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arXiv · 2609.02912

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

Narges Rashidi·Maryam Roushan
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Abstract

We study a $\phi^{2}$-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 $W(\phi)$ with $\phi=\phi(a)$, 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 $W(\phi)=\tfrac{1}{2}m^{2}\phi^{2}$, 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.

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Narges Rashidi, Maryam Roushan. 2026-07-13. Observational Viability of $\phi^{2}$-Superpotential Inflation with GUP-Induced Corrections. https://doi.org/10.1088/1402-4896%2Fae88ce

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