Maximal supergravity in three dimensions: supergeometry and differential forms

Abstract

The maximal supergravity theory in three dimensions, which has local SO(16) and rigid $E_8$ symmetries, is discussed in a superspace setting starting from an off-shell superconformal structure. The on-shell theory is obtained by imposing further constraints. It is essentially a non-linear sigma model that induces a Poincaré supergeometry that is described in detail. The possible $p$-form field strengths, for $p=2,3,4$, are explicitly constructed using supersymmetry and $E_8$. The gauged theory is also discussed.

27 pages. Small changes to the text; added references

References in corpus (5)

• The E_{11} origin of all maximal supergravities
• E(11) and the Embedding Tensor
• On duality symmetries of supergravity invariants
• The E(11) origin of all maximal supergravities - the hierarchy of field-strengths
• A Note on E11 and Three-dimensional Gauged Supergravity