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arXiv · 2605.11945

Gauge-Dressed Complex Geometry and T-duality in Heterotic String Theories

Shin Sasaki·Kenta Shiozawa
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Abstract

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 $\omega$ 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.

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Shin Sasaki, Kenta Shiozawa. 2026-05-12. Gauge-Dressed Complex Geometry and T-duality in Heterotic String Theories. https://arxiv.org/abs/2605.11945

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