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A four-dimensional field theory with a qualitatively new type of nonlocalityis constructed from a setting where Kaluza-Klein particles probe toroidallycompactified string theory with twisted boundary conditions. In this theoryfundamental particles are not pointlike and occupy a volume proportional totheir R-charge. The theory breaks Lorentz invariance but appears to preservespatial rotations. At low energies, it is approximately N=4 Super Yang-Millstheory, deformed by an operator of dimension seven. The dispersion relation ofmassless modes in vacuum is unchanged, but under certain conditions in thistheory, particles can travel at superluminal velocities.Comment: references adde

New Lorentz-violating nonlocal field theory from string theory