Swampland geometry and the gauge couplings
Abstract The purpose of this paper is two-fold. First we review in detail the geometric aspects of the swampland program for supersymmetric 4d effective theories using a new and unifying language we dub “domestic geometry”, the generalization of special Kähler geometry which does not require the und...
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| Format: | Article |
| Language: | English |
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SpringerOpen
2021-09-01
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| Series: | Journal of High Energy Physics |
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| Online Access: | https://doi.org/10.1007/JHEP09(2021)136 |
| _version_ | 1819135793629757440 |
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| author | Sergio Cecotti |
| author_facet | Sergio Cecotti |
| author_sort | Sergio Cecotti |
| collection | DOAJ |
| description | Abstract The purpose of this paper is two-fold. First we review in detail the geometric aspects of the swampland program for supersymmetric 4d effective theories using a new and unifying language we dub “domestic geometry”, the generalization of special Kähler geometry which does not require the underlying manifold to be Kähler or have a complex structure. All 4d SUGRAs are described by domestic geometry. As special Kähler geometries, domestic geometries carry formal brane amplitudes: when the domestic geometry describes the supersymmetric low-energy limit of a consistent quantum theory of gravity, its formal brane amplitudes have the right properties to be actual branes. The main datum of the domestic geometry of a 4d SUGRA is its gauge coupling, seen as a map from a manifold which satisfies the geometric Ooguri-Vafa conjectures to the Siegel variety; to understand the properties of the quantum-consistent gauge couplings we discuss several novel aspects of such “Ooguri-Vafa” manifolds, including their Liouville properties. Our second goal is to present some novel speculation on the extension of the swampland program to non-supersymmetric effective theories of gravity. The idea is that the domestic geometric description of the quantum-consistent effective theories extends, possibly with some qualifications, also to the non-supersymmetric case. |
| first_indexed | 2024-12-22T10:24:44Z |
| format | Article |
| id | doaj.art-62cd217c95944dbb95dde8d3a68f81ca |
| institution | Directory Open Access Journal |
| issn | 1029-8479 |
| language | English |
| last_indexed | 2024-12-22T10:24:44Z |
| publishDate | 2021-09-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj.art-62cd217c95944dbb95dde8d3a68f81ca2022-12-21T18:29:31ZengSpringerOpenJournal of High Energy Physics1029-84792021-09-012021917310.1007/JHEP09(2021)136Swampland geometry and the gauge couplingsSergio Cecotti0SISSAAbstract The purpose of this paper is two-fold. First we review in detail the geometric aspects of the swampland program for supersymmetric 4d effective theories using a new and unifying language we dub “domestic geometry”, the generalization of special Kähler geometry which does not require the underlying manifold to be Kähler or have a complex structure. All 4d SUGRAs are described by domestic geometry. As special Kähler geometries, domestic geometries carry formal brane amplitudes: when the domestic geometry describes the supersymmetric low-energy limit of a consistent quantum theory of gravity, its formal brane amplitudes have the right properties to be actual branes. The main datum of the domestic geometry of a 4d SUGRA is its gauge coupling, seen as a map from a manifold which satisfies the geometric Ooguri-Vafa conjectures to the Siegel variety; to understand the properties of the quantum-consistent gauge couplings we discuss several novel aspects of such “Ooguri-Vafa” manifolds, including their Liouville properties. Our second goal is to present some novel speculation on the extension of the swampland program to non-supersymmetric effective theories of gravity. The idea is that the domestic geometric description of the quantum-consistent effective theories extends, possibly with some qualifications, also to the non-supersymmetric case.https://doi.org/10.1007/JHEP09(2021)136Differential and Algebraic GeometrySupergravity ModelsModels of Quantum Gravity |
| spellingShingle | Sergio Cecotti Swampland geometry and the gauge couplings Journal of High Energy Physics Differential and Algebraic Geometry Supergravity Models Models of Quantum Gravity |
| title | Swampland geometry and the gauge couplings |
| title_full | Swampland geometry and the gauge couplings |
| title_fullStr | Swampland geometry and the gauge couplings |
| title_full_unstemmed | Swampland geometry and the gauge couplings |
| title_short | Swampland geometry and the gauge couplings |
| title_sort | swampland geometry and the gauge couplings |
| topic | Differential and Algebraic Geometry Supergravity Models Models of Quantum Gravity |
| url | https://doi.org/10.1007/JHEP09(2021)136 |
| work_keys_str_mv | AT sergiocecotti swamplandgeometryandthegaugecouplings |