Moduli integrals and ground ring in minimal Liouville gravity

@article{Belavin2005ModuliIA,
  title={Moduli integrals and ground ring in minimal Liouville gravity},
  author={A. Belavin and A. Zamolodchikov},
  journal={Journal of Experimental and Theoretical Physics Letters},
  year={2005},
  volume={82},
  pages={7-13}
}
Straightforward evaluation of the correlation functions in 2D minimal gravity requires integration over the moduli space. For degenerate fields, the Liouville higher equations of motion allow one to turn the integrand to a derivative and, thus, to reduce it to the boundary terms plus a so-called curvature contribution. The last is directly related to the expectation value of the corresponding ground ring element. We use the operator product expansion technique to reproduce the ground ring… Expand