exceptional structures, exceptional isomorphisms
exceptional finite rotation groups:
and Kac-Moody groups:
In the context of supergravity and string theory, the term exceptional field theory has come to be used for formulations of 11-dimensional supergravity which make the (exceptional, whence the name) U-duality symmetry group structure manifest. This is in generalization of the “double field theory” formulation of 10d type II supergravity which makes (only) the T-duality symmetry manifest.
Accordingly, exceptional field theory is related to exceptional generalized geometry as double field theory is related to generalized complex geometry.
A spacetime in exceptional field theory is locally modeled on the Cartesian product of a $d$-dimensional Cartesian space with the fundamental representation vector space of a form of the exceptional Lie group $E_{11-d}$. Fields on this spacetime are subject to satisfy a certain differential equation derived from an invariant form of the representation and one considers a generalized isometry algebra on this space which fails the Jacobi identity by a term proportional to this contraint (e.g. Baguet-Hohm-Samtleben 15, section 2).
Precursors include
The original articles are
Olaf Hohm, Henning Samtleben, Exceptional Form of $D=11$ Supergravity, Phys. Rev. Lett. 111, 231601 (2013) (arXiv:1308.1673)
Olaf Hohm, Henning Samtleben, Exceptional Field Theory I: $E_{6(6)}$ covariant Form of M-Theory and Type IIB, Phys. Rev. D 89, 066016 (2014) (arXiv:1312.0614)
Olaf Hohm, Henning Samtleben, Exceptional Field Theory II: $E_{7(7)}$, Phys. Rev. D 89, 066017 (2014) (arXiv:1312.4542)
Olaf Hohm, Henning Samtleben, Exceptional Field Theory III: $E_{8(8)}$, Phys. Rev. D 90, 066002 (2014) (arXiv:1406.3348)
Review for KK-compactification to 5d supergravity, hence for E6-U-duality, includes
Discussion of solitonic black brane solutions in terms of EFT includes
Discussion for E11 includes
Generalization to exceptional super-spacetimes:
Last revised on May 14, 2019 at 00:54:01. See the history of this page for a list of all contributions to it.