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 AdSd+1 with a finite radial cut-off. We then demonstrate how the flow equation can be independently derived from a regularization procedure of defining TT operators through a local Callan-Symanzik equation. Finally, we show that the sphere partition functions, modulo bulk-counterterm contributions, can be reproduced from Wheeler-DeWitt wavefunctions.
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Caputa, P., Datta, S. & Shyam, V. Sphere partition functions & cut-off AdS. J. High Energ. Phys. 2019, 112 (2019). https://doi.org/10.1007/JHEP05(2019)112
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DOI: https://doi.org/10.1007/JHEP05(2019)112