We show that the Wess–Zumino action for the spontaneously broken Weyl (or conformal) symmetry, a.k.a dilaton effective action, in even [Formula: see text] dimensions can be obtained from the Kaluza–Klein dimensional reduction of the Lovelock action in [Formula: see text] dimensions by taking the [Formula: see text] limit, where the dilaton is identified with the metric in the extra dimension. The construction gives an explicit form of the dilaton effective action in any even dimensions.
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Matsumoto et al. (2022) studied this question.
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