Abstract
We present strong evidence that the tree level slow roll bounds of arXiv:1807.05193 and arXiv:1810.05506 are valid, even when the tachyon has overlap with the volume of the cycle wrapped by the orientifold. This extends our previous results in the volume-dilaton subspace to a semi-universal modulus. Emboldened by this and other observations, we investigate what it means to have a bound on (generalized) slow roll in a multi-field landscape. We argue that for any point ϕ0 in an N-dimensional field space with V (ϕ0) > 0, there exists a path of monotonically decreasing potential energy to a point ϕ1 within a path length ≲ \( \mathcal{O} \)(1), such that \( \sqrt{N} \ln \frac{V\left({\phi}_1\right)}{V\left({\phi}_0\right)}\lesssim -\mathcal{O}(1) \). The previous de Sitter swampland bounds are specific ways to realize this stringent non-local constraint on field space, but we show that it also incorporates (for example) the scenario where both slow roll parameters are intermediate-valued and the Universe undergoes a small number of e-folds, as in the Type IIA set up of arXiv:1310.8300. Our observations are in the context of tree level constructions, so we take the conservative viewpoint that it is a characterization of the classical “boundary” of the string landscape. To emphasize this, we argue that these bounds can be viewed as a type of Dine-Seiberg statement.
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Garg, S.K., Krishnan, C. & Zaz, M.Z. Bounds on slow roll at the boundary of the landscape. J. High Energ. Phys. 2019, 29 (2019). https://doi.org/10.1007/JHEP03(2019)029
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DOI: https://doi.org/10.1007/JHEP03(2019)029