Infinite and finite consistent truncations on deformed generalised parallelisations
Fuente:
arXiv
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| Autori principali: | , , |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| _version_ | 1866908049184129024 |
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| author | Blair, Chris D. A. Pico, Martin Varela, Oscar |
| author_facet | Blair, Chris D. A. Pico, Martin Varela, Oscar |
| contents | Given a manifold $\mathbb{M}$ admitting a maximally supersymmetric consistent truncation, we show how to formulate new consistent truncations by restricting to a set of Kaluza-Klein modes on $\mathbb{M}$ invariant under some subgroup of the group of isometries of $\mathbb{M}$. 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 $\mathbb{M}$. 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 | Preprint |
| id |
arxiv_https___arxiv_org_abs_2407_01298 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Infinite and finite consistent truncations on deformed generalised parallelisations Blair, Chris D. A. Pico, Martin Varela, Oscar High Energy Physics - Theory Given a manifold $\mathbb{M}$ admitting a maximally supersymmetric consistent truncation, we show how to formulate new consistent truncations by restricting to a set of Kaluza-Klein modes on $\mathbb{M}$ invariant under some subgroup of the group of isometries of $\mathbb{M}$. 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 $\mathbb{M}$. 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. |
| title | Infinite and finite consistent truncations on deformed generalised parallelisations |
| topic | High Energy Physics - Theory |
| url | https://arxiv.org/abs/2407.01298 |