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.

arXiv comment10 pages, v2: reference added

References in corpus (20)

• On Renormalization Group Flows in Four Dimensions
• Einstein-Gauss-Bonnet gravity in 4-dimensional space-time
• Geometric Classification of Conformal Anomalies in Arbitrary Dimensions
• The Constraints of Conformal Symmetry on RG Flows
• Horndeski Gravity as $D\to 4$ Limit of Gauss-Bonnet
• Weyl Cohomology and the Effective Action for Conformal Anomalies
• The $a$-theorem and the Asymptotics of 4D Quantum Field Theory
• On Taking the $D\to 4$ limit of Gauss-Bonnet Gravity: Theory and Solutions
• Galileons from Lovelock actions
• Effective scalar-tensor description of regularized Lovelock gravity in four dimensions
• On renormalization group flows and the a-theorem in 6d
• Anomalies, Renormalization Group Flows, and the a-Theorem in Six-Dimensional (1,0) Theories
• Universal Entanglement and Boundary Geometry in Conformal Field Theory
• CP-violating CFT and trace anomaly
• RG flows in d dimensions, the dilaton effective action, and the a-theorem
• Irreducible forms for the metric variations of the action terms of sixth-order gravity and approximated stress-energy tensor
• $D\to 4$ Einstein-Gauss-Bonnet Gravity and Beyond
• CP-violating super Weyl anomaly
• The Dilaton Wess-Zumino Action in 6 Dimensions from Weyl Gauging: Local Anomalies and Trace Relations
• The dilaton Wess-Zumino action in higher dimensions

Cited by in corpus (3)

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• SN1987A cooling due to Plasmon-Plasmon scattering in the Randall-Sundrum Model