Bootstrap equations for N $$ \mathcal{N} $$ = 4 SYM with defects
Year: 2017
Type: article
Abstract: This paper focuses on the analysis of 4d $$ \mathcal{N} $$ = 4 superconformal theories in the presence of a defect from the point of view of the conformal bootstrap. We will concentrate first on the case of codimension one, where the defect is a boundary that preserves half of the supersymmetry. After studying the constraints imposed by supersymmetry, we will obtain the Ward identities associated to two-point functions of $$ \frac{1}{2} $$ -BPS operators and write their solution as a superconformal block expansion. Due to a surprising connection between spacetime and R-symmetry conformal blocks, our results not only apply to 4d $$ \mathcal{N} $$ = 4 superconformal theories with a boundary, but also to three more systems that have the same symmetry algebra: 4d $$ \mathcal{N} $$ = 4 superconformal theories with a line defect, 3d $$ \mathcal{N} $$ = 4 superconformal theories with no defect, and OSP(4∗|4) superconformal quantum mechanics. The superconformal algebra implies that all these systems possess a closed subsector of operators in which the bootstrap equations become polynomial constraints on the CFT data. We derive these truncated equations and initiate the study of their solutions.
Source: Journal of High Energy Physics
Authors: Pedro Liendo, Carlo Meneghelli
Language: English
Subfield: Nuclear and High Energy Physics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: diamond
OpenAlex ID: W2949664422