nLab
exceptional field theory

Contents

Context

Exceptional structures

String theory

Contents

Idea

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 dd-dimensional Cartesian space with the fundamental representation vector space of a form of the exceptional Lie group E 11dE_{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).

References

Precursors include

The original articles are

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.