We present models of flavorful supersymmetry in higher dimensions. The Higgs fields and the supersymmetry breaking field are localized in the same place in the extra dimension(s). The Yukawa couplings and operators generating the supersymmetry breaking parameters then receive the same suppression factors from the wavefunction profiles of the matter fields, leading to a specific correlation betw...

We collect results for bond percolation on various lattices from two to fourteen dimensions that, in the limit of large dimension d or number of neighbors z, smoothly approach a randomly diluted Erdős-Rényi graph. We include results on bond-diluted hypersphere packs in up to nine dimensions, which show the mean coordination, excess kurtosis, and skewness evolving smoothly with dimension towards...

Most studies of neural control have looked at constrained tasks, with only a few degrees of freedom, but real sensorimotor systems are high dimensional--e.g. gaze-control systems that coordinate the head and two eyes have to work with 12 degrees of freedom in all. These extra degrees of freedom matter, because they bring with them new issues and questions, which make it hard to translate low-di...

We supplement our paper Weighted Averages on Surfaces [1] with technical details, additional intuition, and proofs related to Phong projection. We also show how our generalized barycentric coordinates reduce to Moving Least Squares over Euclidean space. The motivation and applications of Phong projection are discussed in the paper [1]. 1 Phong projection Let M = (V, E ,F) be a triangle mesh wit...

A complete 5-dimensional SU(5) unified theory is constructed which, on compactification on the orbifold S/(Z2 ×Z ′ 2), yields the minimal supersymmetric standard model. The orbifold accomplishes SU(5) gauge symmetry breaking, doublet-triplet splitting, and a vanishing of proton decay from operators of dimension 5. Until 4d supersymmetry is broken, all proton decay from dimension 4 and dimension...