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arXiv · 1603.03044

Line operators from M-branes on compact Riemann surfaces

Antonio Amariti·Domenico Orlando·Susanne Reffert
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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. This latter plays 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.

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Antonio Amariti, Domenico Orlando, Susanne Reffert. 2016-03-09. Line operators from M-branes on compact Riemann surfaces. https://doi.org/10.1016/j.nuclphysb.2016.09.012

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