Discretized gravity on the hyperbolic disk

Details Discretized gravity on the hyperbolic disk Discretized gravity on the hyperbolic disk

2006-10-27

arxiv.org/abs/hep-th/0610291v3

AIPConf.Proc.903:487-490,2007

Physics

High Energy Physics

High Energy Physics - Theory

4 pages, 2 figures, to appear in Proceedings of SUSY06, the 14th Conference on Supersymmetry and the Unification of Fundamenta

Scientific paper

10.1063/1.2735230

We consider a description of lattice gravity in six dimensions, where the two extra dimensions have been compactified on a warped hyperbolic disk of constant curvature. We analyze a fine-grained latticization of the hyperbolic disk in the context of an effective theory for massive gravitons. We find that in six-dimensional warped hyperbolic space, lattice gravity appears near the boundary of the disk more weakly coupled than in discretized five-dimensional flat or warped space. Specifically, near the IR branes, the local strong coupling scale can become as large as the local Planck scale.

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