Exploring the $\beta$ symmetry of supergravity
| Autor: | Baron, Walter H., Marques, Diego, Nunez, Carmen A. |
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| Rok vydání: | 2023 |
| Předmět: | |
| Druh dokumentu: | Working Paper |
| Popis: | Kaluza-Klein reductions of low energy string effective actions possess a continuous $O(d,d) $ symmetry. The non-geometric elements of this group, parameterized by a bi-vector $\beta$, are not inherited from the symmetries of the higher-dimensional theory, but constitute instead a symmetry enhancement produced by the isometries of the background. The realization of this enhancement in the parent theory was recently defined as $\beta$ symmetry, a powerful tool that allows to avoid the field reparameterizations of the Kaluza-Klein procedure. In this paper we further explore this symmetry and its impact on the first order $\alpha'$-corrections. We derive the $\beta$ transformation rules from the frame formulation of Double Field Theory (DFT), and connect them to the corresponding rules in the Metsaev-Tseytlin and Bergshoeff-de Roo supergravity schemes. It follows from our results that $\beta$ symmetry is a necessary condition for the uplift of string $\alpha'$-expansions to DFT. Comment: 28 pages. v2 published in JHEP |
| Databáze: | arXiv |
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