Conformal bootstrap analysis for the Yang-Lee edge singularity

Abstract

The Yang-Lee edge singularity is investigated by the determinant method of the conformal field theory. 3 × 3 minors are used for the evaluation of the scale dimension. The agreement with the Padé of expansion in the region 3 < D < 6 is improved. The critical dimension D c , where the scale dimension of scalar φ is vanishing, is used for the improvement of the Padé. For the understanding of the intersection point of zero loci of 3×3 minors, 2×2 minors are investigated in detail; these are connected through Plüker relations.