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Title: A soft-wall dilaton

Abstract

Here, 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.

Authors:
 [1];  [2]
  1. Univ. of Melbourne, Victoria (Australia). ARC Centre of Excellence for Particle Physics at the Terascale
  2. Univ. of Minnesota, Minneapolis, MN (United States). School of Physics and Astronomy
Publication Date:
Research Org.:
Univ. of Minnesota, Minneapolis, MN (United States)
Sponsoring Org.:
USDOE Office of Science (SC)
OSTI Identifier:
1454585
Grant/Contract Number:  
SC0011842
Resource Type:
Accepted Manuscript
Journal Name:
Journal of High Energy Physics (Online)
Additional Journal Information:
Journal Name: Journal of High Energy Physics (Online); Journal Volume: 2015; Journal Issue: 2; Journal ID: ISSN 1029-8479
Publisher:
Springer Berlin
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; 79 ASTRONOMY AND ASTROPHYSICS; AdS-CFT Correspondence; Field Theories in Higher Dimension

Citation Formats

Cox, Peter, and Gherghetta, Tony. A soft-wall dilaton. United States: N. p., 2015. Web. doi:10.1007/JHEP02(2015)006.
Cox, Peter, & Gherghetta, Tony. A soft-wall dilaton. United States. doi:10.1007/JHEP02(2015)006.
Cox, Peter, and Gherghetta, Tony. Mon . "A soft-wall dilaton". United States. doi:10.1007/JHEP02(2015)006. https://www.osti.gov/servlets/purl/1454585.
@article{osti_1454585,
title = {A soft-wall dilaton},
author = {Cox, Peter and Gherghetta, Tony},
abstractNote = {Here, 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.},
doi = {10.1007/JHEP02(2015)006},
journal = {Journal of High Energy Physics (Online)},
number = 2,
volume = 2015,
place = {United States},
year = {2015},
month = {2}
}

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