Garg, SK and Krishnan, C and Zaz, MZ (2019) Bounds on slow roll at the boundary of the landscape. In: Journal of High Energy Physics, 2019 (3).
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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 � 0 in an N-dimensional field space with V (�0) > 0, there exists a path of monotonically decreasing potential energy to a point � 1 within a path length � O(1), such that NlnV(�1)V(�0)��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. © 2019, The Author(s).
| Item Type: | Journal Article |
|---|---|
| Publication: | Journal of High Energy Physics |
| Publisher: | Springer Verlag |
| Additional Information: | Copyright for this article belongs to Springer Verlag |
| Department/Centre: | Division of Physical & Mathematical Sciences > Centre for High Energy Physics |
| Date Deposited: | 11 Apr 2019 11:18 |
| Last Modified: | 11 Apr 2019 11:18 |
| URI: | http://eprints.iisc.ac.in/id/eprint/62072 |
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