Publication at Faculty of Mathematics and Physics |
2021
Abstract
We introduce the notion of G-algebroid, generalising both Lie and Courant algebroids, as well as the algebroids used in En(n)xR+ exceptional generalised geometry for n is an element of{3,MIDLINE HORIZONTAL ELLIPSIS,6}. Focusing on the exceptional case, we prove a classification of "exact" algebroids and translate the related classification of Leibniz parallelisable spaces into a tractable algebraic problem.
After discussing the general notion of Poisson-Lie duality, we show that the Poisson-Lie U-duality is compatible with the equations of motion of supergravity.