Inflationary $\alpha$-Attractor From Type IIB/F Theory

Abstract

We derive an $\alpha =1/3$ - attractor potential of slow-roll inflation in the geometric set-up of three intersecting $D7$ branes under $T^6/Z_N$ type of $C{Y}_3$-compactification within type IIB/F theory with some near-conifold regions. The underlying quadratic structure of the kinetic poles is found to arise from a correction in the Kähler potential when an extra contribution of open string moduli is turned on. While the closed string sector of the moduli spectrum is completely stabilized via quantum corrections of perturbative and non-perturbative origin, the open string sector plays the lead role in driving the inflationary expansion in the radial direction. A generic asymptotic behavior of the inflaton field near the pole boundaries manifests as the slow-roll plateau in canonical field space, which becomes responsible for giving universal predictions of the cosmological parameters. We find that the presence of the open strings near conifold regions brings the realization of pole inflation in the present set up. Finally we compare our results with similar models and discuss the importance of exploring precise values of $\alpha$ in the light of ongoing and forthcoming cosmological surveys.

arXiv comment7 pages, 3 figures

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