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arXiv:1904.06989 [hep-th]AbstractReferencesReviewsResources

Born Geometry in a Nutshell

David Svoboda, Felix J. Rudolph

Published 2019-04-15Version 1

We give a concise summary of the para-Hermitian geometry that describes a doubled target space fit for a covariant description of T-duality in string theory. This provides a generalized differentiable structure on the doubled space and leads to a kinematical setup which allows for the recovery of the physical spacetime. The picture can be enhanced to a Born geometry by including dynamical structures such as a generalized metric and fluxes which are related to the physical background fields in string theory. We then discuss a generalization of the Levi-Civita connection in this setting - the Born connection - and twisting of the kinematical structure in the presence of fluxes.

Comments: 11 pages, Submitted as proceedings for the 2018 conference "School and Workshops on Elementary Particle Physics and Gravity" held at the Corfu Summer Institute
Categories: hep-th, math.DG
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