Bounds on slow roll at the boundary of the landscape

Autor: Sumit K. Garg, Chethan Krishnan, M. Zaid Zaz
Jazyk: angličtina
Rok vydání: 2019
Předmět:
Zdroj: Journal of High Energy Physics, Vol 2019, Iss 3, Pp 1-29 (2019)
Druh dokumentu: article
ISSN: 1029-8479
DOI: 10.1007/JHEP03(2019)029
Popis: 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 ϕ 0 in an N-dimensional field space with V (ϕ0) > 0, there exists a path of monotonically decreasing potential energy to a point ϕ 1 within a path length ≲ O $$ \mathcal{O} $$ (1), such that N ln V ϕ 1 V ϕ 0 ≲ − O 1 $$ \sqrt{N} \ln \frac{V\left({\phi}_1\right)}{V\left({\phi}_0\right)}\lesssim -\mathcal{O}(1) $$ . 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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