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Toward higher-spin symmetry breaking in the bulk

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arxiv 2312.11096 v2 pith:GEAIM6VP submitted 2023-12-18 hep-th

classification hep-th
keywords higher-spinsymmetrydeltadimensionspoincarscalarspace-timevacuum
verification ladder T0 review T1 audit T2 compute T3 formal
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abstract

We present a new vacuum of the bosonic higher-spin gauge theory in $d+1$ dimensions, which has leftover symmetry of the Poincar\'{e} algebra in $d$ dimensions. Its structure is very simple: the space-time geometry is that of $AdS$, while the only nonzero field is a scalar. The scalar extends along the Poincar\'{e} radial coordinate $z$ and is shown to be linearly exact for an arbitrary mixture of its two $\Delta=2$ and $\Delta=d-2$ conformal branches. The obtained vacuum breaks the global higher-spin symmetry leading to a broken phase that lives in the Minkowski space-time.

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Cited by 2 Pith papers

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

  1. Unfolded hypermultiplet in harmonic superspace

    hep-th 2026-03 unverdicted novelty 7.0 of 10

    A single unfolded first-order system reproduces the massless hypermultiplet in harmonic, N=2, N=1, and Minkowski formulations.

  2. On symmetry breaking in the self-dual higher-spin theory

    hep-th 2025-09 conditional novelty 6.0 of 10

    In the self-dual higher-spin theory, a scalar vacuum that breaks AdS symmetry to 3D Poincaré makes all higher-spin gauge fields decouple except spin one, and makes higher-spin currents non-conserved except the spin-on...

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