An E11 invariant gauge fixing

Abstract

We consider the non-linear realisation of the semi-direct product of E11 and its vector representation which leads to a spacetime with tangent group that is the Cartan involution invariant subalgera of E11. We give an alternative derivation of the invariant tangent space metric that this space-time possesses and compute this metric at low levels in eleven, five and four dimensions. We show that one can gauge fix the non-linear realisation in an E11 invariant manner.

29 pages

References in corpus (6)

• E11 in 11D
• E11 must be a symmetry of strings and branes
• A brief review of E theory
• Generalised Space-time and Gauge Transformations
• Generalised vielbeins and non-linear realisations
• E11 and exceptional field theory

Cited by in corpus (5)

• Irreducible representations of E theory
• Gravity, Dual Gravity and A1+++
• The massless irreducible representation in E theory and how bosons can appear as spinors
• Spacetime and large local transformations
• Higher dualisations of linearised gravity and the $A_1^{+++}$ algebra