Mirror symmetry and line operators

Tudor Dimofte, Niklas Garner, Michael Geracie, Justin Hilburn

Research output: Contribution to journalArticlepeer-review

Abstract / Description of output

We study half-BPS line operators in 3d N = 4 gauge theories, focusing in particular on the algebras of local operators at their junctions. It is known that there are two basic types of such line operators, distinguished by the SUSY subalgebras that they preserve; the two types can roughly be called “Wilson lines” and “vortex lines,” and are exchanged under 3d mirror symmetry. We describe a large class of vortex lines that can be characterized by basic algebraic data, and propose a mathematical scheme to compute the algebras of local operators at their junctions — including monopole operators — in terms of this data. The computation generalizes mathematical and physical definitions/analyses of the bulk Coulomb-branch chiral ring. We fully classify the junctions of half-BPS Wilson lines and of half-BPS vortex lines in abelian gauge theories with sufficient matter. We also test our computational scheme in a non-abelian quiver gauge theory, using a 3d-mirror-map of line operators from work of Assel and Gomis.
Original languageEnglish
Article number75
Number of pages153
Journal Journal of High Energy Physics
Publication statusPublished - 12 Feb 2020


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