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Single-field D-type inflation in the minimal supergravity in light of Planck-ACT-SPT data

Yermek Aldabergenov, Sergei V. Ketov

TL;DR

This work analyzes single-field D-type inflation within the minimal supergravity framework, aiming to align predictions with Planck, ACT, and SPT data. It leverages the e-folds number $N$ as a running variable to simplify the inflaton potential and reconstruct the governing J-function that dictates the D-type potential. The authors present a reconstruction-based approach and a reconstruction-motivated model featuring two Minkowski vacua, deriving predictions for $n_s$, $r$, and $\alpha_s$ that can satisfy current observational bounds. The study shows that minimal supergravity can accommodate precision CMB constraints, with reheating accessible via standard couplings and SUSY breaking requiring a hidden sector.

Abstract

The minimal supergravity framework is applied to a construction of new D-type single-field models of inflation in agreement with precision measurements of the cosmic microwave background radiation by Planck Collaboration, BICEP/Keck Collaboration, Atacama Cosmology Telescope and South Pole Telescope. The inflaton potential, the power spectrum of scalar perturbations, the cosmological observables and the reconstruction procedure can be very simple when using the e-folds as the running variable.

Single-field D-type inflation in the minimal supergravity in light of Planck-ACT-SPT data

TL;DR

This work analyzes single-field D-type inflation within the minimal supergravity framework, aiming to align predictions with Planck, ACT, and SPT data. It leverages the e-folds number as a running variable to simplify the inflaton potential and reconstruct the governing J-function that dictates the D-type potential. The authors present a reconstruction-based approach and a reconstruction-motivated model featuring two Minkowski vacua, deriving predictions for , , and that can satisfy current observational bounds. The study shows that minimal supergravity can accommodate precision CMB constraints, with reheating accessible via standard couplings and SUSY breaking requiring a hidden sector.

Abstract

The minimal supergravity framework is applied to a construction of new D-type single-field models of inflation in agreement with precision measurements of the cosmic microwave background radiation by Planck Collaboration, BICEP/Keck Collaboration, Atacama Cosmology Telescope and South Pole Telescope. The inflaton potential, the power spectrum of scalar perturbations, the cosmological observables and the reconstruction procedure can be very simple when using the e-folds as the running variable.

Paper Structure

This paper contains 6 sections, 68 equations, 2 figures.

Table of Contents

  1. Introduction
  2. Primordial power spectrum and cosmological tilts
  3. Inflation in the minimal supergravity
  4. Reconstruction of $J$-function
  5. Reconstruction-motivated model of inflation
  6. Conclusion

Figures (2)

  • Figure 1: The potential $b_2V/(2g^2)$ from Eq. \ref{['V_gamma']} with $N_0=1$ (blue curve), $N_0=1/2$ (orange) and $N_0=1/5$ (green).
  • Figure 2: The inflationary observables $n_s$, $r$, and $\alpha_s$ obtained from Eq. \ref{['Obs_gamma']} for $N=50\div 60$. The dashed black lines show the results of numerical integration. The observational constraints are taken from Planck+ACT data ACT:2025tim.