On exact solutions and perturbative schemes in higher spin theory

Carlo Iazeolla, Ergin Sezgin, Per Sundell

Research output: Contribution to journalReview articlepeer-review

8 Citations (Scopus)


We review various methods for finding exact solutions of higher spin theory in four dimensions, and survey the known exact solutions of (non)minimal Vasiliev's equations. These include instanton-like and black hole-like solutions in (A)dS and Kleinian spacetimes. A perturbative construction of solutions with the symmetries of a domain wall is also described. Furthermore, we review two proposed perturbative schemes: one based on perturbative treatment of the twistor space field equations followed by inverting Fronsdal kinetic terms using standard Green's functions; and an alternative scheme based on solving the twistor space field equations exactly followed by introducing the spacetime dependence using perturbatively defined gauge functions. Motivated by the need to provide a higher spin invariant characterization of the exact solutions, aspects of a proposal for a geometric description of Vasiliev's equation involving an infinite dimensional generalization of anti de Sitter space are revisited and improved.

Original languageEnglish
Article number5
Issue number1
Publication statusPublished - 1 Jan 2018


  • Exact solutions
  • Higher-spin geometry
  • Higher-spin gravity

ASJC Scopus subject areas

  • Physics and Astronomy(all)


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