The Universe as a topological defect

Details The Universe as a topological defect The Universe as a topological defect

2007-02-26

arxiv.org/abs/hep-th/0702192v3

Phys.Rev.D77:044019,2008

Physics

High Energy Physics

High Energy Physics - Theory

18 pages, LaTex, 4 figures. Title of the published version changed to "Universe as a Topological defect" by the journal

Scientific paper

10.1103/PhysRevD.77.044019

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.

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