On a finite null boundary, the boost-weighted metric functionals and their evolution equations form a recursive tower seeded by the w=-2 functional, and the sub-leading Holst charge contains Im Ψ2.
Bondi-Sachs Formalism.Scholarpedia, 11:33528, 2016
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Duality symmetry and dynamics on finite null boundaries
On a finite null boundary, the boost-weighted metric functionals and their evolution equations form a recursive tower seeded by the w=-2 functional, and the sub-leading Holst charge contains Im Ψ2.