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No manifest T-duality at order α'3

2024/11/22 by Hsia, Steven Weilong, Adel M. Kamal, Kamal, Ahmed Rakin +2
Mathematics · #Advanced Algebra and Geometry #Algebraic structures and combinatorial models #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Mathematical Analysis and Transform Methods

paper · pdf · doi:10.48550/arxiv.2411.15302

openalex publication_date 2024/11/22 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/31

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 α'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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