# Liouville quantum gravity on the annulus

@article{Remy2018LiouvilleQG, title={Liouville quantum gravity on the annulus}, author={Guillaume Remy}, journal={Journal of Mathematical Physics}, year={2018} }

In this work we construct Liouville quantum gravity on an annulus in the complex plane. This construction is aimed at providing a rigorous mathematical framework to the work of theoretical physicists initiated by Polyakov in 1981. It is also a very important example of a conformal field theory (CFT). Results have already been obtained on the Riemann sphere and on the unit disk so this paper will follow the same approach. The case of the annulus contains two difficulties: it is a surface with…

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