Born Geometry in a Nutshell
arXiv:1904.06989
Abstract
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.
11 pages, Submitted as proceedings for the 2018 conference "School and Workshops on Elementary Particle Physics and Gravity" held at the Corfu Summer Institute