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Lectures on Celestial Holography

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arxiv 2107.02075 v1 pith:7USACAY2 submitted 2021-07-05 hep-th

Lectures on Celestial Holography

classification hep-th
keywords celestialholographylectureslorentzscatteringamplitudesasymptoticasymptotically
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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These notes consist of 3 lectures on celestial holography given at the Pre-Strings school 2021. We start by reviewing how semiclassically, the subleading soft graviton theorem implies an enhancement of the Lorentz symmetry of scattering in four-dimensional asymptotically flat gravity to Virasoro. This leads to the construction of celestial amplitudes as $\mathcal{S}$-matrices computed in a basis of boost eigenstates. Both massless and massive asymptotic states are recast as insertions on the celestial sphere transforming as global conformal primaries under the Lorentz SL$(2, \mathbb{C})$. We conclude with an overview of celestial symmetries and the constraints they impose on celestial scattering.

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