E$_9$ exceptional field theory I. The potential
High Energy Physics - Theory
2019-03-27 v1
Abstract
We construct the scalar potential for the exceptional field theory based on the affine symmetry group E. The fields appearing in this potential live formally on an infinite-dimensional extended spacetime and transform under E generalised diffeomorphisms. In addition to the scalar fields expected from D=2 maximal supergravity, the invariance of the potential requires the introduction of new constrained scalar fields. Other essential ingredients in the construction include the Virasoro algebra and indecomposable representations of E. Upon solving the section constraint, the potential reproduces the dynamics of either eleven-dimensional or type IIB supergravity in the presence of two isometries.
Cite
@article{arxiv.1811.04088,
title = {E$_9$ exceptional field theory I. The potential},
author = {Guillaume Bossard and Franz Ciceri and Gianluca Inverso and Axel Kleinschmidt and Henning Samtleben},
journal= {arXiv preprint arXiv:1811.04088},
year = {2019}
}
Comments
61 pages