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Bootstrapping Coulomb and Higgs branch operators | | Aleix Gimenez-Grau
; Pedro Liendo
; | | Date: |
2 Jun 2020 | | Abstract: | We apply the numerical conformal bootstrap to correlators of Coulomb and
Higgs branch operators in $4d$ $mathcal{N} = 2$ superconformal theories. We
start by revisiting previous results on single correlators of Coulomb branch
operators. In particular, we present improved bounds on OPE coefficients for
some selected Argyres-Douglas models, and compare them to recent work by Grassi
et al. where the same cofficients were obtained using random matrix theory
technology. We find solid agreement between the two approaches. The improved
bounds can be used to extract an approximate spectrum of the Argyres-Douglas
models, which can then be used as a guide in order to corner these theories to
numerical islands in the space of conformal dimensions. When there is a flavor
symmetry present, we complement the analysis by including mixed correlators of
Coulomb branch operators and the moment map, a Higgs branch operator which sits
in the same multiplet as the flavor current. After calculating the relevant
superconformal blocks we apply the numerical machinery to the mixed system. We
put general constraints on CFT data appearing in the new channels, with
particular emphasis on the simplest Argyres-Douglas model with non-trivial
flavor symmetry. | | Source: | arXiv, 2006.1847 | | Services: | Forum | Review | PDF | Favorites | |
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