Exceptional Algebroids and Type IIB Superstrings

Mark Bugden, Ondřej Hulík, Fridrich Valach, Daniel Waldram

Research output: Contribution to journalArticlepeer-review


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 (Formula presented.), for (Formula presented.)) locally has a standard form given by the exceptional tangent bundle. We derive possible twists, given by a flat (Formula presented.) -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.

Original languageEnglish
Article number2100104
JournalFortschritte der Physik
Issue number1
Publication statusPublished - Jan 2022


Dive into the research topics of 'Exceptional Algebroids and Type IIB Superstrings'. Together they form a unique fingerprint.

Cite this