Inflation on Fractional Branes: D--Brane Inflation as D--Term Inflation

TL;DR

This paper presents a D-brane inflation model where inflation is driven by the dynamics of fractional D3 branes on a specific compact space, linking bulk D-brane inflation to D-term inflation on the brane.

Contribution

It introduces a novel D-brane inflation scenario involving fractional D3 branes on a $T^2 \times K3$ space, connecting bulk inflation to D-term inflation mechanisms.

Findings

Inflation is caused by the resolved orbifold singularity of K3.

The model links interbrane distances to inflaton and trigger fields.

Post-inflation, branes reach a supersymmetric configuration.

Abstract

We describe a D--brane inflation model which consists of two fractional D3 branes separated on a transverse $T^2 \times K3$. Inflation arises due to the resolved orbifold singularity of $K3$ which corresponds to an anomalous D--term on the brane. We show that D--brane inflation in the bulk corresponds to D--term inflation on the brane. The inflaton and the trigger field parametrize the interbrane distances on $T^2$ an $K3$ respectively. After inflation the branes reach a supersymmetric configuration in which they are at the origin of $T^2$ but separated along the $K3$ directions.