Higher equations of motion in boundary Liouville field theory

A. Belavin, V. Belavin

Research output: Contribution to journalArticlepeer-review

3 Scopus citations


In addition to the ordinary bulk higher equations of motion in the boundary version of the Liouville conformal field theory, an infinite set of relations containing the boundary operators is found. These equations are in one-to-one correspondence with the singular representations of the Virasoro algebra. We comment on the possible applications in the context of minimal boundary Liouville gravity.

Original languageEnglish
Article number10
JournalJournal of High Energy Physics
Issue number2
StatePublished - 2010
Externally publishedYes


  • Conformal and W symmetry
  • Field theories in lower dimensions
  • Integrable equations in physics
  • Integrable field theories


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