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Sphere partition functions and cut-off AdS

Research paper by Pawel Caputa, Shouvik Datta, Vasudev Shyam

Indexed on: 28 Feb '19Published on: 28 Feb '19Published in: arXiv - High Energy Physics - Theory



Abstract

We consider sphere partition functions of TT deformed large N conformal field theories in d=2,3,4,5 and 6 dimensions, computed using the flow equation. These are shown to non-perturbatively match with bulk computations of $AdS_{d+1}$ with a finite radial cut-off. We then demonstrate how the flow equation can be independently derived from a regularization procedure in defining TT operators. Finally, we show that the sphere partition functions, modulo bulk-counterterm contributions, can be reproduced from Wheeler-DeWitt wave functions.