Consistent Kaluza-Klein truncations via exceptional field theory
We present the generalized Scherk-Schwarz reduction ansatz for the full supersymmetric exceptional field theory in terms of group valued twist matrices subject to consistency equations. With this ansatz the field equations precisely reduce to those of lower-dimensional gauged supergravity parametriz...
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| Format: | Article |
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Springer-Verlag
2015
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| Online Access: | http://hdl.handle.net/1721.1/96822 |
| _version_ | 1826196406899048448 |
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| author | Hohm, Olaf Samtleben, Henning |
| author2 | Massachusetts Institute of Technology. Center for Theoretical Physics |
| author_facet | Massachusetts Institute of Technology. Center for Theoretical Physics Hohm, Olaf Samtleben, Henning |
| author_sort | Hohm, Olaf |
| collection | MIT |
| description | We present the generalized Scherk-Schwarz reduction ansatz for the full supersymmetric exceptional field theory in terms of group valued twist matrices subject to consistency equations. With this ansatz the field equations precisely reduce to those of lower-dimensional gauged supergravity parametrized by an embedding tensor. We explicitly construct a family of twist matrices as solutions of the consistency equations. They induce gauged supergravities with gauge groups SO(p, q) and CSO(p, q, r). Geometrically, they describe compactifications on internal spaces given by spheres and (warped) hyperboloides H [superscript p,q], thus extending the applicability of generalized Scherk-Schwarz reductions beyond homogeneous spaces. Together with the dictionary that relates exceptional field theory to D = 11 and IIB supergravity, respectively, the construction defines an entire new family of consistent truncations of the original theories. These include not only compactifications on spheres of different dimensions (such as AdS[subscript 5] × S [superscript 5]), but also various hyperboloid compactifications giving rise to a higher-dimensional embedding of supergravities with non-compact and non-semisimple gauge groups. |
| first_indexed | 2024-09-23T10:26:21Z |
| format | Article |
| id | mit-1721.1/96822 |
| institution | Massachusetts Institute of Technology |
| language | en_US |
| last_indexed | 2024-09-23T10:26:21Z |
| publishDate | 2015 |
| publisher | Springer-Verlag |
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| spelling | mit-1721.1/968222022-09-30T21:06:49Z Consistent Kaluza-Klein truncations via exceptional field theory Hohm, Olaf Samtleben, Henning Massachusetts Institute of Technology. Center for Theoretical Physics Massachusetts Institute of Technology. Laboratory for Nuclear Science Hohm, Olaf We present the generalized Scherk-Schwarz reduction ansatz for the full supersymmetric exceptional field theory in terms of group valued twist matrices subject to consistency equations. With this ansatz the field equations precisely reduce to those of lower-dimensional gauged supergravity parametrized by an embedding tensor. We explicitly construct a family of twist matrices as solutions of the consistency equations. They induce gauged supergravities with gauge groups SO(p, q) and CSO(p, q, r). Geometrically, they describe compactifications on internal spaces given by spheres and (warped) hyperboloides H [superscript p,q], thus extending the applicability of generalized Scherk-Schwarz reductions beyond homogeneous spaces. Together with the dictionary that relates exceptional field theory to D = 11 and IIB supergravity, respectively, the construction defines an entire new family of consistent truncations of the original theories. These include not only compactifications on spheres of different dimensions (such as AdS[subscript 5] × S [superscript 5]), but also various hyperboloid compactifications giving rise to a higher-dimensional embedding of supergravities with non-compact and non-semisimple gauge groups. United States. Dept. of Energy (Cooperative Research Agreement DE-FG02-05ER41360) Deutsche Forschungsgemeinschaft (Heisenberg Fellowship) 2015-04-27T17:56:29Z 2015-04-27T17:56:29Z 2015-01 2014-12 Article http://purl.org/eprint/type/JournalArticle 1029-8479 1126-6708 http://hdl.handle.net/1721.1/96822 Hohm, Olaf, and Henning Samtleben. “Consistent Kaluza-Klein Truncations via Exceptional Field Theory.” J. High Energ. Phys. 2015, no. 1 (January 2015). en_US http://dx.doi.org/10.1007/jhep01(2015)131 Journal of High Energy Physics Creative Commons Attribution http://creativecommons.org/licenses/by/4.0/ application/pdf Springer-Verlag Springer-Verlag |
| spellingShingle | Hohm, Olaf Samtleben, Henning Consistent Kaluza-Klein truncations via exceptional field theory |
| title | Consistent Kaluza-Klein truncations via exceptional field theory |
| title_full | Consistent Kaluza-Klein truncations via exceptional field theory |
| title_fullStr | Consistent Kaluza-Klein truncations via exceptional field theory |
| title_full_unstemmed | Consistent Kaluza-Klein truncations via exceptional field theory |
| title_short | Consistent Kaluza-Klein truncations via exceptional field theory |
| title_sort | consistent kaluza klein truncations via exceptional field theory |
| url | http://hdl.handle.net/1721.1/96822 |
| work_keys_str_mv | AT hohmolaf consistentkaluzakleintruncationsviaexceptionalfieldtheory AT samtlebenhenning consistentkaluzakleintruncationsviaexceptionalfieldtheory |