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

説明

<jats:title>Abstract</jats:title> <jats:p>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 <jats:italic>T<jats:sup>μνλρ</jats:sup> </jats:italic> squared term proposed as the leading quantum correction inspired by superstring theory. The (<jats:italic>R</jats:italic> + 1/6<jats:italic>m</jats:italic> <jats:sup>2</jats:sup> <jats:italic>R</jats:italic> <jats:sup>2</jats:sup> - <jats:italic>β</jats:italic>/8<jats:italic>m</jats:italic> <jats:sup>6</jats:sup> <jats:italic>T</jats:italic> <jats:sup>2</jats:sup>) model under consideration has two parameters: the inflaton mass m and the string-inspired positive parameter <jats:italic>β</jats:italic>. 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 <jats:italic>β</jats:italic> by demanding the absence of ghosts and consistency of the derived inflationary observables with the measurements of the cosmic microwave background radiation.</jats:p>

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