Universe as a topological defect

Andrés Anabalón, Steven Willison, Jorge Zanelli

Research output: Contribution to journalArticlepeer-review

14 Scopus citations


Four-dimensional Einstein's general relativity is shown to arise from a gauge theory for the conformal group, SO(4,2). The theory is constructed from a topological dimensional reduction of the six-dimensional Euler density integrated over a manifold with a four-dimensional topological defect. The resulting action is a four-dimensional theory defined by a gauged Wess-Zumino-Witten term. An ansatz is found which reduces the full set of field equations to those of Einstein's general relativity. When the same ansatz is replaced in the action, the gauged WZW term reduces to the Einstein-Hilbert action. Furthermore, the unique coupling constant in the action can be shown to take integer values if the fields are allowed to be analytically continued to complex values.

Original languageEnglish
Article number044019
JournalPhysical Review D - Particles, Fields, Gravitation and Cosmology
Issue number4
StatePublished - 13 Feb 2008
Externally publishedYes


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