A Gravitational Effective Action on a Finite Triangulation
arXiv:hep-th/0512293 · doi:10.1088/1126-6708/2006/03/021
Abstract
We construct a function of the edge-lengths of a triangulated surface whose variation under a rescaling of all the edges that meet at a vertex is the defect angle at that vertex. We interpret this function as a gravitational effective action on the triangulation, and the variation as a trace anomaly.
5 pages; clarifications, acknowledgements, references added