Torus one-point correlation numbers in minimal Liouville gravity

A. Artemev, V. Belavin

Research output: Contribution to journalArticlepeer-review


We present a method for the first principles calculation of tachyon one-point amplitudes in (2, 2p + 1) minimal Liouville gravity defined on a torus. The method is based on the higher equations of motion in the Liouville CFT. These equations were earlier successfully applied for analytic calculations of the amplitudes in the spherical topology. We show that this approach allows to reduce the moduli integrals entering the definition of the torus amplitudes to certain boundary contributions, which can be calculated explicitly. The results agree with the calculations performed in the matrix models approach.

Original languageEnglish
Article number116
JournalJournal of High Energy Physics
Issue number2
StatePublished - Feb 2023


  • 2D Gravity
  • Conformal and W Symmetry
  • Conformal Field Models in String Theory

All Science Journal Classification (ASJC) codes

  • Nuclear and High Energy Physics


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