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.
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Acknowledgments
This work was supported in part by the U.S. Department of Energy under Grant No. DESC0022021 and a grant from the Simons Foundation (Grant 651440, AK).
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ArXiv ePrint: 2311.10135
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Karch, A., Wang, M. & Youssef, M. AdS Higgs mechanism from double trace deformed CFT. J. High Energ. Phys. 2024, 44 (2024). https://doi.org/10.1007/JHEP02(2024)044
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DOI: https://doi.org/10.1007/JHEP02(2024)044