Massless and Massive Higher Spins from Anti-de Sitter Space Waveguide

Abstract

Higgs mechanism to massive higher-spin gauge fields is an outstanding open problem. We investigate this issue in the context of Kaluza-Klein compactification. Starting from a free massless higher-spin field in $(d+2)$-dimensional anti-de Sitter space and compactifying over a finite angular wedge, we obtain an infinite tower of heavy, light and massless higher-spin fields in $(d+1)$-dimensional anti-de Sitter space. All massive higher-spin fields are described gauge invariantly in terms of Stüeckelberg fields. The spectrum depends on the boundary conditions imposed at both ends of the wedges. We obseved that higher-derivative boundary condition is inevitable for spin greater than three. For some higher-derivative boundary conditions, equivalently, spectrum-dependent boundary conditions, we get a non-unitary representation of partially-massless higher-spin fields of varying depth. We present intuitive picture which higher-derivative boundary conditions yield non-unitary system in terms of boundary action. We argue that isotropic Lifshitz interfaces in $O(N)$ Heisenberg magnet or $O(N)$ Gross-Neveu model provides the holographic dual conformal field theory and propose experimental test of (inverse) Higgs mechanism for massive and partially massless higher-spin fields.

v1. 62 pages, 7 figures, v2. 68 pages, 8 figures, published version

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Cited by in corpus (12)

• Mixed-symmetry fields in de Sitter space: a group theoretical glance
• Free box^k Scalar Conformal Field Theory
• Partially Massless Higher-Spin Theory
• Partially Massless Graviton on Beyond Einstein Spacetimes
• Looking for partially-massless gravity
• Partially Massless Higher-Spin Theory II: One-Loop Effective Actions
• Kaluza-Klein Reduction of Massive and Partially Massless Spin-2 Fields
• Anomalous dimensions of higher spin currents in large N CFTs
• Asymptotic Symmetries of Colored Gravity in Three Dimensions
• Spectral identities for Schrödinger operators
• AdS${}_3$/AdS${}_2$ degression of massless particles
• AdS${}_3$/AdS${}_2$ degression of Fronsdal fields