Conformal wavefunctions for graviton amplitudes

The extended-BMS algebra of asymptotically flat spacetime contains an SO(3, 1) subgroup that acts by conformal transformations on the celestial sphere. It is of interest to study the representations of this subgroup associated with gravitons. To reduce the equation of motion to a Schrodinger-like equation it is necessary to impose a non-covariant gauge condition. Using these solutions, leading-order gauge invariant Weyl scalars are then computed and decomposed into families of unitary principal series representations. An invertible holographic mapping is constructed between these unitary principal series operators and massless spin-2 perturbations of flat spacetime.

Automated summary

The representations of the SO(3, 1) subgroup associated with gravitons in the extended-BMS algebra of asymptotically flat spacetime are of interest. A non-covariant gauge condition is necessary to reduce the equation of motion to a Schrodinger-like equation. Using these solutions, gauge invariant Weyl scalars are computed and decomposed into families of unitary principal series representations.