# Avoiding instabilities in antisymmetric tensor field driven inflation

## TL;DR

This paper proposes a new approach to antisymmetric tensor field inflation models that eliminates ghost instabilities by introducing a generalized kinetic term with a novel gauge symmetry, ensuring stable perturbations.

## Contribution

It introduces the most general kinetic term for antisymmetric tensor fields that avoids ghost instabilities in inflation models by adding a gauge symmetry violating term.

## Key findings

- Ghost instabilities are avoided in the unperturbed FRW background.
- Conditions for perturbations to be free of gradient instability are derived.
- The generalized kinetic term stabilizes antisymmetric tensor field inflation models.

## Abstract

Models of inflation with antisymmetric tensor studied in the past are plagued with ghost instability even in an unperturbed FRW background. We show that it is possible to avoid ghosts in an unperturbed FRW background by considering the most general kinetic term for antisymmetric tensor field. The kinetic part acquires a new gauge symmetry violating term whose effect on perturbed modes is to prevent the appearance of nondynamical modes, and thus avoid ghosts. For completeness, we perform a check for gradient instability and derive the conditions for perturbations to be free of gradient instability.