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

TL;DR

This paper investigates the relationship between non-propagating degrees of freedom in a specific supergravity theory with very extended G_2 and finds that the algebraic framework does not fully capture these features.

Contribution

It extends the analysis of non-propagating degrees of freedom to supergravity with G_2 symmetry and highlights limitations of the very extended algebra approach.

Findings

The algebraic approach does not fully describe non-propagating tensors in G_2 supergravity.

Supersymmetry realization on higher-rank tensors with no propagating degrees of freedom is limited.

The correspondence found in maximal supergravity does not generalize straightforwardly to G_2 cases.

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.