & Sarkar, S. (2018). Universality at large transverse spin in defect CFT. Journal of High Energy Physics, 2018(9), Article 091. https://doi.org/10.1007/jhep09%282018%29091

• Journal Article Type: Article
• Acceptance Date: Sep 5, 2018
• Online Publication Date: Sep 17, 2018
• Publication Date: 2018-09
• Deposit Date: Jun 4, 2020
• Publicly Available Date: Jun 9, 2020
• Journal: Journal of High Energy Physics
• Print ISSN: 1126-6708
• Electronic ISSN: 1029-8479
• Publisher: Scuola Internazionale Superiore di Studi Avanzati (SISSA)
• Peer Reviewed: Peer Reviewed
• Volume: 2018
• Issue: 9
• Article Number: 091
• DOI: https://doi.org/10.1007/jhep09%282018%29091
• Public URL: https://durham-repository.worktribe.com/output/1269422