Surface operators in the 6d N = (2, 0) theory
Abstract
The 6d $\mathcal{N}=\left(2,0\right)$ theory has natural surface operator observables, which are akin in many ways to Wilson loops in gauge theories. We propose a definition of a 'locally BPS' surface operator and study its conformal anomalies, the analog of the conformal dimension of local operators. We study the abelian theory and the holographic dual of the large N theory refining previously used techniques. Introducing nonconstant couplings to the scalar fields allows for an extra anomaly coefficient, which we find in both cases to be related to one of the geometrical anomaly coefficients, suggesting a general relation due to supersymmetry. We also comment on surfaces with conical singularities.
 Publication:

Journal of Physics A Mathematical General
 Pub Date:
 September 2020
 DOI:
 10.1088/17518121/aba1b7
 arXiv:
 arXiv:2003.12372
 Bibcode:
 2020JPhA...53J5401D
 Keywords:

 surface operator;
 supersymmetry;
 conformal anomaly;
 conical singularity;
 6d N=(2;
 0) theory;
 High Energy Physics  Theory
 EPrint:
 31 pages, one figure