Non-propagating degrees of freedom in supergravity and very extended G_2

Abstract

Recently a correspondence between non-propagating degrees of freedom in maximal supergravity and the very extended algebra E_11 has been found. We perform a similar analysis for a supergravity theory with eight supercharges and very extended G_2. In particular, in the context of d=5 minimal supergravity, we study whether supersymmetry can be realised on higher-rank tensors with no propagating degrees of freedom. We find that in this case the very extended algebra fails to capture these possibilities.

12 pages, 1 figure. v2: transformation properties of higher-rank tensors under SU(2) R-symmetry analysed and refs added. v3: improved discussion, published version

References in corpus (6)

• The E_{11} origin of all maximal supergravities
• E(11) and the Embedding Tensor
• IIA Ten-forms and the Gauge Algebras of Maximal Supergravity Theories
• Dual fields and E_{11}
• Gauging hidden symmetries in two dimensions
• Enhanced Coset Symmetries and Higher Derivative Corrections

Cited by in corpus (7)

• Kac-Moody Spectrum of (Half-)Maximal Supergravities
• Multiple Membranes from Gauged Supergravity
• Twin Supergravities
• The supersymmetric tensor hierarchy of N=1,d=4 supergravity
• A Note on E11 and Three-dimensional Gauged Supergravity
• Finite and infinite-dimensional symmetries of pure N=2 supergravity in D=4
• The Tensor Hierarchies of Pure N=2,d=4,5,6 Supergravities