On the superstring-inspired quantum correction to the Starobinsky model of inflation

Abstract

Superstring/M-theory is the theory of quantum gravity that can provide the UV-completion to viable inflation models. We modify the Starobinsky inflation model by adding the Bel-Robinson tensor $T^{\mu \nu \lambda \rho }$ squared term proposed as the leading quantum correction inspired by superstring theory. The $(R+\frac{1}{6m^2}{R}^2-\frac{\beta }{8m^6}{T}^2)$ model under consideration has two parameters: the inflaton mass $m$ and the string-inspired positive parameter $\beta$. We derive the equations of motion in the Friedmann-Lemaitre-Robertson-Walker universe and investigate its solutions. We find the physical bounds on the value of the parameter $\beta$ by demanding the absence of ghosts and consistency of the derived inflationary observables with the measurements of the cosmic microwave background radiation.

arXiv comment24 pages, 5 figures, LaTeX; the version to appear in JCAP

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