Use in Euclidean-action evaluation

Determine how the generalized Komar-charge identities can be exploited in evaluating the Euclidean action of supersymmetric and non-supersymmetric solutions.

Background

The introduction relates the generalized Komar charge to objects appearing in equivariant localization computations of Euclidean actions for supersymmetric solutions, while noting that the relation had not previously been made precise. The paper establishes the relevant Komar-charge results but does not resolve their practical use in action computations.

The conclusions explicitly leave open how these identities might be applied to the evaluation of Euclidean actions for both supersymmetric and non-supersymmetric solutions.