The phase structure and effective action of 3D CDT at higher spatial genus

A bstract We perform a detailed investigation of the phase structure and semiclassical effective action (2+1)-dimensional Causal Dynamical Triangulations (CDT) quantum gravity using computer simulations. On one hand, we study effect enlarging ensemble triangulations by relaxing simplicial manifold conditions in controlled way. other cast first look at CDT geometries with spatial topology beyond that sphere or torus. measure model for several triangulation ensembles topologies, finding evidence is qualitatively unaffected these generalizations. Furthermore, determine volumes system, again varying topology. In all cases where were able to gather sufficient statistics, found resulting be consistent minisuperspace derived from continuum Einstein gravity, although more work needed confirm this conclusion. interpret our overall results as 1) partially changing genus does not affect limit 3D 2) increasing system likely influence leading-order terms emergent action.