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arXiv · 2202.13533

Dilaton invading from infinitesimal extra dimension

Minoru Matsumoto·Yu Nakayama
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Abstract

We show that the Wess-Zumino action for the spontaneously broken Weyl (or conformal) symmetry, a.k.a dilaton effective action, in even $D$ dimensions can be obtained from the Kaluza-Klein dimensional reduction of the Lovelock action in $D+\epsilon$ dimensions by taking the $\epsilon \to 0$ 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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Minoru Matsumoto, Yu Nakayama. 2022-02-28. Dilaton invading from infinitesimal extra dimension. https://doi.org/10.1142/s0217732322500808

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