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 (20)

• E_11 and M Theory
• Dualisation of Dualities, I
• Maximal gauged supergravity in three dimensions
• Dualisation of Dualities, II: Twisted self-duality of doubled fields and superdualities
• Compact and Noncompact Gauged Maximal Supergravities in Three Dimensions
• The E_{11} origin of all maximal supergravities
• (N,p,q) Harmonic Superspace
• E(11) and the Embedding Tensor
• New supergravities with central charges and Killing spinors in 2+1 dimensions
• Off-shell supergravity-matter couplings in three dimensions
• On duality symmetries of supergravity invariants
• Borcherds symmetries in M-theory
• E10 and SO(9,9) invariant supergravity
• The E(11) origin of all maximal supergravities - the hierarchy of field-strengths
• IIA/IIB Supergravity and Ten-forms
• Harmonic Superspaces in Low Dimensions
• The supermembrane revisited
• The cohomology of superspace, pure spinors and invariant integrals
• A Note on E11 and Three-dimensional Gauged Supergravity
• Kappa-symmetric SL(2,R) covariant D-brane actions

Cited by in corpus (21)

• Conformal supergravity in three dimensions: New off-shell formulation
• Three-dimensional N=2 (AdS) supergravity and associated supercurrents
• Conformal supergravity in three dimensions: Off-shell actions
• Three-dimensional (p,q) AdS superspaces and matter couplings
• The tensor hierarchy algebra
• N=6 superconformal gravity in three dimensions from superspace
• Superconformal symmetry and maximal supergravity in various dimensions
• Minimal unitary representations from supersymmetry
• The tensor hierarchy simplified
• Topologically gauged superconformal Chern-Simons matter theories
• Supersymmetric Domain Walls
• The two D6R4 type invariants and their higher order generalisation
• Superalgebras, constraints and partition functions
• Half-maximal supergravity in three dimensions: supergeometry, differential forms and algebraic structure
• D=3, N=8 conformal supergravity and the Dragon window
• Forms and algebras in (half-)maximal supergravity theories
• Maximal supergravity in D=10: forms, Borcherds algebras and superspace cohomology
• All Chern-Simons Invariants of 4D, N = 1 Gauged Superform Hierarchies
• Notophs of N = 8 supergravity
• Borcherds and Kac-Moody extensions of simple finite-dimensional Lie algebras
• Topics in 3D N=2 AdS supergravity in superspace