Loop-corrected subleading soft theorem and the celestial stress-tensor

Abstract

We demonstrate that the one-loop exact subleading soft graviton theorem automatically follows from conservation of the BMS charges, provided that the hard and soft fluxes separately represent the extended BMS algebra at null infinity. This confirms that superrotations are genuine symmetries of the gravitational $\mathcal{S}$-matrix beyond the semiclassical regime. In contrast with a previous proposal, the celestial stress-tensor accounting for the one-loop corrections follows from the gravitational phase space analysis and does not require the addition of divergent counterterms. In addition, we show that the symplectic form on the radiative phase space factorises into hard and soft sectors, and that the resulting canonical generators precisely coincide with the correct BMS fluxes.

20 pages + appendices; v2: added comments; v3: added funding acknowledgment

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• Wedge Holography in Flat Space and Celestial Holography
• Revisiting the Shadow Stress Tensor in Celestial CFT
• Symmetries of the gravitational scattering in the absence of peeling
• Celestial Conformal Colliders
• Logarithmic Celestial Conformal Field Theory
• Celestial $w_{1+\infty }$ charges and the subleading structure of asymptotically-flat spacetimes
• Null Infinity and Horizons: A New Approach to Fluxes and Charges
• Radiative Asymptotic Symmetries of 3D Einstein-Maxwell Theory
• A General Hierarchy of Charges at Null Infinity via the Todd Polynomials
• Electromagnetic multipole expansions and the logarithmic soft photon theorem
• Loop corrections versus marginal deformation in celestial holography
• Scalar subleading soft theorems from an infinite tower of charges