### Abstract

We construct the five-dimensional supergravity dual of the N = 1^{∗} mass deformation of the N = 4 supersymmetric Yang-Mills theory on S^{4} and use it to calculate the universal contribution to the corresponding S^{4} free energy at large ’t Hooft coupling in the planar limit. The holographic RG flow solutions are smooth and preserve four supercharges. As a novel feature compared to the holographic duals of N = 1^{∗} on ℝ^{4}, in our backgrounds the five-dimensional dilaton has a non-trivial profile, and the gaugino conden- sate is fixed in terms of the mass-deformation parameters. Important aspects of the analysis involve characterizing the ambiguities in the partition function of non-conformal N = 1 supersymmetric theories on S^{4} as well as the action of S-duality on the N = 1^{∗} theory.

Original language | English (US) |
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Article number | 95 |

Journal | Journal of High Energy Physics |

Volume | 2016 |

Issue number | 10 |

DOIs | |

State | Published - Oct 1 2016 |

### All Science Journal Classification (ASJC) codes

- Nuclear and High Energy Physics

### Keywords

- AdS-CFT Correspondence
- Gauge-gravity correspondence
- Supergravity Models
- Supersymmetric gauge theory

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## Cite this

^{∗}on S

^{4}

*Journal of High Energy Physics*,

*2016*(10), [95]. https://doi.org/10.1007/JHEP10(2016)095