D3/D7 Inflationary Model and M-theory

TL;DR

This paper proposes a D3/D7 brane inflation model within string theory, where brane dynamics and instanton effects drive slow-roll inflation and relate to M-theory compactifications.

Contribution

It introduces a novel D3/D7 inflationary scenario with magnetic flux, linking brane motion, instanton resolution, and M-theory embedding.

Findings

Realizes slow-roll inflation via D3/D7 brane dynamics.

Connects instanton singularity resolution to cosmological constant.

Suggests embedding into compactified M-theory.

Abstract

A proposal is made for a cosmological D3/D7 model with a constant magnetic flux along the D7 world-volume. It describes an N=2 gauge model with Fayet-Iliopoulos terms and the potential of the hybrid P-term inflation. The motion of the D3-brane towards D7 in a phase with spontaneously broken supersymmetry provides a period of slow-roll inflation in the de Sitter valley, the role of the inflaton being played by the distance between D3 and D7-branes. After tachyon condensation a supersymmetric ground state is formed: a D3/D7 bound state corresponding to an Abelian non-linear (non-commutative) instanton. In this model the existence of a non-vanishing cosmological constant is associated with the resolution of the instanton singularity. We discuss a possible embedding of this model into a compactified M-theory setup.