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 UV-completion to viable inflation models. We modify Starobinsky model by adding Bel-Robinson tensor T μνλρ squared term proposed as leading correction inspired superstring theory. The ( R + 1/6 m 2 - β /8 6 ) under consideration has two parameters: inflaton mass and string-inspired positive parameter . derive equations motion in Friedmann-Lemaitre-Robertson-Walker universe investigate its solutions. find physical bounds on value demanding absence ghosts consistency derived inflationary observables with measurements cosmic microwave background radiation.