Super Heavy Dark Matter Anisotropies from D-particles in the Early Universe

TL;DR

This paper proposes a mechanism where D-particle recoil during the early universe's inflationary period induces anisotropies in superheavy dark matter, with calculations based on world-sheet Liouville string theory and a regulated de Sitter space.

Contribution

It introduces a novel string-theoretic approach to generate dark matter anisotropies via D-particle recoil effects during inflation.

Findings

Anisotropies are proportional to D-particle recoil velocity and density.

A regulated de Sitter space model allows for consistent inflation exit.

Particle number densities are computed using WKB methods.

Abstract

We discuss a way of producing anisotropies in the spectrum of superheavy Dark matter, which are due to the distortion of the inflationary space time induced by the recoil of D-particles upon their scattering with ordinary string matter in the Early Universe. We calculate such distortions by world-sheet Liouville string theory (perturbative) methods. The resulting anisotropies are found to be proportional to the average recoil velocity and density of the D-particles. In our analysis we employ a regulated version of de Sitter space, allowing for graceful exit from inflation. This guarantees the asymptotic flatness of the space time, as required for a consistent interpretation, within an effective field theory context, of the associated Bogolubov coefficients as particle number densities. The latter are computed by standard WKB methods.