Exploring the β symmetry of supergravity
Abstract 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 β, are not inherited from the symmetries of the higher-dimensional theory, but constitute instead a symmetry enhanceme...
| Main Authors: | , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
SpringerOpen
2023-12-01
|
| Series: | Journal of High Energy Physics |
| Subjects: | |
| Online Access: | https://doi.org/10.1007/JHEP12(2023)006 |
| _version_ | 1797233808557211648 |
|---|---|
| author | Walter H. Baron Diego Marqués Carmen A. Núñez |
| author_facet | Walter H. Baron Diego Marqués Carmen A. Núñez |
| author_sort | Walter H. Baron |
| collection | DOAJ |
| description | Abstract 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 β, 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 β 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 α′-corrections. We derive the β 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 β symmetry is a necessary condition for the uplift of string α′-expansions to DFT. |
| first_indexed | 2024-03-09T06:00:56Z |
| format | Article |
| id | doaj.art-1bc7bde5406140868dc83ccfb0417448 |
| institution | Directory Open Access Journal |
| issn | 1029-8479 |
| language | English |
| last_indexed | 2024-04-24T16:22:03Z |
| publishDate | 2023-12-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj.art-1bc7bde5406140868dc83ccfb04174482024-03-31T11:08:03ZengSpringerOpenJournal of High Energy Physics1029-84792023-12-0120231213110.1007/JHEP12(2023)006Exploring the β symmetry of supergravityWalter H. Baron0Diego Marqués1Carmen A. Núñez2Instituto de Física de La Plata, (CONICET-UNLP), Departamento de Matemática, Universidad Nacional de La PlataInstituto de Astronomía y Física del Espacio, (CONICET-UBA), Ciudad Universitaria, Pabellón IAFE, CABAInstituto de Astronomía y Física del Espacio, (CONICET-UBA), Ciudad Universitaria, Pabellón IAFE, CABAAbstract 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 β, 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 β 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 α′-corrections. We derive the β 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 β symmetry is a necessary condition for the uplift of string α′-expansions to DFT.https://doi.org/10.1007/JHEP12(2023)006Field Theories in Higher DimensionsGlobal SymmetriesString Duality |
| spellingShingle | Walter H. Baron Diego Marqués Carmen A. Núñez Exploring the β symmetry of supergravity Journal of High Energy Physics Field Theories in Higher Dimensions Global Symmetries String Duality |
| title | Exploring the β symmetry of supergravity |
| title_full | Exploring the β symmetry of supergravity |
| title_fullStr | Exploring the β symmetry of supergravity |
| title_full_unstemmed | Exploring the β symmetry of supergravity |
| title_short | Exploring the β symmetry of supergravity |
| title_sort | exploring the β symmetry of supergravity |
| topic | Field Theories in Higher Dimensions Global Symmetries String Duality |
| url | https://doi.org/10.1007/JHEP12(2023)006 |
| work_keys_str_mv | AT walterhbaron exploringthebsymmetryofsupergravity AT diegomarques exploringthebsymmetryofsupergravity AT carmenanunez exploringthebsymmetryofsupergravity |