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arXiv · 2411.15302

No manifest T-duality at order $\alpha'^3$

Steven Weilong Hsia·Ahmed Rakin Kamal·Linus Wulff
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Abstract

When reduced from $10$ to $10-d$ dimensions tree-level string theory exhibits an $O(d,d)$ symmetry. This symmetry, which is closely related to T-duality, appears only after certain field redefinitions. We find a simple form for a subset of these redefinitions at order $\alpha'^3$ and show that they cannot be lifted to ten dimensions. This is inconsistent with ``manifestly T-duality invariant'' approaches such as generalized geometry (in the uncompactified setting). Such formulations therefore seem not to be the correct language to describe string theory.

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Steven Weilong Hsia, Ahmed Rakin Kamal, Linus Wulff. 2024-11-22. No manifest T-duality at order $\alpha'^3$. https://arxiv.org/abs/2411.15302

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