Dressed observables on general de Sitter slicings

Extend the leading-order gravitational dressing construction from the time-symmetric slice of de Sitter space to more general spacelike slicings, despite the additional technical difficulties involved.

Background

The paper constructs gravitationally dressed observables on the time-reflection-symmetric, maximally symmetric spatial slice of global de Sitter space. On this slice, the vanishing extrinsic curvature simplifies the constraint operators and permits explicit Green-function solutions on the sphere.

The authors state that the construction should in principle extend to more general slices, but they do not carry out that extension. Such a generalization would be needed to describe dressed observables in more general time-dependent slicings of de Sitter space.

References

In principle it appears that the construction of gravitationally dressed operators on the symmetric slice of dS can be extended to a construction of dressed operators on more general slices, though of course this involves more technical difficulty. Study of this is left for future work.

— Leading gravitational dressing of operators and states in de Sitter space  (2610.02209 - Giddings et al., 1 Oct 2026) in Section 5, “Generalizations, discussion, and some further questions”