Line defects in three dimensional mirror symmetry beyond ADE quivers
Abstract Understanding the map of line defects in a Quantum Field Theory under a given duality is generically a difficult problem. This paper is the second in a series which aims to address this question in the context of 3d N $$ \mathcal{N} $$ = 4 mirror symmetry. A general prescription for constru...
| Main Author: | |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
SpringerOpen
2023-02-01
|
| Series: | Journal of High Energy Physics |
| Subjects: | |
| Online Access: | https://doi.org/10.1007/JHEP02(2023)213 |
| _version_ | 1797779037315137536 |
|---|---|
| author | Anindya Dey |
| author_facet | Anindya Dey |
| author_sort | Anindya Dey |
| collection | DOAJ |
| description | Abstract Understanding the map of line defects in a Quantum Field Theory under a given duality is generically a difficult problem. This paper is the second in a series which aims to address this question in the context of 3d N $$ \mathcal{N} $$ = 4 mirror symmetry. A general prescription for constructing vortex defects and their mirror maps in quiver gauge theories beyond the A-type was presented by the author in an earlier paper [1], where specific examples involving D-type and affine D-type quivers were discussed. In this paper, we apply the aforementioned prescription to construct a family of vortex defects as coupled 3d-1d systems in quiver gauge theories beyond the ADE-type, and study their mirror maps. Specifically, we focus on a class of quiver gauge theories involving unitary gauge nodes with edge multiplicity greater than 1, i.e. two gauge nodes in these theories may be connected by multiple bifundamental hypermultiplets. Quiver gauge theories of this type arise as 3d mirrors of certain Argyres-Douglas theories compactified on a circle. Some of these quiver gauge theories are known to have a pair of 3d mirrors, which are themselves related by an IR duality, discussed recently in [2]. For a concrete example where a pair of 3d mirrors do exist, we study how the vortex defects constructed using our prescription map to Wilson defects in each mirror theory. |
| first_indexed | 2024-03-12T23:25:57Z |
| format | Article |
| id | doaj.art-2a08cd2bbde243ffabb7f9fe5118a07e |
| institution | Directory Open Access Journal |
| issn | 1029-8479 |
| language | English |
| last_indexed | 2024-03-12T23:25:57Z |
| publishDate | 2023-02-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj.art-2a08cd2bbde243ffabb7f9fe5118a07e2023-07-16T11:07:55ZengSpringerOpenJournal of High Energy Physics1029-84792023-02-012023214110.1007/JHEP02(2023)213Line defects in three dimensional mirror symmetry beyond ADE quiversAnindya Dey0Department of Physics and Astronomy, Johns Hopkins UniversityAbstract Understanding the map of line defects in a Quantum Field Theory under a given duality is generically a difficult problem. This paper is the second in a series which aims to address this question in the context of 3d N $$ \mathcal{N} $$ = 4 mirror symmetry. A general prescription for constructing vortex defects and their mirror maps in quiver gauge theories beyond the A-type was presented by the author in an earlier paper [1], where specific examples involving D-type and affine D-type quivers were discussed. In this paper, we apply the aforementioned prescription to construct a family of vortex defects as coupled 3d-1d systems in quiver gauge theories beyond the ADE-type, and study their mirror maps. Specifically, we focus on a class of quiver gauge theories involving unitary gauge nodes with edge multiplicity greater than 1, i.e. two gauge nodes in these theories may be connected by multiple bifundamental hypermultiplets. Quiver gauge theories of this type arise as 3d mirrors of certain Argyres-Douglas theories compactified on a circle. Some of these quiver gauge theories are known to have a pair of 3d mirrors, which are themselves related by an IR duality, discussed recently in [2]. For a concrete example where a pair of 3d mirrors do exist, we study how the vortex defects constructed using our prescription map to Wilson defects in each mirror theory.https://doi.org/10.1007/JHEP02(2023)213Field Theories in Lower DimensionsSupersymmetric Gauge TheorySupersymmetry and DualityWilson, ’t Hooft and Polyakov loops |
| spellingShingle | Anindya Dey Line defects in three dimensional mirror symmetry beyond ADE quivers Journal of High Energy Physics Field Theories in Lower Dimensions Supersymmetric Gauge Theory Supersymmetry and Duality Wilson, ’t Hooft and Polyakov loops |
| title | Line defects in three dimensional mirror symmetry beyond ADE quivers |
| title_full | Line defects in three dimensional mirror symmetry beyond ADE quivers |
| title_fullStr | Line defects in three dimensional mirror symmetry beyond ADE quivers |
| title_full_unstemmed | Line defects in three dimensional mirror symmetry beyond ADE quivers |
| title_short | Line defects in three dimensional mirror symmetry beyond ADE quivers |
| title_sort | line defects in three dimensional mirror symmetry beyond ade quivers |
| topic | Field Theories in Lower Dimensions Supersymmetric Gauge Theory Supersymmetry and Duality Wilson, ’t Hooft and Polyakov loops |
| url | https://doi.org/10.1007/JHEP02(2023)213 |
| work_keys_str_mv | AT anindyadey linedefectsinthreedimensionalmirrorsymmetrybeyondadequivers |