Bootstrapping mixed correlators in the 3D Ising model

@article{Kos2014BootstrappingMC,
  title={Bootstrapping mixed correlators in the 3D Ising model},
  author={F. Kos and David Poland and D. Simmons-Duffin},
  journal={Journal of High Energy Physics},
  year={2014},
  volume={2014},
  pages={1-36}
}
A bstractWe study the conformal bootstrap for systems of correlators involving nonidentical operators. The constraints of crossing symmetry and unitarity for such mixed correlators can be phrased in the language of semidefinite programming. We apply this formalism to the simplest system of mixed correlators in 3D CFTs with a ℤ2 global symmetry. For the leading ℤ2-odd operator σ and ℤ2-even operator ϵ, we obtain numerical constraints on the allowed dimensions (Δσ, Δϵ) assuming that σ and ϵ are… Expand
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