Bootstrapping mixed correlators in the 3D Ising model
Abstract
We 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 &Z;_{2} global symmetry. For the leading &Z;_{2}odd operator σ and &Z;_{2}even operator ∊, we obtain numerical constraints on the allowed dimensions (∆_{ σ }, ∆_{ ∊ }) assuming that σ and ∊ are the only relevant scalars in the theory. These constraints yield a small closed region in (∆_{ σ }, ∆_{ ∊ }) space compatible with the known values in the 3D Ising CFT.
 Publication:

Journal of High Energy Physics
 Pub Date:
 November 2014
 DOI:
 10.1007/JHEP11(2014)109
 arXiv:
 arXiv:1406.4858
 Bibcode:
 2014JHEP...11..109K
 Keywords:

 Conformal and W Symmetry;
 Nonperturbative Effects;
 Discrete and Finite Symmetries;
 High Energy Physics  Theory;
 Condensed Matter  Statistical Mechanics;
 High Energy Physics  Lattice
 EPrint:
 39 pages, 6 figures