E10 and Gauged Maximal Supergravity

Abstract

We compare the dynamics of maximal three-dimensional gauged supergravity in appropriate truncations with the equations of motion that follow from a one-dimensional E10/K(E10) coset model at the first few levels. The constant embedding tensor, which describes gauge deformations and also constitutes an M-theoretic degree of freedom beyond eleven-dimensional supergravity, arises naturally as an integration constant of the geodesic model. In a detailed analysis, we find complete agreement at the lowest levels. At higher levels there appear mismatches, as in previous studies. We discuss the origin of these mismatches.

34 pages. v2: added references and typos corrected. Published version

References in corpus (27)

• E_11 and M Theory
• E10 and a "small tension expansion" of M Theory
• Maximal gauged supergravity in three dimensions
• Gauged maximal supergravities and hierarchies of nonabelian vector-tensor systems
• Compact and Noncompact Gauged Maximal Supergravities in Three Dimensions
• The E_{11} origin of all maximal supergravities
• Gauged Supergravities, Tensor Hierarchies, and M-Theory
• Very-extended Kac-Moody algebras and their interpretation at low levels
• E(11) and the Embedding Tensor
• Kac-Moody Symmetries of IIB Supergravity
• G+++ Invariant Formulation of Gravity and M-Theories: Exact BPS Solutions
• Hidden symmetries and the fermionic sector of eleven-dimensional supergravity
• Supergravities without an Action: Gauging the Trombone
• E10 and SO(9,9) invariant supergravity
• Extended E8 Invariance of 11-Dimensional Supergravity
• E(11)-extended spacetime and gauged supergravities
• Kac-Moody Spectrum of (Half-)Maximal Supergravities
• Dual fields and E_{11}
• K(E10), Supergravity and Fermions
• G+++ Invariant Formulation of Gravity and M-Theories: Exact Intersecting Brane Solutions
• Massive IIA Supergravity as a Non-linear Realisation
• Gradient Representations and Affine Structures in AE(n)
• On the Yangian Y(e_8) quantum symmetry of maximal supergravity in two dimensions
• Constraints and the E10 Coset Model
• On the E10/Massive Type IIA Supergravity Correspondence
• A Note on E11 and Three-dimensional Gauged Supergravity
• Eleven dimensional supergravity and the E10/KE10 sigma-model at low A9 levels

Cited by in corpus (12)

• The E(11) origin of all maximal supergravities - the hierarchy of field-strengths
• Twin Supergravities
• On the E10/Massive Type IIA Supergravity Correspondence
• Local E(11)
• Forms and algebras in (half-)maximal supergravity theories
• Supergravity and M-Theory
• Arithmetic and Hyperbolic Structures in String Theory
• Oxidizing Borcherds symmetries
• Gauged Supergravities and the Physics of Extra Dimensions
• Exceptional Lie algebras and M-theory
• Automorphic correction of the hyperbolic Kac-Moody algebra $E_{10}$
• Gaugings and other aspects in supergravity