Line operators from M-branes on compact Riemann surfaces
Publisher DOI
Abstract
In this paper, we determine the charge lattice of mutually local Wilson and ’t Hooft line operators for class S theories living on M5-branes wrapped on compact Riemann surfaces. The main ingredients of our analysis are the fundamental group of the N-cover of the Riemann surface, and a quantum constraint on the six-dimensional theory. The latterplays a central role in excluding some of the possible lattices and imposing consistency conditions on the charges. This construction gives a geometric explanation for the mutual locality among the lines, fixing their charge lattice and the structure of the four-dimensional gauge group.
Date Issued
2016-11-14
Publication Type
Article
Subject(s)
Language(s)
en
Journal
Nuclear physics. B
Publisher
North Holland
ISSN
0550-3213
Access(Rights)
open.access