  The relation between celestial holography and Liouville field theory is
investigated. It is shown that duality relations between different Selberg type
integrals appearing in the Coulomb gas realization of Liouville correlation
functions induce a series of relations between celestial amplitudes with
shifted values of the operators dimensions $\Delta $.
  This is a transcript of the talk delivered by the author at the Workshop on
Celestial Holography and Asymptotic Symmetries, Santiago de Chile, March 4-6,
2024.
