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D-brane Potentials in the Warped Resolved Conifold and Natural Inflation

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abstract

In this paper we obtain a model of Natural Inflation from string theory with a Planckian decay constant. We investigate D-brane dynamics in the background of the warped resolved conifold (WRC) throat approximation of Type IIB string compactifications on Calabi-Yau manifolds. When we glue the throat to a compact bulk Calabi-Yau, we generate a D-brane potential which is a solution to the Laplace equation on the resolved conifold. We can exactly solve this equation, including dependence on the angular coordinates. The solutions are valid down to the tip of the resolved conifold, which is not the case for the more commonly used deformed conifold. This allows us to exploit the effect of the warping, which is strongest at the tip. We inflate near the tip using an angular coordinate of a D5-brane in the WRC which has a discrete shift symmetry, and feels a cosine potential, giving us a model of Natural Inflation, from which it is possible to get a Planckian decay constant whilst maintaining control over the backreaction. This is because the decay constant for a wrapped brane contains powers of the warp factor, and so can be made large, while the wrapping parameter can be kept small enough so that backreaction is under control.

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representative citing papers

Fat Inflatons, Large Turns and the $\eta$-problem

hep-th · 2019-08-26 · conditional · novelty 5.0

Heavy scalar fields can still drive slow-roll inflation if the trajectory turns rapidly, evading the eta-problem; a D5-brane in a warped throat provides a concrete realization.

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  • Fat Inflatons, Large Turns and the $\eta$-problem hep-th · 2019-08-26 · conditional · none · ref 25 · internal anchor

    Heavy scalar fields can still drive slow-roll inflation if the trajectory turns rapidly, evading the eta-problem; a D5-brane in a warped throat provides a concrete realization.