Observational Viability of ${\varphi }^2$-Superpotential Inflation with GUP-Induced Corrections

Abstract

We study a ${\varphi }^2$-superpotential inflationary model within a GUP-inspired quantum-gravity framework. Using horizon thermodynamics, we review the GUP-corrected Friedmann equations obtained by combining the temperature--surface-gravity relation with a modified entropy--area law. Reformulating the dynamics via a superpotential $W(\varphi )$ with $\varphi =\varphi (a)$, we obtain the corresponding slow-roll parameters and derive GUP-modified expressions for the scalar spectral index and the tensor-to-scalar ratio, leading to a deformation of the standard inflationary consistency relation. Adopting the quadratic ansatz $W(\varphi )=\frac{1}{2}{m}^2{\varphi }^2$, we evaluate the observables $(n_s,r)$ and compare them with the Planck 2018 TT, TE, EE + lowE + lensing + BK18 + BAO, DESI + CMB + DESY5, and Planck2018 + ACT + lensing + BK18 + BAO (from DESI) datasets. The analysis shows that, for moderately negative values of the effective GUP parameter $\beta$ and sub-unity values of the phenomenological superpotential parameter $C$, the model predictions can fall within the $68\%$ and $95\%$ confidence regions of current observations. These results indicate that GUP-inspired corrections can shift the $(n_s,r)$ predictions of a quadratic superpotential toward the observationally favored region.

Published in Physica Scripta. DOI: 10.1088/1402-4896/ae88ce