Bootstrapping mixed correlators in the 2D Ising model

Abstract

Bootstrapping mixed correlators in three dimensional conformal field theories with a ${\mathbb{Z}}_2$ global symmetry has previously led to a closed allowed region in (${\Delta }_{\sigma }$, ${\Delta }_{\epsilon }$) space surrounding the 3D Ising model. We repeat that analysis in two dimensions. By further assuming a gap in the spin-2 sector, we also find a closed allowed region in (${\Delta }_{\sigma }$, ${\Delta }_{\epsilon }$) space surrounding the 2D Ising model.

3+1 pages, 1 figure