Line operators from M-branes on compact Riemann surfaces

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• 作者：Antonio Amariti^a ; Domenico Orlando^b ; Susanne Reffert^b ; ^{sreffert@itp.unibe.ch}
• 刊名：Nuclear Physics B
• 出版年：2016
• 出版时间：December 2016
• 年：2016
• 卷：913
• 期：Complete
• 页码：93-109
• 全文大小：947 K
• 卷排序：913

文摘

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 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.