exceptional tangent bundle

A generalization of the notion of *tangent bundle* in *exceptional generalized geometry*.

For 11-dimensional supergravity the bosonic body of its typical fiber is

$\mathbb{R}^{d-1,1} \oplus \wedge^2 (\mathbb{R}^{d-1,1})^\ast
\oplus \wedge^5 (\mathbb{R}^{d-1,1})^\ast$

where the second summand corresponds to M2-brane charges and the third to M5-brane charges.

This happens to coincide with the bosonic body of the M-theory super Lie algebra, see there for more.

(…)

Revised on August 3, 2015 08:40:27
by Urs Schreiber
(147.231.89.193)