Towards top-down holographic composite Higgs: minimal coset from maximal supergravity. (English) Zbl 1522.83379
Summary: Within the context of top-down holography, we study a one-parameter family of regular background solutions of maximal gauged supergravity in seven dimensions, dimensionally reduced on a 2-torus. The dual, four-dimensional confining field theory realises the global (spontaneous as well as explicit) symmetry breaking pattern \(\mathrm{SO}(5)\rightarrow\mathrm{SO}(4)\). We compute the complete mass spectrum for the fluctuations of the 128 bosonic degrees of freedom of the five-dimensional gravity theory, which correspond to scalar, pseudoscalar, vector, axial-vector, and tensor bound states of the dual field theory, and includes particles with exotic SO(4) quantum numbers. We confirm the existence of tachyonic instabilities near the boundaries of the parameter space.
We discuss the interplay between explicit and spontaneous symmetry breaking. The \(\mathrm{SO}(5)/\mathrm{SO}(4)\) coset might provide a first step towards the realisation of a calculable framework and ultraviolet completion of minimal composite Higgs models, if the four pseudo-Nambu-Goldstone bosons are identified with the real components of the Higgs doublet in the standard model (SM), and a subgroup of SO(4) with the \(\mathrm{SU}(2)\times\mathrm{U}(1)\) SM gauge group. We exhibit an example with an additional localised boundary term that mimics the effect of a weakly-coupled external sector.
We discuss the interplay between explicit and spontaneous symmetry breaking. The \(\mathrm{SO}(5)/\mathrm{SO}(4)\) coset might provide a first step towards the realisation of a calculable framework and ultraviolet completion of minimal composite Higgs models, if the four pseudo-Nambu-Goldstone bosons are identified with the real components of the Higgs doublet in the standard model (SM), and a subgroup of SO(4) with the \(\mathrm{SU}(2)\times\mathrm{U}(1)\) SM gauge group. We exhibit an example with an additional localised boundary term that mimics the effect of a weakly-coupled external sector.
MSC:
| 83E50 | Supergravity |
| 81T30 | String and superstring theories; other extended objects (e.g., branes) in quantum field theory |
| 81T60 | Supersymmetric field theories in quantum mechanics |
| 81T40 | Two-dimensional field theories, conformal field theories, etc. in quantum mechanics |
| 83E30 | String and superstring theories in gravitational theory |
| 81T35 | Correspondence, duality, holography (AdS/CFT, gauge/gravity, etc.) |
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