Revisiting the Shadow Stress Tensor in Celestial CFT

Abstract

We revisit the standard construction of the celestial stress tensor as a shadow of the subleading conformally soft graviton. In its original formulation there is an obstruction to reproducing the expected TT OPE in the double soft limit. We propose a modification to the definition which circumvents this obstruction and then extend this change of basis beyond the conformally soft and single helicity sectors. In the process we investigate how (non)-commutativity of double soft limits is tied to the decoupling of primary descendants, and how our choice of celestial basis determines which symmetries are manifest at the level of the OPE beyond the MHV sector.

References in corpus (7)

• Gluon Amplitudes as 2d Conformal Correlators
• 4D Scattering Amplitudes and Asymptotic Symmetries from 2D CFT
• Loop-corrected subleading soft theorem and the celestial stress-tensor
• Goldilocks Modes and the Three Scattering Bases
• Soft Scalars and the Geometry of the Space of Celestial CFTs
• A Comment on Loop Corrections to the Celestial Stress Tensor
• Celestial Conformal Colliders

Cited by in corpus (6)

• Carrollian Approach to $1+3$D Flat Holography
• Logarithmic Celestial Conformal Field Theory
• $p$-Forms on the Celestial Sphere
• Entanglement Rényi entropies in celestial holography
• Loop corrections versus marginal deformation in celestial holography
• Double-soft limit and celestial shadow OPE from charge bracket