Abstract
We study the embedding of the monodromy inflation mechanism by E. Silverstein and A. Westphal (2008) in a concrete compactification setting. To that end, we look for an appropriate vacuum of type IIA supergravity, corresponding to the minimum of the inflaton potential. We prove a no-go theorem on the existence of such a vacuum, using ten-dimensional equations of motion. Anti-de Sitter and Minkowski vacua are ruled out; de Sitter vacua are not excluded, but have a lower bound on their cosmological constant which is too high for phenomenology.
Highlights
The recent cosmological observations [1, 2, 3, 4, 5, 6, 7, 8] have lead an important activity on the theoretical side
We study the embedding of the monodromy inflation mechanism by E
This no-go theorem first states that anti-de Sitter and Minkowski vacua are completely excluded; secondly, a de Sitter vacuum is still allowed, but there is a lower bound on the value of its cosmological constant (4.45), which is too high for any phenomenological purpose
Summary
The recent cosmological observations [1, 2, 3, 4, 5, 6, 7, 8] (see [9, 10, 11]) have lead an important activity on the theoretical side. This no-go theorem first states that anti-de Sitter and Minkowski vacua are completely excluded; secondly, a de Sitter vacuum is still allowed, but there is a lower bound on the value of its cosmological constant (4.45), which is too high for any phenomenological purpose. This leads us to conclude negatively on any embedding of this inflation mechanism in a concrete compactification setting, at least in a phenomenologically viable manner. These differences amount to different assumptions, i.e. ranges of validity, of the no-go theorems; it is interesting that the conclusions remain similar
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