nLab 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

d1,1 2( d1,1) * 5( d1,1) * \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.


Last revised on August 3, 2015 at 12:40:27. See the history of this page for a list of all contributions to it.