T-dualities in gauged linear sigma models
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arXiv
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| Format: | Preprint |
| Publié: |
2024
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| _version_ | 1866910419247955968 |
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| author | Bizet, Nana Cabo |
| author_facet | Bizet, Nana Cabo |
| contents | We describe non-Abelian T-dualities for $\mathcal{N} = 2$ two dimensional gauged linear sigma model (GLSM). We start with the case of left and right $(2, 2)$ supersymmetry (SUSY), $U(1)$ gauge group, and global non-Abelian symmetries. Our analysis applies to the specialization of the GLSM with the global group $SU(2)\times SU(2)$, whose original model is the resolved conifold. We analyze the dual model and compute the periods on the dual geometry, matching the effective potential for the $U(1)$ gauge field, and discuss the coincident singularity at the conifold point. We further present the non-Abelian T-dualization of models with $(0,2)$ SUSY, analyzing the case of global symmetry $SU(2)$. In this case the full non-Abelian duality can be solved. The dual geometries with and without non-perturbative corrections to the superpotential coincide. The structure of the dual non-perturbative corrections employed are determined based on symmetry arguments. The non-Abelian T-dualities reviewed here lead to potential new symmetries between physical theories. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2404_15025 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | T-dualities in gauged linear sigma models Bizet, Nana Cabo High Energy Physics - Theory Mathematical Physics We describe non-Abelian T-dualities for $\mathcal{N} = 2$ two dimensional gauged linear sigma model (GLSM). We start with the case of left and right $(2, 2)$ supersymmetry (SUSY), $U(1)$ gauge group, and global non-Abelian symmetries. Our analysis applies to the specialization of the GLSM with the global group $SU(2)\times SU(2)$, whose original model is the resolved conifold. We analyze the dual model and compute the periods on the dual geometry, matching the effective potential for the $U(1)$ gauge field, and discuss the coincident singularity at the conifold point. We further present the non-Abelian T-dualization of models with $(0,2)$ SUSY, analyzing the case of global symmetry $SU(2)$. In this case the full non-Abelian duality can be solved. The dual geometries with and without non-perturbative corrections to the superpotential coincide. The structure of the dual non-perturbative corrections employed are determined based on symmetry arguments. The non-Abelian T-dualities reviewed here lead to potential new symmetries between physical theories. |
| title | T-dualities in gauged linear sigma models |
| topic | High Energy Physics - Theory Mathematical Physics |
| url | https://arxiv.org/abs/2404.15025 |