Four-point correlation modular bootstrap for OPE densities

Carlos Cardona, Cynthia Keeler, William Munizzi

Research output: Contribution to journalArticlepeer-review

1 Scopus citations


In this work we apply the lightcone bootstrap to a four-point function of scalars in two-dimensional conformal field theory. We include the entire Virasoro symmetry and consider non-rational theories with a gap in the spectrum from the vacuum and no conserved currents. For those theories, we compute the large dimension limit (h/c ≫ 1) of the OPE spectral decomposition of the Virasoro vacuum. We then propose a kernel ansatz that generalizes the spectral decomposition beyond h/c ≫ 1. Finally, we estimate the corrections to the OPE spectral densities from the inclusion of the lightest operator in the spectrum.

Original languageEnglish (US)
Article number194
JournalJournal of High Energy Physics
Issue number10
StatePublished - Oct 2021


  • AdS-CFT Correspondence
  • Conformal Field Theory
  • Nonperturbative Effects

ASJC Scopus subject areas

  • Nuclear and High Energy Physics


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