English

Gravity, Dual Gravity and A1+++

High Energy Physics - Theory 2020-06-10 v1

Abstract

We construct the non-linear realisation of the semi-direct product of the very extended algebra A1+++ and its vector representation. This theory has an infinite number of fields that depend on a spacetime with an infinite number of coordinates. Discarding all except the lowest level field and coordinates the dynamics is just Einstein's equation for the graviton field. We show that the gravity field is related to the dual graviton field by a duality relation and we also derive the equation of motion for the dual gravity field.

Keywords

Cite

@article{arxiv.2004.03363,
  title  = {Gravity, Dual Gravity and A1+++},
  author = {Keith Glennon and Peter West},
  journal= {arXiv preprint arXiv:2004.03363},
  year   = {2020}
}

Comments

27 pages

R2 v1 2026-06-23T14:42:47.307Z