A soft-wall dilaton

Peter Cox, Tony Gherghetta

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14 Scopus citations


Abstract: We study the properties of the dilaton in a soft-wall background using two solutions of the Einstein equations. These solutions contain an asymptotically AdS metric with a nontrivial scalar profile that causes both the spontaneous breaking of conformal invariance and the generation of a mass gap in the particle spectrum. We first present an analytic solution, using the superpotential method, that describes a CFT spontaneously broken by a finite dimensional operator in which a light dilaton mode appears in the spectrum. This represents a tuning in the vanishing of the quartic coupling in the effective potential that could be naturally realised from an underlying supersymmetry. Instead, by considering a generalised analytic scalar bulk potential that quickly transitions at the condensate scale from a walking coupling in the UV to an order-one β-function in the IR, we obtain a naturally light dilaton. This provides a simple example for obtaining a naturally light dilaton from nearly-marginal CFT deformations in the more realistic case of a soft-wall background.

Original languageEnglish (US)
Article number6
JournalJournal of High Energy Physics
Issue number2
StatePublished - Feb 2015

Bibliographical note

Publisher Copyright:
© 2015, The Author(s).


  • AdS-CFT Correspondence
  • Field Theories in Higher Dimensions


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