A Gravitational Effective Action on a Finite Triangulation
classification
✦ hep-th
math.GT
keywords
actioneffectivefunctiongravitationaltriangulationvariationvertexangle
read the original 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.
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