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Media type:
E-Article
Title:
Bootstrapping the (A1, A2) Argyres-Douglas theory
Contributor:
Cornagliotto, Martina;
Lemos, Madalena;
Liendo, Pedro
Published:
Springer Science and Business Media LLC, 2018
Published in:
Journal of High Energy Physics, 2018 (2018) 3
Language:
English
DOI:
10.1007/jhep03(2018)033
ISSN:
1029-8479
Origination:
Footnote:
Description:
Abstract We apply bootstrap techniques in order to constrain the CFT data of the (A 1 , A 2) 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.