Cosmic Topology of Prism Double-Action Manifolds

TL;DR

This paper analyzes the cosmic microwave background anisotropies in a special class of spherical 3-manifolds called double-action manifolds, identifying spaces that exhibit large-scale anisotropy suppression similar to observations.

Contribution

First analysis of CMB anisotropies in double-action manifolds generated by binary dihedral and cyclic groups, revealing spaces with anisotropy suppression.

Findings

Several spaces show large-scale anisotropy suppression

Two spaces have Dirichlet domains close to symmetric polyhedra

33 different topologies analyzed with group orders up to 180

Abstract

The cosmic microwave background (CMB) anisotropies in spherical 3-spaces with a non-trivial topology are studied. This paper discusses the special class of the so-called double-action manifolds, which are for the first time analysed with respect to their CMB anisotropies. The CMB anisotropies are computed for all prism double-action manifolds generated by a binary dihedral and a cyclic group with a group order of up to 180 leading to 33 different topologies. Several spaces are found which show a suppression of the CMB anisotropies on large angular distances as it is found on the real CMB sky. It turns out that two of these spaces possess Dirichlet domains which are not very far from highly symmetric polyhedra like Platonic or Archimedean ones.