15-17 January 2020
Santiago de Compostela
Europe/Zurich timezone

Non-perturbative Mellin Amplitudes

15 Jan 2020, 17:30
Santiago de Compostela

Santiago de Compostela

Hospederia de San Martiño Pinario Plaza de la Inmaculada, 3 15704 Santiago de Compostela


Joao Pedro Alves Da Silva (EPFL - EPF Lausanne)


We argue that nonperturbative CFT correlation functions admit Mellin amplitude representation. Perturbative Mellin representation readily follows. We derive main properties of nonperturbative CFT Mellin amplitudes: analyticity, unitarity and polynomial boundedness at infinity. We consider dispersion relations for Mellin amplitudes and use them to derive bootstrap bounds and constrain AdS effective actions. We analyze the bootstrap bounds in the case of the 3d Ising model. Mellin amplitudes are particularly simple for large N CFTs and 2D rational CFTs. We discuss these special cases to illustrate general ideas on concrete examples.

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