On exact solutions and perturbative schemes in higher spin theory

Carlo Iazeolla, Ergin Sezgin, Per Sundell

Research output: Contribution to journalReview articlepeer-review

15 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

  • General Physics and Astronomy


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