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• W3099166888 abstract "Generalised diffeomorphisms in double field theory rely on an O(d, d) structure defined on tangent space. We show that any (pseudo-)Riemannian metric on the doubled space defines such a structure, in the sense that the generalised diffeomorphisms defined using such a metric form an algebra, provided a covariant section condition is fulfilled. Consistent solutions of the section condition gives further restrictions. The case previously considered corresponds to a flat metric. The construction makes it possible to apply double geometry to a larger class of manifolds. Examples of curved defining metrics are given. We also comment on the rôle of the defining geometry for the symmetries of double field theory, and on the continuation of the present construction to the U-duality setting." @default.
• W3099166888 created "2020-11-23" @default.
• W3099166888 creator A5031319883 @default.
• W3099166888 date "2014-09-01" @default.
• W3099166888 modified "2023-10-18" @default.
• W3099166888 title "The geometry behind double geometry" @default.
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• W3099166888 doi "https://doi.org/10.1007/jhep09(2014)070" @default.
• W3099166888 hasPublicationYear "2014" @default.
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