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The Accelerating Universe, the Landscape, and the Swampland

Abstract

The accelerating expansion of the universe is a portal for us to understand the physics at the very fundamental level. It’s a phenomena that is apparently IR but intrinsically UV. In this dissertation we investigate various aspects of the accelerating universe in the context of the string landscape and swampland. In the first part of the dissertation, we investigate if the observed small and nearly scale-invariant primordial cosmic perturbation is typical in the landscape of vacua after imposing anthropic selections on them. We propose a scenario that combines new-inflation-type models with the landscape, in which our universe had been trapped at a meta-stable vacuum and underwent a precedent inflation. We argue that the initial inflaton field value is typically non-zero because of the quantum fluctuation created during the precedent inflation. Imposing anthropic constraint on the initial condition, together with certain distributions of inflation model parameters that are physically well- motivated, makes the observed small and nearly scale-invariant spectrum typical. In a latter part of the dissertation, we discuss the quintessence model building in supergravity, in light of the recently proposed de Sitter swampland conjecture. Particularly, the conjecture claims that the scalar potential V in any consistent theory of quantum gravity should satisfy the constraint |∇V | ≥ cV where c is a positive number of order one. If true, positive cosmological constant (even metastable one) cannot be obtained in string theory and dark energy needs to be described by an evolving scalar field, i.e. quintessence, within supergravity. We demonstrate that by imposing a shift symmetry on the Kahler potential, one can embed any quintessence models into supergravity while avoiding the fifth force constraint and protecting the flatness of the quintessence potential from supersymmetry breaking, which are the two main obstacles when constructing quintessence models in supergravity. In addition, the small energy scale of quintessence is technically natural in this setup. In the last part of the dissertation, we discuss the phenomenological implications of swampland conjectures on both inflation and dark energy, using the fact that the conjectures are universal throughout the whole field space. We show that the refined de Sitter conjecture, along with multi-field inflation, opens up the opportunity for observations to determine if the dark energy equation of state deviates from that of a cosmological constant.

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