We found a match
Your institution may have access to this item. Find your institution then sign in to continue.
- Title
Exceptional Algebroids and Type IIB Superstrings.
- Authors
Bugden, Mark; Hulík, Ondřej; Valach, Fridrich; Waldram, Daniel
- Abstract
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 En(n)×R+$\mathsf {E}_{n(n)}\times \mathbb {R}^+$, for n≤6$n\le 6$) locally has a standard form given by the exceptional tangent bundle. We derive possible twists, given by a flat gl(2,R)$\mathfrak {gl}(2,\mathbb {R})$‐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. In this note the authors study exceptional algebroids, focusing on their relation to type IIB superstring theory. It is shown that a IIB‐exact exceptional algebroid (corresponding to the group En(n) × R+, for n ≤ 6) locally has a standard form given by the exceptional tangent bundle. Possible twists, a covariantly closed pair of 3‐forms, and a 5‐form are derived and commented on their physical interpretation. Using this analysis, the search for Leibniz parallelisable spaces, and hence maximally supersymmetric consistent truncations, is reduced to a simple algebraic problem. It is shown that the exceptional algebroid perspective also gives a simple description of Poisson–Lie U‐duality without spectators and hence of generalised Yang–Baxter deformations.
- Subjects
ALGEBROIDS; SUPERSTRING theories; TANGENT bundles
- Publication
Fortschritte der Physik / Progress of Physics, 2022, Vol 70, Issue 1, p1
- ISSN
0015-8208
- Publication type
Article
- DOI
10.1002/prop.202100104