Exceptional algebroids and type IIB superstrings

In this note we study exceptional algebroids, focusing on their relation to type IIB superstring theory. We show that a IIB-exact exceptional algebroid (corresponding to the group $E_{n\left(n\right)}$$\times$$R^{+}$, for n $\le$ 6) locally has a standard form given by the exceptional tangent bundle. We derive possible twists, given by a flat $gl$ (2 , $R$)-connection, a covariantly closed pair of 3-forms, and a 5-form, and comment on their physical interpretation. Using this analysis we reduce the search for Leibniz parallelisable spaces, and hence maximally supersymmetric consistent truncations, to a simple algebraic problem. We show that the exceptional algebroid perspective also gives a simple description of Poisson-Lie U-duality without spectators and hence of generalised Yang-Baxter deformations. (© 2021 The Authors. Fortschritte der Physik published by Wiley‐VCH GmbH)