Universe as a topological defect

Andrés Anabalón, Steven Willison, and Jorge Zanelli
Phys. Rev. D 77, 044019 – Published 13 February 2008

Abstract

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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  • Received 2 March 2007

DOI:https://doi.org/10.1103/PhysRevD.77.044019

©2008 American Physical Society

Authors & Affiliations

Andrés Anabalón1,2,*, Steven Willison1,†, and Jorge Zanelli1,‡

  • 1Centro de Estudios Científicos (CECS), Casilla 1469 Valdivia, Chile
  • 2Departmento de Física, Universidad de Concepción, Casilla 160-C, Concepción, Chile

  • *anabalon@cecs.cl
  • steve@cecs.cl
  • jz@cecs.cl

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Issue

Vol. 77, Iss. 4 — 15 February 2008

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