2d duality for orthogonal gauge theories with 8 supersymmetries
Abstract We recently conjectured a set of dualities relating two-dimensional orthogonal gauge theories with N $$ \mathcal{N} $$ = (4, 4) supersymmetry, analogous to Hori’s dualities with N $$ \mathcal{N} $$ = (2, 2) supersymmetry. Here we provide a quantitative test of this conjecture by computing t...
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| Format: | Article |
| Language: | English |
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SpringerOpen
2019-06-01
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| Series: | Journal of High Energy Physics |
| Subjects: | |
| Online Access: | http://link.springer.com/article/10.1007/JHEP06(2019)074 |
| _version_ | 1818020458229923840 |
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| author | Eran Avraham Oren Bergman |
| author_facet | Eran Avraham Oren Bergman |
| author_sort | Eran Avraham |
| collection | DOAJ |
| description | Abstract We recently conjectured a set of dualities relating two-dimensional orthogonal gauge theories with N $$ \mathcal{N} $$ = (4, 4) supersymmetry, analogous to Hori’s dualities with N $$ \mathcal{N} $$ = (2, 2) supersymmetry. Here we provide a quantitative test of this conjecture by computing the elliptic genera of the dual pairs and showing that they agree. The elliptic genus of orthogonal gauge theories has multiple topological sectors that depend on the global structure of the group and on the value of a discrete θ parameter. We derive the dependence on the θ parameter by determining whether a given sector has (S)Pin structure or not. |
| first_indexed | 2024-04-14T08:05:35Z |
| format | Article |
| id | doaj.art-c6d00d6d8a8043f1b9d07099400ae397 |
| institution | Directory Open Access Journal |
| issn | 1029-8479 |
| language | English |
| last_indexed | 2024-04-14T08:05:35Z |
| publishDate | 2019-06-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj.art-c6d00d6d8a8043f1b9d07099400ae3972022-12-22T02:04:45ZengSpringerOpenJournal of High Energy Physics1029-84792019-06-012019611610.1007/JHEP06(2019)0742d duality for orthogonal gauge theories with 8 supersymmetriesEran Avraham0Oren Bergman1Department of Physics, Technion, Israel Institute of TechnologyDepartment of Physics, Technion, Israel Institute of TechnologyAbstract We recently conjectured a set of dualities relating two-dimensional orthogonal gauge theories with N $$ \mathcal{N} $$ = (4, 4) supersymmetry, analogous to Hori’s dualities with N $$ \mathcal{N} $$ = (2, 2) supersymmetry. Here we provide a quantitative test of this conjecture by computing the elliptic genera of the dual pairs and showing that they agree. The elliptic genus of orthogonal gauge theories has multiple topological sectors that depend on the global structure of the group and on the value of a discrete θ parameter. We derive the dependence on the θ parameter by determining whether a given sector has (S)Pin structure or not.http://link.springer.com/article/10.1007/JHEP06(2019)074Duality in Gauge Field TheoriesSupersymmetric Gauge TheorySupersymmetry and Duality |
| spellingShingle | Eran Avraham Oren Bergman 2d duality for orthogonal gauge theories with 8 supersymmetries Journal of High Energy Physics Duality in Gauge Field Theories Supersymmetric Gauge Theory Supersymmetry and Duality |
| title | 2d duality for orthogonal gauge theories with 8 supersymmetries |
| title_full | 2d duality for orthogonal gauge theories with 8 supersymmetries |
| title_fullStr | 2d duality for orthogonal gauge theories with 8 supersymmetries |
| title_full_unstemmed | 2d duality for orthogonal gauge theories with 8 supersymmetries |
| title_short | 2d duality for orthogonal gauge theories with 8 supersymmetries |
| title_sort | 2d duality for orthogonal gauge theories with 8 supersymmetries |
| topic | Duality in Gauge Field Theories Supersymmetric Gauge Theory Supersymmetry and Duality |
| url | http://link.springer.com/article/10.1007/JHEP06(2019)074 |
| work_keys_str_mv | AT eranavraham 2ddualityfororthogonalgaugetheorieswith8supersymmetries AT orenbergman 2ddualityfororthogonalgaugetheorieswith8supersymmetries |