The N = 2 prepotential and the sphere free energy

Bernardo Zan, Daniel Z. Freedman, Silviu S. Pufu

Research output: Contribution to journalArticlepeer-review

2 Scopus citations


We study the mass-deformed sphere free energy of three-dimensional N = 2 superconformal field theories with holographic duals. Building on previous observations, we conjecture a proportionality relation between the sphere free energy on the boundary and the prepotential of the four-dimensional N = 2 supergravity theory in the bulk. We verify this formula by explicit computation in several examples of supergravity theories with vector multiplets and hypermultiplets.

Original languageEnglish (US)
Article number45
JournalJournal of High Energy Physics
Issue number6
StatePublished - Jun 2022

All Science Journal Classification (ASJC) codes

  • Nuclear and High Energy Physics


  • AdS-CFT Correspondence
  • Extended Supersymmetry
  • Renormalization Group
  • Supergravity Models


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