## 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:

- Univ. of Melbourne, Victoria (Australia). ARC Centre of Excellence for Particle Physics at the Terascale
- 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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