Alladi Ramakrishnan Hall

AdS Witten Diagrams to Carrollian Correlators

Prateksh Dhivakar

IIT Kanpur

Carrollian Conformal Field Theories (CFTs) have been proposed as co-dimension one holographic duals to asymptotically flat spacetimes as opposed to Celestial CFTs which are co-dimension two. In this talk, drawing inspiration from Celestial holography, we show by a suitable generalisation of the flat space limit of AdS that keeps track of the previously disregarded null direction, one can reproduce Carrollian CFT correlation functions from AdS Witten diagrams. In particular, considering Witten diagrams in AdS$_4$, we reproduce two and three-point correlation functions for three dimensional Carrollian CFTs in the so called delta-function branch. We also obtain a generalised anti-podal matching condition that now depends on the retarded time direction. Based on arXiv:2303.07388 [hep-th] [1] and arXiv:2311.11246 [hep-th] [2].