Gauge-Dressed Complex Geometry and T-duality in Heterotic String Theories
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| Format: | Preprint |
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2026
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| _version_ | 1866909035749441536 |
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| author | Sasaki, Shin Shiozawa, Kenta |
| author_facet | Sasaki, Shin Shiozawa, Kenta |
| contents | We study T-duality of $(p,q)$-hermitian geometries in backgrounds with non-Abelian gauge fields $A$ in heterotic string theories. We introduce a gauge-dressed complex geometry characterized by a shifted metric $\bar{g} = g + \frac{1}{2} \mathrm{Tr}(A^2)$, the closed 2-form $ω$ and a quasi complex structure satisfying $\bar{J}^2 < 0$, but not necessarily $\bar{J}^2 = -1$. Utilizing the positive and negative chirality half generalized complex-like structures constructed by $(\bar{g}, \bar{J})$, we derive a heterotic Buscher-like rule for geometric quantities. We also demonstrate that the gauge-dressed structures can be used to construct an extended Born geometry that satisfies algebras of hypercomplex numbers. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2605_11945 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Gauge-Dressed Complex Geometry and T-duality in Heterotic String Theories Sasaki, Shin Shiozawa, Kenta High Energy Physics - Theory We study T-duality of $(p,q)$-hermitian geometries in backgrounds with non-Abelian gauge fields $A$ in heterotic string theories. We introduce a gauge-dressed complex geometry characterized by a shifted metric $\bar{g} = g + \frac{1}{2} \mathrm{Tr}(A^2)$, the closed 2-form $ω$ and a quasi complex structure satisfying $\bar{J}^2 < 0$, but not necessarily $\bar{J}^2 = -1$. Utilizing the positive and negative chirality half generalized complex-like structures constructed by $(\bar{g}, \bar{J})$, we derive a heterotic Buscher-like rule for geometric quantities. We also demonstrate that the gauge-dressed structures can be used to construct an extended Born geometry that satisfies algebras of hypercomplex numbers. |
| title | Gauge-Dressed Complex Geometry and T-duality in Heterotic String Theories |
| topic | High Energy Physics - Theory |
| url | https://arxiv.org/abs/2605.11945 |