Born Geometry in a Nutshell
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.
Cite
@article{arxiv.1904.06989,
title = {Born Geometry in a Nutshell},
author = {David Svoboda and Felix J. Rudolph},
journal= {arXiv preprint arXiv:1904.06989},
year = {2019}
}
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