Dilaton invading from infinitesimal extra dimension

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.

10 pages, v2: reference added

References in corpus (2)

• On Taking the $D\to 4$ limit of Gauss-Bonnet Gravity: Theory and Solutions
• Irreducible forms for the metric variations of the action terms of sixth-order gravity and approximated stress-energy tensor

Cited by in corpus (3)

• $a$-Anomalous Interactions of the Holographic Dilaton
• General Solutions of Einstein Gravity at $D\to 2$
• SN1987A cooling due to Plasmon-Plasmon scattering in the Randall-Sundrum Model