Massless and massive higher spins from anti-de Sitter space waveguide
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Publication:1636435
DOI10.1007/JHEP11(2016)024zbMATH Open1390.83283arXiv1605.06526OpenAlexW2404372294MaRDI QIDQ1636435
Author name not available (Why is that?)
Publication date: 12 June 2018
Published in: (Search for Journal in Brave)
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 -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 -dimensional anti-de Sitter space. All massive higher-spin fields are described gauge invariantly in terms of St"ueckelberg 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 Heisenberg magnet or 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.
Full work available at URL: https://arxiv.org/abs/1605.06526
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