The IR Obstruction to UV Completion for Dante's Inferno Model with Higher-Dimensional Gauge Theory Origin

TL;DR

This paper examines constraints on large field inflation models derived from higher-dimensional gauge theories, focusing on Dante's Inferno model, and highlights how IR obstructions influence potential forms and inflation dynamics within the model.

Contribution

It analyzes the impact of IR obstructions on the UV completion of Dante's Inferno inflation model and compares its inflationary field range with axion monodromy scenarios.

Findings

IR obstruction constrains the potential form under current observational bounds.

Inflation occurs within the convergence radius of the Taylor expansion in simple potential models.

Dante's Inferno model features a stretched inflaton potential, differing from axion monodromy inflation.

Abstract

We continue our investigation of large field inflation models obtained from higher-dimensional gauge theories, initiated in our previous study arXiv:1407.1951. We focus on Dante's Inferno model which was the most preferred model in our previous analysis. We point out the relevance of the IR obstruction to UV completion, which constrains the form of the potential of the massive vector field, under the current observational upper bound on the tensor to scalar ratio. We also show that in simple examples of the potential arising from DBI action of a D5-brane and that of an NS5-brane that the inflation takes place in the field range which is within the convergence radius of the Taylor expansion. This is in contrast to the well known examples of axion monodromy inflation where inflaton takes place outside the convergence radius of the Taylor expansion. This difference arises from the very essence of Dante's Inferno model that the effective inflaton potential is stretched in the inflaton field direction compared with the potential for the original field.