Holography of de sitter space and disordered systems [electronic resource]
- George Konstantinidis Coss.
- Physical description
- 1 online resource.
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|3781 2015 C||In-library use|
- This dissertation is devoted to the study of models that capture the intricate dynamics of two different physical setups: exponentially expanding universes and disordered systems. We explore late time divergences in the perturbative corrections of wavefunctions of interacting light fields on a fixed de Sitter background. The divergences are holographically interpreted as shifts in the conformal weights of dual CFT operators. We then compute functional determinants in a Euclidean CFT for various non-perturbative deformations. According to the dS/CFT correspondence, these functional determinants calculate the late time Hartle-Hawking wavefunctional of asymptotically de Sitter space in higher spin gravity as a function of the profile of the fields in the bulk. Numerical experiments suggest that upon fixing the average of the bulk scalar profile, the wavefunction becomes normalizable in all the other (infinite) directions of the deformations we study. For disordered systems, we investigate the extent to which quiver quantum mechanics models encode the complex dynamics of multicentered black holes in string theory. In a certain limit of the quiver system we display the emergence of a conformal symmetry, which mimics the emergence of conformal symmetry in the near-horizon geometries of extremal black holes. Finally, we take a Newtonian multiparticle limit of the quiver system away from the conformal regime. We study the dynamics of the system numerically to look for signs of ergodicity breaking, cages, and transitions to chaos.
- Publication date
- Submitted to the Department of Physics.
- Thesis (Ph.D.)--Stanford University, 2015.
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