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Unraveling the generalized Bergshoeff-de Roo identification

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arxiv 2412.17900 v1 pith:N74TUSJY submitted 2024-12-23 hep-th

classification hep-th
keywords correctionsgeneralizedidentificationactionalphabergshoeff-degbdrhigher-derivative
verification ladder T0 review T1 audit T2 compute T3 formal
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abstract

We revisit duality-covariant higher-derivative corrections which arise from the generalized Bergshoeff-de Roo (gBdR) identification, a prescription that gives rise to a two parameter family of $\alpha'$-corrections to the low-energy effective action of the bosonic and the heterotic string. Although it is able to reproduce all corrections at the leading and sub-leading ($\alpha'^2$) order purely from symmetry considerations, a geometric interpretation, like for the two-derivative action and its gauge transformation is lacking. To address this issue and to pave the way for the future exploration of higher-derivative (=higher-loop for the $\beta$-functions of the underlying $\sigma$-model) corrections to generalized dualities, consistent truncations and integrable $\sigma$-models, we recover the gBdR identification's results from the \PS{} construction that provides a natural notion of torsion and curvature in generalized geometry.

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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. Generalized Bergshoeff-de Roo identification in the Supergravity frame

    hep-th 2026-07 conditional novelty 6.0 of 10

    A new parametrization of the O(D,D+k) vielbein makes the generalized Bergshoeff–de Roo identification work directly in the supergravity frame, giving an all-order action whose O(α′^2) part has only three couplings.

  3. Gauged Extended Field Theory and Generalised Cartan Geometry

    hep-th 2025-09 conditional novelty 6.0 of 10

    A systematic Cartan-geometric construction of linearised torsion and curvature hierarchies for generalised geometries with global duality group G and local gauge group H, realised via brane current algebras.

  4. Mega-Space Current Algebra and Green-Schwarz Geometry in Heterotic String Theory

    hep-th 2026-07 conditional novelty 5.0 of 10

    A Poláček-Siegel mega-space current algebra with Lorentz and heterotic gauge sectors embeds Chern-Simons structures and yields a Green-Schwarz-like Bianchi identity from Jacobi identities, without the α′ tr(R∧R) term.

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