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arXiv · 2610.07085

Primordial black holes and scalar-induced gravitational waves in the supersymmetric 331 model from SU(6)

Imtiaz Khan·Niamat Ullah·Ali Muhammad·Mussawir Khan·G. Mustafa·Farruh Atamurotov·Ahmadjon Abdujabbarov
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Abstract

We study primordial black holes and scalar-induced gravitational waves in the supersymmetric 331 model based on SU(6). The inflaton continues to be the D-flat radial combination of the 331 symmetry-breaking fields Phi and Phi-bar, fields which are already accountable for the CMB branch. A gauge-invariant contribution that is localised in the Kaehler frame function causes the force in the Einstein frame to decrease over a finite range of the field and results in a temporary nonattractor phase. We calculate the supergravity potential and the radial metric, evolve the background and the Mukhanov-Sasaki modes, and assess the neutral covariant Hessian along the local region. The CMB trajectory is still in agreement with the present observational constraints while the curvature spectrum attains a value of P_zeta ~ 5.38 x 10^-3 when k ~ 1.88 x 10^13 Mpc^-1. The enhanced spectrum leads to a primordial black hole distribution with a mass comparable to that of an asteroid and to a maximum in the scalar-induced gravitational wave signal at a frequency of 3.17 x 10^-2 Hz with Omega_GW,0 h^2 ~ 9.41 x 10^-11. The local geometry also results in a clear hierarchy of sensitivities. The gravitational wave spectrum changes smoothly as one moves along nearby trajectories whereas the Gaussian tail of the primordial black hole distribution changes much more rapidly. The positive eigenvalues of the neutral transverse Hessian remain throughout the reference trajectory. A Gaussian critical collapse calculation yields a reference integrated primordial black hole fraction of near 9.08 x 10^-3, while recent nonlinear studies suggest significant corrections to the statistics of rare collapses at the scalar power achieved here.

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Imtiaz Khan, Niamat Ullah, Ali Muhammad, Mussawir Khan, G. Mustafa, Farruh Atamurotov, Ahmadjon Abdujabbarov. 2026-10-05. Primordial black holes and scalar-induced gravitational waves in the supersymmetric 331 model from SU(6). https://arxiv.org/abs/2610.07085

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