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A thin limit description of the 6D Cascading DGP model is derived, startingfrom a configuration where both the codimension-1 and the codimension-2 branesare thick. Postulating that the thicknesses of the two branes obey a hierarchicrelation, the thin limit is executed in two steps. First the thin limit of thecodimension-1 brane is executed, obtaining a system where a "ribbon"codimension-2 brane is embedded inside a thin codimension-1 brane with inducedgravity, and then the thin limit of the ribbon brane is considered. Byproposing a geometric ansatz on the limit configuration, the junctionconditions which are to hold at the thin codimension-2 brane are derived. Thelatters are fully non-perturbative and covariant and, together with the Israeljunction conditions at the codimension-1 brane and the Einstein equations inthe bulk, constitute the looked-for thin limit formulation of the 6D CascadingDGP model. It is commented on how wide is the class of thin sourceconfigurations which can be placed on the thin codimension-2 brane.

Thin limit of the 6D Cascading DGP model