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| Main Authors: | , |
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| Format: | Preprint |
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2025
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| Online Access: | https://arxiv.org/abs/2510.12799 |
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| _version_ | 1866909846265135104 |
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| author | Hassler, Falk Sakatani, Yuho |
| author_facet | Hassler, Falk Sakatani, Yuho |
| contents | We present a systematic framework for constructing consistent truncations of supergravity based on exceptional generalized cosets of the form $\GS \backslash G/H$. This approach generalizes the well-established generalized Scherk-Schwarz reductions on generalized parallelizable spaces $G/H$, which preserve maximal supersymmetry, to scenarios with reduced supersymmetry by introducing a non-trivial generalized structure group $\GS$. The double coset structure plays two distinct roles: for a given $G$, the choice of subgroup $\GS$ determines the (constant) generalized torsion/curvature and the pattern of supersymmetry breaking, while $H$ parameterizes inequivalent supergravity backgrounds that share the same truncated theory. The entire construction proceeds algebraically, systematically building $\GS$-invariant tensors from generalized frame fields, with the intrinsic torsion automatically constant and a $\GS$-singlet. Different choices of $H$ lead to distinct higher-dimensional backgrounds that truncate to the same lower-dimensional theory, thereby realizing U-duality. We illustrate the framework through explicit examples in double field theory and exceptional field theory. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2510_12799 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Consistent truncation and generalized duality based on exceptional generalized cosets Hassler, Falk Sakatani, Yuho High Energy Physics - Theory We present a systematic framework for constructing consistent truncations of supergravity based on exceptional generalized cosets of the form $\GS \backslash G/H$. This approach generalizes the well-established generalized Scherk-Schwarz reductions on generalized parallelizable spaces $G/H$, which preserve maximal supersymmetry, to scenarios with reduced supersymmetry by introducing a non-trivial generalized structure group $\GS$. The double coset structure plays two distinct roles: for a given $G$, the choice of subgroup $\GS$ determines the (constant) generalized torsion/curvature and the pattern of supersymmetry breaking, while $H$ parameterizes inequivalent supergravity backgrounds that share the same truncated theory. The entire construction proceeds algebraically, systematically building $\GS$-invariant tensors from generalized frame fields, with the intrinsic torsion automatically constant and a $\GS$-singlet. Different choices of $H$ lead to distinct higher-dimensional backgrounds that truncate to the same lower-dimensional theory, thereby realizing U-duality. We illustrate the framework through explicit examples in double field theory and exceptional field theory. |
| title | Consistent truncation and generalized duality based on exceptional generalized cosets |
| topic | High Energy Physics - Theory |
| url | https://arxiv.org/abs/2510.12799 |