2017/11/30 by Martina Cornagliotto, Madalena Lemos, Pedro Liendo · 4 citations
Mathematics · Physics and Astronomy · #Algebraic structures and combinatorial models #Black Holes and Theoretical Physics #Conformal map #Generator (circuit theory) #Homotopy and Cohomology in Algebraic Topology #Multiplet #Operator (biology) #Operator product expansion #Spectrum (functional analysis) #Spin (aerodynamics) #Spins #hep-th
paper · pdf · doi:10.1007/jhep03(2018)033
27 pages (21 plus one appendix), 7 figures; v2: minor improvments, matches JHEP version
openalex created_date 2017/11/10 · arxiv created 2018/02/22 · openalex publication_date 2018/03/01 · arxiv updated 2018/04/04 · openalex updated_date 2026/08/05
A bstract 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.