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The $\beta$-symmetry of supergravity

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arxiv 2209.02079 v1 pith:IF6A374L submitted 2022-09-05 hep-th

Walter H. Baron , Diego Marques , Carmen A. Nunez This is my paper · ORCID
classification hep-th
keywords betasymmetrydimensionalactionalphabosonicclosurecontinuous
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abstract

Continuous O$(d,d)$ global symmetries emerge in Kaluza-Klein reductions of $D$-dimensional string supergravities to $D-d$ dimensions. We show that the non-geometric elements of this group effectively act in the $D$-dimensional parent theory as a hidden bosonic symmetry that fixes its couplings: the $\beta$-symmetry. We give the explicit $\beta$-transformations to first order in $\alpha'$ and verify the invariance of the action as well as the closure of the transformation rules.

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

    hep-th 2024-11 conditional novelty 7.0 of 10

    At order alpha'^3, the field redefinitions that reveal O(d,d) symmetry after dimensional reduction cannot be lifted to ten dimensions, contradicting manifestly T-duality-invariant formulations of string theory.

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