English

A Gravitational Effective Action on a Finite Triangulation

High Energy Physics - Theory 2009-11-11 v2 Geometric Topology

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.

Keywords

Cite

@article{arxiv.hep-th/0512293,
  title  = {A Gravitational Effective Action on a Finite Triangulation},
  author = {Albert Ko and Martin Rocek},
  journal= {arXiv preprint arXiv:hep-th/0512293},
  year   = {2009}
}

Comments

5 pages; clarifications, acknowledgements, references added

R2 v1 2026-07-22T15:34:00.557Z