Structure of K\"ahler potential for D-term inflationary attractor models

TL;DR

This paper investigates the structure and symmetries of the K"ahler potential in D-term inflation models, proposing extensions for stability and consistency with gauge symmetry, and highlighting issues with large-field inflation.

Contribution

It provides a comprehensive analysis of K"ahler potential conditions for D-term inflation, including symmetry considerations and model extensions for stability and gauge anomaly cancellation.

Findings

Alpha-attractor models with pole inflation are generalized.

Models can describe Coulomb phase and stabilize fields.

Large-field D-term inflation faces issues with super-Planckian masses.

Abstract

Minimal chaotic models of D-term inflation predicts too large primordial tensor perturbations. Although it can be made consistent with observations utilizing higher order terms in the K\"ahler potential, expansion is not controlled in the absence of symmetries. We comprehensively study the conditions of K\"ahler potential for D-term plateau-type potentials and discuss its symmetry. They include the alpha-attractor model with a massive vector supermultiplet and its generalization leading to pole inflation of arbitrary order. We extend the models so that it can describe Coulomb phase, gauge anomaly is cancelled, and fields other than inflaton are stabilized during inflation. We also point out a generic issue for large-field D-term inflation that the masses of the non-inflaton fields tend to exceed the Planck scale.