Direct derivation of N $$ \mathcal{N} $$ = 1 supergravity in ten dimensions to all orders in fermions
Abstract It has been known for some time that generalised geometry provides a particularly elegant rewriting of the action and symmetries of 10-dimensional supergravity theories, up to the lowest nontrivial order in fermions. By exhibiting the full symmetry calculations in the second-order formalism...
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SpringerOpen
2025-07-01
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| Series: | Journal of High Energy Physics |
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| Online Access: | https://doi.org/10.1007/JHEP07(2025)114 |
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| author | Julian Kupka Charles Strickland-Constable Fridrich Valach |
| author_facet | Julian Kupka Charles Strickland-Constable Fridrich Valach |
| author_sort | Julian Kupka |
| collection | DOAJ |
| description | Abstract It has been known for some time that generalised geometry provides a particularly elegant rewriting of the action and symmetries of 10-dimensional supergravity theories, up to the lowest nontrivial order in fermions. By exhibiting the full symmetry calculations in the second-order formalism, we show in the N $$ \mathcal{N} $$ = 1 case that this analysis can be upgraded to all orders in fermions and we obtain a strikingly simple form of the action as well as of the supersymmetry transformations, featuring overall only five higher-fermionic terms. Surprisingly, even after expressing the action in terms of classical (non-generalised geometric) variables one obtains a simplification of the usual formulae. This in particular confirms that generalised geometry provides the natural set of variables for studying (the massless level of) string theory. We also show how this new reformulation implies the compatibility of the Poisson-Lie T-duality with the equations of motion of the full supergravity theory. |
| format | Article |
| id | doaj-art-ba26467f67904eceaac1e3adb682830a |
| institution | Kabale University |
| issn | 1029-8479 |
| language | English |
| publishDate | 2025-07-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj-art-ba26467f67904eceaac1e3adb682830a2025-08-20T04:01:43ZengSpringerOpenJournal of High Energy Physics1029-84792025-07-012025712910.1007/JHEP07(2025)114Direct derivation of N $$ \mathcal{N} $$ = 1 supergravity in ten dimensions to all orders in fermionsJulian Kupka0Charles Strickland-Constable1Fridrich Valach2Department of Physics, Astronomy and Mathematics, University of HertfordshireDepartment of Physics, Astronomy and Mathematics, University of HertfordshireDepartment of Physics, Astronomy and Mathematics, University of HertfordshireAbstract It has been known for some time that generalised geometry provides a particularly elegant rewriting of the action and symmetries of 10-dimensional supergravity theories, up to the lowest nontrivial order in fermions. By exhibiting the full symmetry calculations in the second-order formalism, we show in the N $$ \mathcal{N} $$ = 1 case that this analysis can be upgraded to all orders in fermions and we obtain a strikingly simple form of the action as well as of the supersymmetry transformations, featuring overall only five higher-fermionic terms. Surprisingly, even after expressing the action in terms of classical (non-generalised geometric) variables one obtains a simplification of the usual formulae. This in particular confirms that generalised geometry provides the natural set of variables for studying (the massless level of) string theory. We also show how this new reformulation implies the compatibility of the Poisson-Lie T-duality with the equations of motion of the full supergravity theory.https://doi.org/10.1007/JHEP07(2025)114Differential and Algebraic GeometrySupergravity ModelsString Duality |
| spellingShingle | Julian Kupka Charles Strickland-Constable Fridrich Valach Direct derivation of N $$ \mathcal{N} $$ = 1 supergravity in ten dimensions to all orders in fermions Journal of High Energy Physics Differential and Algebraic Geometry Supergravity Models String Duality |
| title | Direct derivation of N $$ \mathcal{N} $$ = 1 supergravity in ten dimensions to all orders in fermions |
| title_full | Direct derivation of N $$ \mathcal{N} $$ = 1 supergravity in ten dimensions to all orders in fermions |
| title_fullStr | Direct derivation of N $$ \mathcal{N} $$ = 1 supergravity in ten dimensions to all orders in fermions |
| title_full_unstemmed | Direct derivation of N $$ \mathcal{N} $$ = 1 supergravity in ten dimensions to all orders in fermions |
| title_short | Direct derivation of N $$ \mathcal{N} $$ = 1 supergravity in ten dimensions to all orders in fermions |
| title_sort | direct derivation of n mathcal n 1 supergravity in ten dimensions to all orders in fermions |
| topic | Differential and Algebraic Geometry Supergravity Models String Duality |
| url | https://doi.org/10.1007/JHEP07(2025)114 |
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