## Özet

Non-Abelian T-duality (NATD) is a solution generating transformation for supergravity backgrounds with non-Abelian isometries. We show that NATD can be de-scribed as a coordinate dependent O(d,d) transformation, where the dependence on the coordinates is determined by the structure constants of the Lie algebra associated with the isometry group. Besides making calculations significantly easier, this approach gives a natural embedding of NATD in Double Field Theory (DFT), a framework which provides an O(d,d) covariant formulation for effective string actions. As a result of this embedding, it becomes easy to prove that the NATD transformed backgrounds solve supergravity equations, when the isometry algebra is unimodular. If the isometry algebra is non-unimodular, the generalized dilaton field is forced to have a linear dependence on the dual coordinates, which implies that the resulting background solves generalized supergravity equations.

Orijinal dil | İngilizce |
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Makale numarası | 115 |

Dergi | Journal of High Energy Physics |

Hacim | 2019 |

Basın numarası | 8 |

DOI'lar | |

Yayın durumu | Yayınlandı - 1 Ağu 2019 |

### Bibliyografik not

Publisher Copyright:© 2019, The Author(s).

### Finansman

This article is distributed under the terms of the Creative Commons Attribution License (CC-BY 4.0), which permits any use, distribution and reproduction in any medium, provided the original author(s) and source are credited

Finansörler | Finansör numarası |
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Creative Commons Attribution License |