Bipolar Harmonic encoding of CMB correlation patterns

TL;DR

This paper investigates how deviations from statistical isotropy in the CMB can be characterized using Bipolar harmonic formalism, aiding in distinguishing between different anisotropic cosmological models and topologies.

Contribution

It introduces a framework for analyzing CMB correlation patterns through Bipolar harmonic symmetries to differentiate various anisotropic models and cosmic topologies.

Findings

Bipolar harmonic quantifiers can distinguish between anisotropic models.

The formalism provides a spectroscopic tool for cosmic topology discrimination.

Analysis of correlation patterns reveals signatures of primordial magnetic fields.

Abstract

Deviations from statistical isotropy can be modeled in various ways, for instance, anisotropic cosmological models (Bianchi models), compact topologies and presence of primordial magnetic field. Signature of anisotropy manifests itself in CMB correlation patterns. Here we explore the symmetries of the correlation function and its implications on the observable measures constructed within the Bipolar harmonic formalism for these variety of models. Different quantifiers within the Bipolar harmonic representation are used to distinguish between plausible models of breakdown of statistical isotropy and as a spectroscopic tool for discriminating between distinct cosmic topology.