Boundary conditions in topological AdS4/CFT3

Pietro Benetti Genolini*, Matan Grinberg, Paul Richmond

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

2 Citations (Scopus)
44 Downloads (Pure)


We revisit the construction in four-dimensional gauged Spin(4) supergravity of the holographic duals to topologically twisted three-dimensional N = 4 field theories. Our focus in this paper is to highlight some subtleties related to preserving supersymmetry in AdS/CFT, namely the inclusion of finite counterterms and the necessity of a Legendre transformation to find the dual to the field theory generating functional. Studying the geometry of these supergravity solutions, we conclude that the gravitational free energy is indeed independent from the metric of the boundary, and it vanishes for any smooth solution.

Original languageEnglish
Article number156
JournalJournal of High Energy Physics
Issue number2
Publication statusPublished - Feb 2021


  • AdS-CFT Correspondence
  • Extended Supersymmetry
  • Supersymmetric Gauge Theory


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