General Relativity from a gauged WZW term

TL;DR

This paper demonstrates how four-dimensional General Relativity can be derived from a five-dimensional gauged Wess-Zumino-Witten term originating from Einstein-Hilbert and Gauss-Bonnet actions.

Contribution

It shows the emergence of 4D General Relativity equations from a 5D gauged WZW term constructed via specific coefficients in Einstein-Hilbert and Gauss-Bonnet Lagrangians.

Findings

Gauged WZW term derived from 5D Einstein-Hilbert and Gauss-Bonnet actions.

Equations of 4D General Relativity obtained from the 5D construction.

Explicit connection between higher-dimensional topological terms and 4D gravity.

Abstract

In this paper two things are done. First it is shown how a four dimensional gauged Wess-Zumino-Witten term arises from the five dimensional Einstein-Hilbert plus Gauss-Bonnet lagrangian with a special choice of the coefficients. Second, the way in which the equations of motion of four-dimensional General Relativity arise is exhibited.