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arXiv · 1705.05401

General Bootstrap Equations in 4D CFTs

Gabriel Francisco Cuomo·Denis Karateev·Petr Kravchuk
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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.

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Gabriel Francisco Cuomo, Denis Karateev, Petr Kravchuk. 2017-05-15. General Bootstrap Equations in 4D CFTs. https://arxiv.org/abs/1705.05401

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