Gravity, Dual Gravity and A1+++

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.

27 pages

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Cited by in corpus (4)

• A master exceptional field theory
• The massless irreducible representation in E theory and how bosons can appear as spinors
• Higher dualisations of linearised gravity and the $A_1^{+++}$ algebra
• Unfolding $E_{11}$