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Higgs Phenomenon for 4-D Gravity in Anti de Sitter Space

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arxiv hep-th/0112166 v1 pith:JQX2ALC5 submitted 2001-12-19 hep-th

classification hep-th
keywords spaceboundarygravityanticonditionsessentialhiggsphenomenon
verification ladder T0 review T1 audit T2 compute T3 formal
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We show that standard Einstein gravity coupled to a free conformal field theory (CFT) in Anti de Sitter space can undergo a Higgs phenomenon whereby the graviton acquires a nonzero mass (and three extra polarizations). We show that the essential ingredients of this mechanism are the discreteness of the energy spectrum in AdS space, and unusual boundary conditions on the elementary fields of the CFT. These boundary conditions can be interpreted as implying the existence of a 3-d defect CFT living at the boundary of the AdS space. Our free-field computation sheds light on the essential, model-independent features of AdS that give rise to massive gravity.

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Cited by 3 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. A Partially Massless Superconductor

    hep-th 2025-07 conditional novelty 8.0 of 10

    A covariant Higgs mechanism turns the partially massless graviton into a fully massive spin-2 field by condensing a fractonic matter field with dipole symmetry.

  2. Disturbing news about the $d=2+\epsilon$ expansion

    hep-th 2025-05 conditional novelty 7.0 of 10

    A protected operator forces the O(N) nonlinear sigma model fixed point in 2+epsilon dimensions to be a different CFT family from the Wilson-Fisher O(N) fixed point for finite N.

  3. Massive Gravity @ 15

    hep-th 2026-07 unverdicted

    A status review arguing that ghost-free massive gravity remains a theoretically consistent and phenomenologically viable infrared modification of General Relativity, with open UV questions.

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