AdS Higgs mechanism from double trace deformed CFT
High Energy Physics - Theory
2023-11-20 v1
Abstract
Explicit breaking of a global symmetry in a conformal field theory is holographically dual to giving mass to a gauge field living in AdS via the Higgs mechanism. We show that if this breaking is induced via a double trace deformation the Higgs mechanism is induced via a scalar loop diagram. The mass can be calculated analytically in both bulk and field theory and we find perfect agreement. While representing familiar physics, the mechanism is identical to how the graviton picks up a mass in the holographic dual of a conformal field theory coupled to a bath.
Cite
@article{arxiv.2311.10135,
title = {AdS Higgs mechanism from double trace deformed CFT},
author = {Andreas Karch and Mianqi Wang and Merna Youssef},
journal= {arXiv preprint arXiv:2311.10135},
year = {2023}
}