Unraveling the generalized Bergshoeff-de Roo identification

Dec 23, 2024
35 pages
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Abstract: (arXiv)
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\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 (α2\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 β\beta-functions of the underlying σ\sigma-model) corrections to generalized dualities, consistent truncations and integrable σ\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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  • 35 pages