Modular differential equations and null vectors

Matthias R. Gaberdiel, Christoph A. Keller

Research output: Contribution to journalArticlepeer-review

34 Scopus citations


We show that every modular differential equation of a rational conformal field theory comes from a null vector in the vacuum Verma module. We also comment on the implications of this result for the consistency of the extremal self-dual conformal field theories at c = 24k.

Original languageEnglish (US)
Article number079
JournalJournal of High Energy Physics
Issue number9
StatePublished - Sep 1 2008


  • AdS-CFT correspondence
  • Conformal field models in string theory

ASJC Scopus subject areas

  • Nuclear and High Energy Physics


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