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In the Randall-Sundrum model, setting the ratio of up and down quark masses $m_u/m_d << 1$, relevant to the strong CP problem, does not require chiral symmetry or fine-tuning, due to exponential bulk fermion profiles.
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There are a variety of other models that discuss S C P CP P within the RS model. However these models do not consider the vanishing of m u m_{u} and rely on extra structure to address the S C P CP P. See, for example Ref. warpedS$CP$P
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For comments on this point of view, see Refs. Creutz:2004fi ; Srednicki:2005wc
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