TL;DR
This paper develops a lattice-based framework for gauge mediation of supersymmetry breaking, connecting four-dimensional models to five-dimensional gauge mediation effects through a deconstructed orbifold moose.
Contribution
It introduces a method to compute gaugino and scalar masses from current correlators in a lattice setup, reproducing 5D gauge mediation effects within a 4D theory.
Findings
Derived formulas for gaugino and scalar masses from current correlators.
Showed how lattice hopping functions mediate supersymmetry breaking effects.
Reproduced five-dimensional gauge mediation effects in a purely four-dimensional framework.
Abstract
We locate a supersymmetry breaking hidden sector and supersymmetric standard model on different lattice points of an orbifold moose. The hidden sector is encoded in a set of current correlators and the effects of the current correlators are mediated by the lattice site gauge groups with "lattice hopping" functions and through the bifundamental matter that links the lattice sites together. We show how the gaugino mass, scalar mass and Casimir energy of the lattice can be computed for a general set of current correlators and then give specific formulas when the hidden sector is specified to be a generalised messenger sector coupled to a supersymmetry breaking spurion. The results reproduce the effect of five dimensional gauge mediation from a purely four dimensional construction.
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