Modernes C++: Concurrency meistern

Grimm, Rainer

doi:10.3139/9783446456655

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Distance Conjecture1

Introduction1

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2019

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“…If we start from any point in the moduli space and go to a different point at a large geodesic distance away ∆φ ≫ 1, towers of particles with masses m ∼ e −a∆φ descend from the ultraviolet with some O(1) constant a > 0. The conjecture has been extensively tested in string theory, and there are results establishing its validity in general settings [54,64,67,68]. The critical value of ∆φ at the onset of the exponential behaviour has been studied and quantified in [56,57,59,62,63,66,82].…”

Section: Distance Conjecturementioning

confidence: 99%

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Distance and de Sitter conjectures on the Swampland

et al. 2019

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Among Swampland conditions, the distance conjecture characterizes the geometry of scalar fields and the de Sitter conjecture constrains allowed potentials on it. We point out a connection between the distance conjecture and a refined version of the de Sitter conjecture in any parametrically controlled regime of string theory by using Bousso's covariant entropy bound. The refined version turns out to evade all counter-examples at scalar potential maxima that have been raised. We comment on the relation of our result to the Dine-Seiberg problem.

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Section: Distance Conjecturementioning

confidence: 99%

“…descend from the ultraviolet if the change ∆φ is trans-Planckian. 5 This conjecture has been tested to significant extent in string theory [54][55][56][57][58][59][60][61][62][63][64][65][66][67][68], and has been generalized to cases with non-trivial potentials V (φ) [56,57].…”

Section: Introductionmentioning

confidence: 99%