Holography for N = 1 on S 4

Nikolay Bobev, Henriette Elvang, Uri Kol, Timothy Olson, Silviu S. Pufu

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37 Scopus citations


We construct the five-dimensional supergravity dual of the N = 1 mass deformation of the N = 4 supersymmetric Yang-Mills theory on S4 and use it to calculate the universal contribution to the corresponding S4 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 ℝ4, 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 S4 as well as the action of S-duality on the N = 1 theory.

Original languageEnglish (US)
Article number95
JournalJournal of High Energy Physics
Issue number10
StatePublished - Oct 1 2016

All Science Journal Classification (ASJC) codes

  • Nuclear and High Energy Physics


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


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