General Bootstrap Equations in 4D CFTs
High Energy Physics - Theory
2017-05-17 v1
Abstract
We provide a framework for generic 4D conformal bootstrap computations. It is based on the unification of two independent approaches, the covariant (embedding) formalism and the non-covariant (conformal frame) formalism. We construct their main ingredients (tensor structures and differential operators) and establish a precise connection between them. We supplement the discussion by additional details like classification of tensor structures of n-point functions, normalization of 2-point functions and seed conformal blocks, Casimir differential operators and treatment of conserved operators and permutation symmetries. Finally, we implement our framework in a Mathematica package and make it freely available.
Cite
@article{arxiv.1705.05401,
title = {General Bootstrap Equations in 4D CFTs},
author = {Gabriel Francisco Cuomo and Denis Karateev and Petr Kravchuk},
journal= {arXiv preprint arXiv:1705.05401},
year = {2017}
}
Comments
57 pages