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

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arxiv 2411.15302 v2 pith:GAGYN3N6 submitted 2024-11-22 hep-th

Steven Weilong Hsia , Ahmed Rakin Kamal , Linus Wulff This is my paper
classification hep-th
keywords t-dualityalphadimensionsorderredefinitionsstringsymmetrytheory
verification ladder T0 review T1 audit T2 compute T3 formal
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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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Cited by 4 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. $\alpha'$-Bootstrap

    hep-th 2026-07 conditional novelty 6.5 of 10

    An infinite-dimensional algebraic structure on a megaspace yields recursive, T-duality-covariant NS-NS α' and α'^{2} corrections matching known bosonic and heterotic results up to field redefinitions.

  2. Perturbative K\"ahler Moduli Inflation

    hep-th 2025-06 reject novelty 6.0 of 10

    Two classes of slow-roll inflation potentials, V0(1+C1 φ^(2/3)) and V0(1-C2 φ^(-2/3)), are derived from perturbative Kähler moduli stabilization and give r below 10^-2 and 10^-8.

  3. Carrollian bosonic supergravity at order $\alpha'$ and the universal cancellation of higher-curvature divergences

    hep-th 2026-07 conditional novelty 5.0 of 10

    Four-derivative and higher pure-gravitational α' corrections to bosonic supergravity admit a finite Carrollian limit, with an explicit action and a universal finiteness criterion for Riem^N terms.

  4. Fibre Inflation Meets Quintessence: Implications of Perturbative Stabilisation

    hep-th 2025-11 reject novelty 5.0 of 10

    Adding a base-modulus redefinition to fibre inflation in perturbative LVS shifts (ns, r) into ACT-allowed territory and yields an axion quintessence companion.

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