Nonperturbative Mellin amplitudes: existence, properties, applications
From MaRDI portal
Publication:2225702
DOI10.1007/JHEP08(2020)031zbMATH Open1454.83145arXiv1912.11100OpenAlexW3105273381MaRDI QIDQ2225702
Author name not available (Why is that?)
Publication date: 10 February 2021
Published in: (Search for Journal in Brave)
Abstract: We argue that nonperturbative CFT correlation functions admit a Mellin amplitude representation. Perturbative Mellin representation readily follows. We discuss the main properties of nonperturbative CFT Mellin amplitudes: subtractions, analyticity, unitarity, Polyakov conditions and polynomial boundedness at infinity. Mellin amplitudes are particularly simple for large N CFTs and 2D rational CFTs. We discuss these examples to illustrate our general discussion. We consider subtracted dispersion relations for Mellin amplitudes and use them to derive bootstrap bounds on CFTs. We combine crossing, dispersion relations and Polyakov conditions to write down a set of extremal functionals that act on the OPE data. We check these functionals using the known 3d Ising model OPE data and other known bootstrap constraints. We then apply them to holographic theories.
Full work available at URL: https://arxiv.org/abs/1912.11100
No records found.
No records found.
This page was built for publication: Nonperturbative Mellin amplitudes: existence, properties, applications
Report a bug (only for logged in users!)Click here to report a bug for this page (MaRDI item Q2225702)
