AdS Higgs mechanism from double trace deformed CFT
Andreas Karch, Mianqi Wang, Merna Youssef
Abstract
A bstract 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.
Topics & Concepts
PhysicsHiggs bosonHiggs mechanismHiggs fieldGravitonScalar fieldConformal symmetryConformal mapScalar (mathematics)Spontaneous symmetry breakingAnti-de Sitter spaceConformal field theoryField (mathematics)Theoretical physicsGauge theorySymmetry breakingParticle physicsMathematical physicsGravitationQuantum mechanicsGeometryMathematicsPure mathematicsBlack Holes and Theoretical PhysicsCosmology and Gravitation TheoriesParticle physics theoretical and experimental studies