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Bootstrapping the (A1, A2) Argyres-Douglas theory.

Cornagliotto, Martina and Lemos, Madalena and Liendo, Pedro (2018) 'Bootstrapping the (A1, A2) Argyres-Douglas theory.', Journal of high energy physics., 2018 (3). 033.


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.

Item Type:Article
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Date accepted:06 February 2018
Date deposited:09 June 2020
Date of first online publication:07 March 2018
Date first made open access:09 June 2020

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