On matrix models and their q-deformations
Abstract Motivated by the BPS/CFT correspondence, we explore the similarities be- tween the classical β-deformed Hermitean matrix model and the q-deformed matrix models associated to 3d N $$ \mathcal{N} $$ = 2 supersymmetric gauge theories on D 2 × q S 1 and S b 3 $$ {S}_b^3 $$ by matching parameter...
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SpringerOpen
2020-10-01
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| Series: | Journal of High Energy Physics |
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| Online Access: | http://link.springer.com/article/10.1007/JHEP10(2020)126 |
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doaj-d87b6c5d46644416bb8f86cfc0add22d2020-11-25T04:02:57ZengSpringerOpenJournal of High Energy Physics1029-84792020-10-0120201014510.1007/JHEP10(2020)126On matrix models and their q-deformationsLuca Cassia0Rebecca Lodin1Maxim Zabzine2Department of Physics and Astronomy, Uppsala UniversityDepartment of Physics and Astronomy, Uppsala UniversityDepartment of Physics and Astronomy, Uppsala UniversityAbstract Motivated by the BPS/CFT correspondence, we explore the similarities be- tween the classical β-deformed Hermitean matrix model and the q-deformed matrix models associated to 3d N $$ \mathcal{N} $$ = 2 supersymmetric gauge theories on D 2 × q S 1 and S b 3 $$ {S}_b^3 $$ by matching parameters of the theories. The novel results that we obtain are the correlators for the models, together with an additional result in the classical case consisting of the W -algebra representation of the generating function. Furthermore, we also obtain surprisingly simple expressions for the expectation values of characters which generalize previously known results.http://link.springer.com/article/10.1007/JHEP10(2020)126Conformal and W SymmetryMatrix ModelsSupersymmetric Gauge Theory |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Luca Cassia Rebecca Lodin Maxim Zabzine |
| spellingShingle |
Luca Cassia Rebecca Lodin Maxim Zabzine On matrix models and their q-deformations Journal of High Energy Physics Conformal and W Symmetry Matrix Models Supersymmetric Gauge Theory |
| author_facet |
Luca Cassia Rebecca Lodin Maxim Zabzine |
| author_sort |
Luca Cassia |
| title |
On matrix models and their q-deformations |
| title_short |
On matrix models and their q-deformations |
| title_full |
On matrix models and their q-deformations |
| title_fullStr |
On matrix models and their q-deformations |
| title_full_unstemmed |
On matrix models and their q-deformations |
| title_sort |
on matrix models and their q-deformations |
| publisher |
SpringerOpen |
| series |
Journal of High Energy Physics |
| issn |
1029-8479 |
| publishDate |
2020-10-01 |
| description |
Abstract Motivated by the BPS/CFT correspondence, we explore the similarities be- tween the classical β-deformed Hermitean matrix model and the q-deformed matrix models associated to 3d N $$ \mathcal{N} $$ = 2 supersymmetric gauge theories on D 2 × q S 1 and S b 3 $$ {S}_b^3 $$ by matching parameters of the theories. The novel results that we obtain are the correlators for the models, together with an additional result in the classical case consisting of the W -algebra representation of the generating function. Furthermore, we also obtain surprisingly simple expressions for the expectation values of characters which generalize previously known results. |
| topic |
Conformal and W Symmetry Matrix Models Supersymmetric Gauge Theory |
| url |
http://link.springer.com/article/10.1007/JHEP10(2020)126 |
| work_keys_str_mv |
AT lucacassia onmatrixmodelsandtheirqdeformations AT rebeccalodin onmatrixmodelsandtheirqdeformations AT maximzabzine onmatrixmodelsandtheirqdeformations |
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