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.

arXiv comment12 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 (25)

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Cited by in corpus (10)

• Kac-Moody Spectrum of (Half-)Maximal Supergravities
• Multiple Membranes from Gauged Supergravity
• Twin Supergravities
• On the E10/Massive Type IIA Supergravity Correspondence
• The supersymmetric tensor hierarchy of N=1,d=4 supergravity
• Real forms of very extended Kac-Moody algebras and theories with eight supersymmetries
• A Note on E11 and Three-dimensional Gauged Supergravity
• Stringy cosmic strings in matter coupled N=2, d=4 supergravity
• The Tensor Hierarchies of Pure N=2,d=4,5,6 Supergravities
• Finite and infinite-dimensional symmetries of pure N=2 supergravity in D=4