Journal article
Mirror symmetry and line operators
- Abstract:
-
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.
- Publication status:
- Published
- Peer review status:
- Peer reviewed
Actions
Access Document
- Files:
-
-
(Preview, Version of record, pdf, 2.8MB, Terms of use)
-
- Publisher copy:
- 10.1007/JHEP02(2020)075
Authors
- Funder identifier:
- https://ror.org/029b7h395
- Publisher:
- Springer
- Journal:
- Journal of High Energy Physics More from this journal
- Volume:
- 2020
- Issue:
- 2
- Article number:
- 75
- Publication date:
- 2020-02-12
- Acceptance date:
- 2020-01-19
- DOI:
- EISSN:
-
1029-8479
- ISSN:
-
1126-6708
- Language:
-
English
- Keywords:
- Pubs id:
-
2037997
- Local pid:
-
pubs:2037997
- Deposit date:
-
2024-12-02
Terms of use
- Copyright holder:
- Dimofte et al.
- Copyright date:
- 2019
- Rights statement:
- Copyright © 2020, The Author(s). This article is distributed under the terms of the Creative Commons Attribution License (CC-BY 4.0), which permits any use, distribution and reproduction in any medium, provided the original author(s) and source are credited.
- Licence:
- CC Attribution (CC BY)
If you are the owner of this record, you can report an update to it here: Report update to this record