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SS23 – Abstract
Ana-Maria Raclariu
(University of Amsterdam, Institute of Physics)
22.6.2023
Celestial sector in CFT and conformally soft symmetries (PRETALK for students at 15:30 h)
Celestial conformal field theories (CFT) are proposed 2-dimensional holographic duals of gravity in 4-dimensional asymptotically flat spacetimes. I this talk I will present evidence that this proposal arises naturally as a flat space limit of the AdS/CFTcorrespondence. In particular, I will show that time intervals of infinitesimal width in 3-dimensional CFT on the Lorentzian cylinder admit an infinite dimensional symmetry enhancement. The associated vector fields are approximate solutions to the conformal Killing equations in the strip labelled by a function and a conformal Killing vector on the sphere. An Inonu-Wigner contraction yields a set of symmetry generators obeying the extended BMS4 algebra. I will demonstrate that both the leading and subleading conformally soft graviton theorems in celestial CFT can be obtained from the shadow stress tensor Ward identities of 3-dimensional CFT on the Lorentzian cylinder with all operator insertions in infinitesimal time intervals separated by \pi.
