Bootstrapping Coulomb and Higgs branch operators

A bstract We apply the numerical conformal bootstrap to correlators of Coulomb and Higgs branch operators in 4 d $$ \mathcal{N} N = 2 superconformal theories. start by revisiting previous results on single operators. In particular, we present improved bounds OPE coefficients for some selected Argyres-Douglas models, compare them recent work where same cofficients were obtained limit large r charge. There is solid agreement between all approaches. The can be used extract an approximate spectrum which then as a guide order corner these theories islands space dimensions. When there flavor symmetry present, complement analysis including mixed moment map, operator sits multiplet current. After calculating relevant blocks machinery system. put general constraints CFT data appearing new channels, with particular emphasis simplest model non-trivial symmetry.