Infinite and finite consistent truncations on deformed generalised parallelisations
Abstract Given a manifold M $$ \mathbbm{M} $$ admitting a maximally supersymmetric consistent truncation, we show how to formulate new consistent truncations by restricting to a set of Kaluza-Klein modes on M $$ \mathbbm{M} $$ invariant under some subgroup of the group of isometries of M $$ \mathbbm...
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| Format: | Article |
| Language: | English |
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SpringerOpen
2024-09-01
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| Series: | Journal of High Energy Physics |
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| Online Access: | https://doi.org/10.1007/JHEP09(2024)065 |
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| author | Chris D. A. Blair Martín Pico Oscar Varela |
| author_facet | Chris D. A. Blair Martín Pico Oscar Varela |
| author_sort | Chris D. A. Blair |
| collection | DOAJ |
| description | Abstract Given a manifold M $$ \mathbbm{M} $$ admitting a maximally supersymmetric consistent truncation, we show how to formulate new consistent truncations by restricting to a set of Kaluza-Klein modes on M $$ \mathbbm{M} $$ invariant under some subgroup of the group of isometries of M $$ \mathbbm{M} $$ . These truncations may involve either finite or infinite sets of modes. We provide their global description using exceptional generalised geometry to construct a ‘deformed’ generalised parallelisation starting with that on M $$ \mathbbm{M} $$ . This allows us to explicitly embed known consistent truncations directly into exceptional generalised geometry/exceptional field theory, and to obtain the equations governing situations where the consistent truncation retains an infinite tower of modes. |
| format | Article |
| id | doaj-art-71f767bb447c4a94ae18e240da4554f2 |
| institution | OA Journals |
| issn | 1029-8479 |
| language | English |
| publishDate | 2024-09-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj-art-71f767bb447c4a94ae18e240da4554f22025-08-20T02:20:42ZengSpringerOpenJournal of High Energy Physics1029-84792024-09-012024914110.1007/JHEP09(2024)065Infinite and finite consistent truncations on deformed generalised parallelisationsChris D. A. Blair0Martín Pico1Oscar Varela2Instituto de Física Teórica UAM/CSICInstituto de Física Teórica UAM/CSICInstituto de Física Teórica UAM/CSICAbstract Given a manifold M $$ \mathbbm{M} $$ admitting a maximally supersymmetric consistent truncation, we show how to formulate new consistent truncations by restricting to a set of Kaluza-Klein modes on M $$ \mathbbm{M} $$ invariant under some subgroup of the group of isometries of M $$ \mathbbm{M} $$ . These truncations may involve either finite or infinite sets of modes. We provide their global description using exceptional generalised geometry to construct a ‘deformed’ generalised parallelisation starting with that on M $$ \mathbbm{M} $$ . This allows us to explicitly embed known consistent truncations directly into exceptional generalised geometry/exceptional field theory, and to obtain the equations governing situations where the consistent truncation retains an infinite tower of modes.https://doi.org/10.1007/JHEP09(2024)065Supergravity ModelsM-TheorySpace-Time Symmetries |
| spellingShingle | Chris D. A. Blair Martín Pico Oscar Varela Infinite and finite consistent truncations on deformed generalised parallelisations Journal of High Energy Physics Supergravity Models M-Theory Space-Time Symmetries |
| title | Infinite and finite consistent truncations on deformed generalised parallelisations |
| title_full | Infinite and finite consistent truncations on deformed generalised parallelisations |
| title_fullStr | Infinite and finite consistent truncations on deformed generalised parallelisations |
| title_full_unstemmed | Infinite and finite consistent truncations on deformed generalised parallelisations |
| title_short | Infinite and finite consistent truncations on deformed generalised parallelisations |
| title_sort | infinite and finite consistent truncations on deformed generalised parallelisations |
| topic | Supergravity Models M-Theory Space-Time Symmetries |
| url | https://doi.org/10.1007/JHEP09(2024)065 |
| work_keys_str_mv | AT chrisdablair infiniteandfiniteconsistenttruncationsondeformedgeneralisedparallelisations AT martinpico infiniteandfiniteconsistenttruncationsondeformedgeneralisedparallelisations AT oscarvarela infiniteandfiniteconsistenttruncationsondeformedgeneralisedparallelisations |