Abstract
We study 3d CFTs with an O(N) global symmetry using the conformal bootstrap for a system of mixed correlators. Specifically, we consider all nonvanishing scalar four-point functions containing the lowest dimension O(N) vector ϕ i and the lowest dimension O(N) singlet s, assumed to be the only relevant operators in their symmetry representations. The constraints of crossing symmetry and unitarity for these four-point functions force the scaling dimensions (Δ ϕ , Δ s ) to lie inside small islands. We also make rigorous determinations of current two-point functions in the O(2) and O(3) models, with applications to transport in condensed matter systems.
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Kos, F., Poland, D., Simmons-Duffin, D. et al. Bootstrapping the O(N) archipelago. J. High Energ. Phys. 2015, 106 (2015). https://doi.org/10.1007/JHEP11(2015)106
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DOI: https://doi.org/10.1007/JHEP11(2015)106