Applications of dispersive sum rules: $ε$-expansion and holography

We use Mellin space dispersion relations together with Polyakov conditions to derive a family of sum rules for Conformal Field Theories (CFTs). The defining property of these sum rules is suppression of the contribution of the double twist operators. Firstly, we apply these sum rules to the Wilso...

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Bibliographic Details
Main Author: Dean Carmi, Joao Penedones, Joao A. Silva, Alexander Zhiboedov
Format: Article
Language:English
Published: SciPost 2021-06-01
Series:SciPost Physics
Online Access:https://scipost.org/SciPostPhys.10.6.145