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09 February 2025
 
  » arxiv » 1609.0282

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A 2D Stress Tensor for 4D Gravity
Daniel Kapec ; Prahar Mitra ; Ana-Maria Raclariu ; Andrew Strominger ;
Date 1 Sep 2016
AbstractWe use the subleading soft-graviton theorem to construct an operator $T_{zz}$ whose insertion in the four-dimensional tree-level quantum gravity $mathcal{S}$-matrix obeys the Virasoro-Ward identities of the energy momentum tensor of a two-dimensional conformal field theory (CFT$_2$). The celestial sphere at Minkowskian null infinity plays the role of the Euclidean sphere of the CFT$_2$, with the Lorentz group acting as the unbroken $SL(2,mathbb{C})$ subgroup.
Source arXiv, 1609.0282
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