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.

arXiv comment3+1 pages, 1 figure

References in corpus (8)

• The Conformal Bootstrap: Theory, Numerical Techniques, and Applications
• Precision Islands in the Ising and $O(N)$ Models
• EPFL Lectures on Conformal Field Theory in D>= 3 Dimensions
• OPE Convergence in Conformal Field Theory
• Radial Coordinates for Conformal Blocks
• TASI Lectures on the Conformal Bootstrap
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Cited by in corpus (1)

• Crossing, Modular Averages and $N\leftrightarrow k$ in WZW Models