Five-brane webs, 3d N $$ \mathcal{N} $$ = 2 theories and quantum curves
Abstract We propose a relation between the brane configurations consisting of D3-branes and 5-brane webs which realize 3d N $$ \mathcal{N} $$ = 2 supersymmetric Chern-Simons theories and quantum curves by focusing on the S 3 partition functions. In particular, we conjecture that the Newton polygons...
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| Format: | Article |
| Language: | English |
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2025-05-01
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| Series: | Journal of High Energy Physics |
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| Online Access: | https://doi.org/10.1007/JHEP05(2025)103 |
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| author | Naotaka Kubo |
| author_facet | Naotaka Kubo |
| author_sort | Naotaka Kubo |
| collection | DOAJ |
| description | Abstract We propose a relation between the brane configurations consisting of D3-branes and 5-brane webs which realize 3d N $$ \mathcal{N} $$ = 2 supersymmetric Chern-Simons theories and quantum curves by focusing on the S 3 partition functions. In particular, we conjecture that the Newton polygons of the quantum curves are equal to the toric diagrams which are dual to the 5-brane webs. For brane configurations whose worldvolume theories have Lagrangian descriptions, we show an explicit derivation of the relation by using the supersymmetric localization and the Fermi gas formalism. We also provide some evidence of the conjecture for non-Lagrangian theories. We see that our conjecture gives us new matrix models for 5-brane webs including a (p, q)5-brane with arbitrary p. This leads to explicit relations between the brane configurations, the matrix models and genus one quantum curves. |
| format | Article |
| id | doaj-art-e5bc286f588b4f98a46bb896daa53b50 |
| institution | Kabale University |
| issn | 1029-8479 |
| language | English |
| publishDate | 2025-05-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj-art-e5bc286f588b4f98a46bb896daa53b502025-08-20T03:25:15ZengSpringerOpenJournal of High Energy Physics1029-84792025-05-012025515210.1007/JHEP05(2025)103Five-brane webs, 3d N $$ \mathcal{N} $$ = 2 theories and quantum curvesNaotaka Kubo0Center for Joint Quantum Studies and Department of Physics, School of Science, Tianjin UniversityAbstract We propose a relation between the brane configurations consisting of D3-branes and 5-brane webs which realize 3d N $$ \mathcal{N} $$ = 2 supersymmetric Chern-Simons theories and quantum curves by focusing on the S 3 partition functions. In particular, we conjecture that the Newton polygons of the quantum curves are equal to the toric diagrams which are dual to the 5-brane webs. For brane configurations whose worldvolume theories have Lagrangian descriptions, we show an explicit derivation of the relation by using the supersymmetric localization and the Fermi gas formalism. We also provide some evidence of the conjecture for non-Lagrangian theories. We see that our conjecture gives us new matrix models for 5-brane webs including a (p, q)5-brane with arbitrary p. This leads to explicit relations between the brane configurations, the matrix models and genus one quantum curves.https://doi.org/10.1007/JHEP05(2025)103D-BranesMatrix ModelsSupersymmetric Gauge TheoryChern-Simons Theories |
| spellingShingle | Naotaka Kubo Five-brane webs, 3d N $$ \mathcal{N} $$ = 2 theories and quantum curves Journal of High Energy Physics D-Branes Matrix Models Supersymmetric Gauge Theory Chern-Simons Theories |
| title | Five-brane webs, 3d N $$ \mathcal{N} $$ = 2 theories and quantum curves |
| title_full | Five-brane webs, 3d N $$ \mathcal{N} $$ = 2 theories and quantum curves |
| title_fullStr | Five-brane webs, 3d N $$ \mathcal{N} $$ = 2 theories and quantum curves |
| title_full_unstemmed | Five-brane webs, 3d N $$ \mathcal{N} $$ = 2 theories and quantum curves |
| title_short | Five-brane webs, 3d N $$ \mathcal{N} $$ = 2 theories and quantum curves |
| title_sort | five brane webs 3d n mathcal n 2 theories and quantum curves |
| topic | D-Branes Matrix Models Supersymmetric Gauge Theory Chern-Simons Theories |
| url | https://doi.org/10.1007/JHEP05(2025)103 |
| work_keys_str_mv | AT naotakakubo fivebranewebs3dnmathcaln2theoriesandquantumcurves |