Discretized Gravity on the Hyperbolic Disk


We consider discretized gravity in six dimensions, where the two extra dimensions have been compactified on a hyperbolic disk of constant curvature. We analyze a fine-grained realization of lattice gravity on the hyperbolic disk at the level of an effective field theory for massive gravitons. It is shown that a nonzero curvature or warping in radial direction allows to obtain a strong coupling scale that becomes in the infrared regime larger than in discretized warped five-dimensional space. In particular, when approaching the boundary of the discretized warped hyperbolic disk, the local strong coupling scale can be as large as the local Planck scale.

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@inproceedings{Seidl2006DiscretizedGO, title={Discretized Gravity on the Hyperbolic Disk}, author={Gerhart Seidl}, year={2006} }