Unraveling the generalized Bergshoeff-de Roo identification

Fuente: arXiv
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Main Authors: Gitsis, Achilleas, Hassler, Falk
Format: Preprint
Published: 2024
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author Gitsis, Achilleas
Hassler, Falk
author_facet Gitsis, Achilleas
Hassler, Falk
contents 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 $α'$-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 ($α'^2$) 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 $β$-functions of the underlying $σ$-model) corrections to generalized dualities, consistent truncations and integrable $σ$-models, we recover the gBdR identification's results from the \PS{} construction that provides a natural notion of torsion and curvature in generalized geometry.
format Preprint
id arxiv_https___arxiv_org_abs_2412_17900
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Unraveling the generalized Bergshoeff-de Roo identification
Gitsis, Achilleas
Hassler, Falk
High Energy Physics - Theory
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 $α'$-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 ($α'^2$) 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 $β$-functions of the underlying $σ$-model) corrections to generalized dualities, consistent truncations and integrable $σ$-models, we recover the gBdR identification's results from the \PS{} construction that provides a natural notion of torsion and curvature in generalized geometry.
title Unraveling the generalized Bergshoeff-de Roo identification
topic High Energy Physics - Theory
url https://arxiv.org/abs/2412.17900