Generality of vanishing supersymmetric Komar charges

Establish whether the generalized Komar charge associated with a supersymmetric Killing vector vanishes for supersymmetric solutions in all supergravity theories.

Background

For the ten-dimensional type IIA and type IIB supergravity theories considered in the paper, the generalized Komar charge vanishes identically when the momentum maps are chosen to be the appropriate Killing-spinor bilinears.

The authors explicitly ask whether this vanishing is a universal property of supergravity, rather than a result restricted to the theories and formulations analyzed.