Orbifold Line Topology and the Cosmic Microwave Background

preprint2013arXivOpen access

Abstract

We extend our study of a universe with a non-classical stringy topology, and consider an orbifold line topology, R×R2/Zp\mathbb{R}\times\mathbb{R}^2/\mathbb{Z}_p. This topology has a fixed line and identifies each point in space with p−1p-1 other points. An observable imprint of an orbifold line on the CMB is the appearance of up to (p−1)/2(p-1)/2 pairs of matching circles. Searching the WMAP data for matching circles, we can rule out an orbifold line topology with pp up to 10, except for p=8p=8. While the significance of the peak at p=8p=8 varies between data releases of WMAP, it does not appear in Planck data, enabling us to rule out p=8p=8 as well.

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