Non-principal T-duality, generalized complex geometry and blow-ups
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arXiv
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| Auteurs principaux: | , |
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| Format: | Preprint |
| Publié: |
2022
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| _version_ | 1866913751869947904 |
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| author | Cavalcanti, Gil R. Witte, Aldo |
| author_facet | Cavalcanti, Gil R. Witte, Aldo |
| contents | We extend the notion of T-duality to manifolds endowed with non-principal torus actions. The singularities of the torus action are controlled by a certain Lie algebroid, called the elliptic tangent bundle. Using this Lie algebroid, we explain how certain invariant generalized complex structures can be transported via T-duality. Along the way, we use the elliptic tangent bundle to define connections for these torus action, and give new insight to the classification of such actions by Haefliger-Salem. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2211_17173 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | Non-principal T-duality, generalized complex geometry and blow-ups Cavalcanti, Gil R. Witte, Aldo Differential Geometry High Energy Physics - Theory Symplectic Geometry 53D18, 53D17, 53Z05, 53D05, 81T30, 81T35 We extend the notion of T-duality to manifolds endowed with non-principal torus actions. The singularities of the torus action are controlled by a certain Lie algebroid, called the elliptic tangent bundle. Using this Lie algebroid, we explain how certain invariant generalized complex structures can be transported via T-duality. Along the way, we use the elliptic tangent bundle to define connections for these torus action, and give new insight to the classification of such actions by Haefliger-Salem. |
| title | Non-principal T-duality, generalized complex geometry and blow-ups |
| topic | Differential Geometry High Energy Physics - Theory Symplectic Geometry 53D18, 53D17, 53Z05, 53D05, 81T30, 81T35 |
| url | https://arxiv.org/abs/2211.17173 |