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• W3176164128 endingPage "2150031" @default.
• W3176164128 startingPage "2150031" @default.
• W3176164128 abstract "We give a covariant realization of the doubled sigma-model formulation of duality-symmetric string theory within the general framework of para-Hermitian geometry. We define a notion of generalized metric on a para-Hermitian manifold and discuss its relation to Born geometry. We show that a Born geometry uniquely defines a worldsheet sigma-model with a para-Hermitian target space, and we describe its Lie algebroid gauging as a means of recovering the conventional sigma-model description of a physical string background as the leaf space of a foliated para-Hermitian manifold. Applying the Kotov–Strobl gauging leads to a generalized notion of T-duality when combined with transformations that act on Born geometries. We obtain a geometric interpretation of the self-duality constraint that halves the degrees of freedom in doubled sigma-models, and we give geometric characterizations of non-geometric string backgrounds in this setting. We illustrate our formalism with detailed worldsheet descriptions of closed string phase spaces, of doubled groups where our notion of generalized T-duality includes non-abelian T-duality, and of doubled nilmanifolds." @default.
• W3176164128 created "2021-07-05" @default.
• W3176164128 creator A5006896283 @default.
• W3176164128 creator A5009790668 @default.
• W3176164128 date "2021-06-18" @default.
• W3176164128 modified "2023-09-24" @default.
• W3176164128 title "Born sigma-models for para-Hermitian manifolds and generalized T-duality" @default.
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