Abstract
We identify a parametrically light dilaton by studying the perturbations of metastable vacua along a branch of regular supergravity backgrounds that are dual to four-dimensional confining field theories. The branch includes also stable and unstable solutions. The former encompass, as a special case, the geometry proposed by Witten as a holographic model of confinement. The latter approach a supersymmetric solution, by enhancing a condensate in the dual field theory. A phase transition separates the space of stable backgrounds from the metastable ones. In proximity of the phase transition, one of the lightest scalar states inherits some of the properties of the dilaton, despite not being particularly light.
Highlights
The Higgs particle [1,2] might originate as a composite dilaton in a new strongly coupled theory
We identify a parametrically light dilaton by studying the perturbations of metastable vacua along a branch of regular supergravity backgrounds that are dual to four-dimensional confining field theories
The branch includes stable and unstable solutions. The former encompass, as a special case, the geometry proposed by Witten as a holographic model of confinement
Summary
The Higgs particle [1,2] might originate as a composite dilaton in a new strongly coupled theory. The literature on the effective field theory description of the dilaton has an ancient origin [3,4] It has been invoked in the context of dynamical electroweak symmetry breaking [5,6,7], of extensions of the standard model [8,9,10,11,12,13,14,15,16,17,18,19], and in the interpretation of lattice data [20,21,22,23,24,25,26,27,28,29,30]. The parametrically light dilaton emerges along the portion of the regular branch of solutions which contains metastable solutions, the lifetime of which is not known (but see Ref. [85])
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