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note
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If considering warped extra dimensions, it is possible to get any value of four-dimensional cosmological constant by tuning the warp factor without a large potential in the bulk [10], thus avoiding the problem discussed above. However, in this case, four-dimensional cosmological constant is actually only an integration constant and cannot be determined from the model parameter. We think this seems not a very good feature so we do not consider this possibility further in this work while this possibility of course deserves further detailed consideration.
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