# Maximal Supersymmetry and B-Mode Targets

## TL;DR

This paper develops supersymmetry-inspired cosmological models with plateau potentials, consistent with observations and promising targets for future B-mode polarization detection in cosmic microwave background studies.

## Contribution

It introduces a new class of $ ext{α}$-attractor models derived from maximal supersymmetry theories, incorporating a novel two-step stabilization and supersymmetry-breaking process.

## Key findings

- Models have spectral index $n_s$ consistent with data.
- Tensor-to-scalar ratio $r$ around $10^{-2}$ to $10^{-3}$.
- Stable inflationary trajectories related to hyperbolic tessellations.

## Abstract

Extending the work of Ferrara and one of the authors, we present dynamical cosmological models of $\alpha$-attractors with plateau potentials for $3\alpha=1,2,3,4,5,6,7$. These models are motivated by geometric properties of maximally supersymmetric theories: M-theory, superstring theory, and maximal $N = 8$ supergravity. After a consistent truncation of maximal to minimal supersymmetry in a seven-disk geometry, we perform a two-step procedure: 1) we introduce a superpotential, which stabilizes the moduli of the seven-disk geometry in a supersymmetric minimum, 2) we add a cosmological sector with a nilpotent stabilizer, which breaks supersymmetry spontaneously and leads to a desirable class of cosmological attractor models. These models with $n_s$ consistent with observational data, and with tensor-to-scalar ratio $r \approx 10^{-2}- 10^{-3}$, provide natural targets for future B-mode searches. We relate the issue of stability of inflationary trajectories in these models to tessellations of a hyperbolic geometry.