Bootstrapping the (A1, A2) Argyres-Douglas theory

Cornagliotto, Martina; Lemos, Madalena; Liendo, Pedro

Abstract

We apply bootstrap techniques in order to constrain the CFT data of the (A1, A2) Argyres-Douglas theory, which is arguably the simplest of the Argyres-Douglas models. We study the four-point function of its single Coulomb branch chiral ring generator and put numerical bounds on the low-lying spectrum of the theory. Of particular interest is an infinite family of semi-short multiplets labeled by the spin ℓ. Although the conformal dimensions of these multiplets are protected, their three-point functions are not. Using the numerical bootstrap we impose rigorous upper and lower bounds on their values for spins up to ℓ = 20. Through a recently obtained inversion formula, we also estimate them for sufficiently large ℓ, and the comparison of both approaches shows consistent results. We also give a rigorous numerical range for the OPE coefficient of the next operator in the chiral ring, and estimates for the dimension of the first R-symmetry neutral non-protected multiplet for small spin.

Citation

Cornagliotto, M., Lemos, M., & Liendo, P. (2018). Bootstrapping the (A1, A2) Argyres-Douglas theory. Journal of High Energy Physics, 2018(3), Article 033. https://doi.org/10.1007/jhep03%282018%29033

• Journal Article Type: Article
• Acceptance Date: Feb 6, 2018
• Online Publication Date: Mar 7, 2018
• Publication Date: 2018-03
• 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: 3
• Article Number: 033
• DOI: https://doi.org/10.1007/jhep03%282018%29033
• Public URL: https://durham-repository.worktribe.com/output/1269327