Generalised Scherk-Schwarz reductions from gauged supergravity
Abstract A procedure is described to construct generalised Scherk-Schwarz uplifts of gauged supergravities. The internal manifold, fluxes, and consistent truncation Ansatz are all derived from the embedding tensor of the lower-dimensional theory. We first describe the procedure to construct generali...
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| Format: | Article |
| Language: | English |
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SpringerOpen
2017-12-01
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| Series: | Journal of High Energy Physics |
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| Online Access: | http://link.springer.com/article/10.1007/JHEP12(2017)124 |
| _version_ | 1818956962036973568 |
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| author | Gianluca Inverso |
| author_facet | Gianluca Inverso |
| author_sort | Gianluca Inverso |
| collection | DOAJ |
| description | Abstract A procedure is described to construct generalised Scherk-Schwarz uplifts of gauged supergravities. The internal manifold, fluxes, and consistent truncation Ansatz are all derived from the embedding tensor of the lower-dimensional theory. We first describe the procedure to construct generalised Leibniz parallelisable spaces where the vector components of the frame are embedded in the adjoint representation of the gauge group, as specified by the embedding tensor. This allows us to recover the generalised Scherk-Schwarz reductions known in the literature and to prove a no-go result for the uplift of ω-deformed SO(p, q) gauged maximal supergravities. We then extend the construction to arbitrary generalised Leibniz parallelisable spaces, which turn out to be torus fibrations over manifolds in the class above. |
| first_indexed | 2024-12-20T11:02:17Z |
| format | Article |
| id | doaj.art-ab81633dfe9f4bee8d233a0859add58a |
| institution | Directory Open Access Journal |
| issn | 1029-8479 |
| language | English |
| last_indexed | 2024-12-20T11:02:17Z |
| publishDate | 2017-12-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj.art-ab81633dfe9f4bee8d233a0859add58a2022-12-21T19:43:00ZengSpringerOpenJournal of High Energy Physics1029-84792017-12-0120171213410.1007/JHEP12(2017)124Generalised Scherk-Schwarz reductions from gauged supergravityGianluca Inverso0Center for Mathematical Analysis, Geometry and Dynamical Systems, Department of Mathematics, Instituto Superior Técnico, Universidade de LisboaAbstract A procedure is described to construct generalised Scherk-Schwarz uplifts of gauged supergravities. The internal manifold, fluxes, and consistent truncation Ansatz are all derived from the embedding tensor of the lower-dimensional theory. We first describe the procedure to construct generalised Leibniz parallelisable spaces where the vector components of the frame are embedded in the adjoint representation of the gauge group, as specified by the embedding tensor. This allows us to recover the generalised Scherk-Schwarz reductions known in the literature and to prove a no-go result for the uplift of ω-deformed SO(p, q) gauged maximal supergravities. We then extend the construction to arbitrary generalised Leibniz parallelisable spaces, which turn out to be torus fibrations over manifolds in the class above.http://link.springer.com/article/10.1007/JHEP12(2017)124Differential and Algebraic GeometryFlux compactificationsString DualitySupergravity Models |
| spellingShingle | Gianluca Inverso Generalised Scherk-Schwarz reductions from gauged supergravity Journal of High Energy Physics Differential and Algebraic Geometry Flux compactifications String Duality Supergravity Models |
| title | Generalised Scherk-Schwarz reductions from gauged supergravity |
| title_full | Generalised Scherk-Schwarz reductions from gauged supergravity |
| title_fullStr | Generalised Scherk-Schwarz reductions from gauged supergravity |
| title_full_unstemmed | Generalised Scherk-Schwarz reductions from gauged supergravity |
| title_short | Generalised Scherk-Schwarz reductions from gauged supergravity |
| title_sort | generalised scherk schwarz reductions from gauged supergravity |
| topic | Differential and Algebraic Geometry Flux compactifications String Duality Supergravity Models |
| url | http://link.springer.com/article/10.1007/JHEP12(2017)124 |
| work_keys_str_mv | AT gianlucainverso generalisedscherkschwarzreductionsfromgaugedsupergravity |