3d N $$ \mathcal{N} $$ = 2 brane webs and quiver matrices
Abstract We discuss 3d brane webs and effective Chern-Simons levels for 3d N $$ \mathcal{N} $$ = 2 gauge theories. We find that turning on real masses for chiral multiplets leads to various equivalent brane webs that are related by flipping positions of D5-branes. We interpret flips as ST-transforma...
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| Format: | Article |
| Language: | English |
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SpringerOpen
2022-07-01
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| Series: | Journal of High Energy Physics |
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| Online Access: | https://doi.org/10.1007/JHEP07(2022)107 |
| _version_ | 1817968855221272576 |
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| author | Shi Cheng |
| author_facet | Shi Cheng |
| author_sort | Shi Cheng |
| collection | DOAJ |
| description | Abstract We discuss 3d brane webs and effective Chern-Simons levels for 3d N $$ \mathcal{N} $$ = 2 gauge theories. We find that turning on real masses for chiral multiplets leads to various equivalent brane webs that are related by flipping positions of D5-branes. We interpret flips as ST-transformations for chiral multiplets. ST-transformations could turn abelian theories into dual theories with mixed Chern-Simons levels that are interpreted as quiver matrices C ij encoding DT-invariants. We notice that each brane web corresponds to a quiver matrix. ST-transformations of holomorphic blocks are discussed to verify results. We also discuss the movement of flavor D5-branes, which leads to double-layer brane webs and manifests fiber-base duality. In the second part, we compute refined vortex partition functions of nonabelian theories with the gauge group U(N) and find corresponding quiver matrices. The computation shows that on Higgs branch nonabelian groups are broken to abelian groups. |
| first_indexed | 2024-04-13T20:14:06Z |
| format | Article |
| id | doaj.art-ee00068d7f4d4163838fbfb14c3742a3 |
| institution | Directory Open Access Journal |
| issn | 1029-8479 |
| language | English |
| last_indexed | 2024-04-13T20:14:06Z |
| publishDate | 2022-07-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj.art-ee00068d7f4d4163838fbfb14c3742a32022-12-22T02:31:46ZengSpringerOpenJournal of High Energy Physics1029-84792022-07-012022714710.1007/JHEP07(2022)1073d N $$ \mathcal{N} $$ = 2 brane webs and quiver matricesShi Cheng0Faculty of Physics, University of WarsawAbstract We discuss 3d brane webs and effective Chern-Simons levels for 3d N $$ \mathcal{N} $$ = 2 gauge theories. We find that turning on real masses for chiral multiplets leads to various equivalent brane webs that are related by flipping positions of D5-branes. We interpret flips as ST-transformations for chiral multiplets. ST-transformations could turn abelian theories into dual theories with mixed Chern-Simons levels that are interpreted as quiver matrices C ij encoding DT-invariants. We notice that each brane web corresponds to a quiver matrix. ST-transformations of holomorphic blocks are discussed to verify results. We also discuss the movement of flavor D5-branes, which leads to double-layer brane webs and manifests fiber-base duality. In the second part, we compute refined vortex partition functions of nonabelian theories with the gauge group U(N) and find corresponding quiver matrices. The computation shows that on Higgs branch nonabelian groups are broken to abelian groups.https://doi.org/10.1007/JHEP07(2022)107Brane Dynamics in Gauge TheoriesDuality in Gauge Field TheoriesTopological Strings |
| spellingShingle | Shi Cheng 3d N $$ \mathcal{N} $$ = 2 brane webs and quiver matrices Journal of High Energy Physics Brane Dynamics in Gauge Theories Duality in Gauge Field Theories Topological Strings |
| title | 3d N $$ \mathcal{N} $$ = 2 brane webs and quiver matrices |
| title_full | 3d N $$ \mathcal{N} $$ = 2 brane webs and quiver matrices |
| title_fullStr | 3d N $$ \mathcal{N} $$ = 2 brane webs and quiver matrices |
| title_full_unstemmed | 3d N $$ \mathcal{N} $$ = 2 brane webs and quiver matrices |
| title_short | 3d N $$ \mathcal{N} $$ = 2 brane webs and quiver matrices |
| title_sort | 3d n mathcal n 2 brane webs and quiver matrices |
| topic | Brane Dynamics in Gauge Theories Duality in Gauge Field Theories Topological Strings |
| url | https://doi.org/10.1007/JHEP07(2022)107 |
| work_keys_str_mv | AT shicheng 3dnmathcaln2branewebsandquivermatrices |