The quantum UV-IR map for line defects in gl $$ \mathfrak{gl} $$ (3)-type class S theories
Abstract We consider the quantum UV-IR map for line defects in class S theories of gl $$ \mathfrak{gl} $$ (3)-type. This map computes the protected spin character which counts framed BPS states with spin for the bulk-defect system. We give a geometric method of computing this map motivated by the ph...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2022-09-01
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| Series: | Journal of High Energy Physics |
| Subjects: | |
| Online Access: | https://doi.org/10.1007/JHEP09(2022)081 |
| _version_ | 1811267633911169024 |
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| author | Andrew Neitzke Fei Yan |
| author_facet | Andrew Neitzke Fei Yan |
| author_sort | Andrew Neitzke |
| collection | DOAJ |
| description | Abstract We consider the quantum UV-IR map for line defects in class S theories of gl $$ \mathfrak{gl} $$ (3)-type. This map computes the protected spin character which counts framed BPS states with spin for the bulk-defect system. We give a geometric method of computing this map motivated by the physics of five-dimensional N $$ \mathcal{N} $$ = 2 supersymmetric Yang-Mills theory, and compute it explicitly in various examples. As a spin-off we propose a new way of computing a certain specialization of the HOMFLY polynomial for links in ℝ3, as a sum over BPS webs attached to the link. |
| first_indexed | 2024-04-12T21:07:33Z |
| format | Article |
| id | doaj.art-a88de474f2eb46a1a75dc611b63c9f3b |
| institution | Directory Open Access Journal |
| issn | 1029-8479 |
| language | English |
| last_indexed | 2024-04-12T21:07:33Z |
| publishDate | 2022-09-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj.art-a88de474f2eb46a1a75dc611b63c9f3b2022-12-22T03:16:41ZengSpringerOpenJournal of High Energy Physics1029-84792022-09-012022915110.1007/JHEP09(2022)081The quantum UV-IR map for line defects in gl $$ \mathfrak{gl} $$ (3)-type class S theoriesAndrew Neitzke0Fei Yan1Department of Mathematics, Yale UniversityNHETC and Department of Physics and Astronomy, Rutgers UniversityAbstract We consider the quantum UV-IR map for line defects in class S theories of gl $$ \mathfrak{gl} $$ (3)-type. This map computes the protected spin character which counts framed BPS states with spin for the bulk-defect system. We give a geometric method of computing this map motivated by the physics of five-dimensional N $$ \mathcal{N} $$ = 2 supersymmetric Yang-Mills theory, and compute it explicitly in various examples. As a spin-off we propose a new way of computing a certain specialization of the HOMFLY polynomial for links in ℝ3, as a sum over BPS webs attached to the link.https://doi.org/10.1007/JHEP09(2022)081Chern-Simons TheoriesQuantum GroupsSupersymmetric Gauge TheoryWilson, ’t Hooft and Polyakov loops |
| spellingShingle | Andrew Neitzke Fei Yan The quantum UV-IR map for line defects in gl $$ \mathfrak{gl} $$ (3)-type class S theories Journal of High Energy Physics Chern-Simons Theories Quantum Groups Supersymmetric Gauge Theory Wilson, ’t Hooft and Polyakov loops |
| title | The quantum UV-IR map for line defects in gl $$ \mathfrak{gl} $$ (3)-type class S theories |
| title_full | The quantum UV-IR map for line defects in gl $$ \mathfrak{gl} $$ (3)-type class S theories |
| title_fullStr | The quantum UV-IR map for line defects in gl $$ \mathfrak{gl} $$ (3)-type class S theories |
| title_full_unstemmed | The quantum UV-IR map for line defects in gl $$ \mathfrak{gl} $$ (3)-type class S theories |
| title_short | The quantum UV-IR map for line defects in gl $$ \mathfrak{gl} $$ (3)-type class S theories |
| title_sort | quantum uv ir map for line defects in gl mathfrak gl 3 type class s theories |
| topic | Chern-Simons Theories Quantum Groups Supersymmetric Gauge Theory Wilson, ’t Hooft and Polyakov loops |
| url | https://doi.org/10.1007/JHEP09(2022)081 |
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