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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2512.24726 |
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| _version_ | 1866915701177974784 |
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| author | Bykov, Dmitri Kutsubin, Savva Kuzovchikov, Andrew |
| author_facet | Bykov, Dmitri Kutsubin, Savva Kuzovchikov, Andrew |
| contents | We study the situation when the T-dual of a toric Kähler geometry is a generalized Kähler geometry involving semi-chiral fields. We explain that this situation is generic for polycylinders, tori and related geometries. Gauging multiple isometries in this case requires the introduction of semi-chiral gauge fields on top of the standard ones. We then apply this technology to the generalized Kähler geometry of the $η$-deformed $\mathbb{CP}^{n-1}$ model, relating it to the Kähler geometry of its T-dual. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2512_24726 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | T-duality for toric manifolds in $\mathcal{N}=(2, 2)$ superspace Bykov, Dmitri Kutsubin, Savva Kuzovchikov, Andrew High Energy Physics - Theory Mathematical Physics We study the situation when the T-dual of a toric Kähler geometry is a generalized Kähler geometry involving semi-chiral fields. We explain that this situation is generic for polycylinders, tori and related geometries. Gauging multiple isometries in this case requires the introduction of semi-chiral gauge fields on top of the standard ones. We then apply this technology to the generalized Kähler geometry of the $η$-deformed $\mathbb{CP}^{n-1}$ model, relating it to the Kähler geometry of its T-dual. |
| title | T-duality for toric manifolds in $\mathcal{N}=(2, 2)$ superspace |
| topic | High Energy Physics - Theory Mathematical Physics |
| url | https://arxiv.org/abs/2512.24726 |