No manifest T-duality at order α3\alpha'^3

Nov 22, 2024
6 pages
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Abstract: (arXiv)
When reduced from 1010 to 10d10-d dimensions tree-level string theory exhibits an O(d,d)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 α3\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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  • 6 pages