Double-copy towards supergravity inflation with $\alpha$-attractor models
Abstract
Key to the simplicity of supergravity -attractor models of inflation are Volkov-Akulov fermions, often in the form of nilpotent superfields. Here we explore the possibility of using the double-copy to construct theories of Dirac-Born-Infeld-Volkov-Akulov (DBIVA) coupled to supergravity. A color-dual bootstrap admits scattering amplitudes involving pions and vectors through five-point tree-level order by order in mass-dimension, but requires the introduction of a operator. Gauge theories with this operator were recently found to require a tower of higher-derivative operators to be compatible with color-kinematics duality. Adjoint-type double-copy construction at its most conservative seems to require the UV completion of DBIVA + pure Poincar\'{e} supergravity scattering amplitudes to a family of theories involving DBIVA-like particles coupled to Weyl-Einstein supergravity. We also point out an alternative solution to color-dual gauged pions that allows adjoint double-copy without a tower of higher derivative corrections but at the cost of exchange symmetry between scalars.
Cite
@article{arxiv.2211.04441,
title = {Double-copy towards supergravity inflation with $\alpha$-attractor models},
author = {John Joseph M. Carrasco and Matthew Lewandowski and Nicolas H. Pavao},
journal= {arXiv preprint arXiv:2211.04441},
year = {2023}
}
Comments
v2: Matches version accepted for publication, 37 pages, 3 figures, 4 tables. v1: Ancillary data available at this url: https://github.com/drjjmc/colorDualPions