Explorations in de Sitter Space and Amorphous Black Hole Bound States in String Theory
This dissertation is split into two distinct halves. The first covers various calculations done in order gain insights on holography in de Sitter space. The dispersion relation of linear perturbations of empty de Sitter space are numerically computed as a function of the location of a hypersurface o...
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ftharvardudash:oai:dash.harvard.edu:1/11125123 2023-05-15T18:23:09+02:00 Explorations in de Sitter Space and Amorphous Black Hole Bound States in String Theory Anous, Tarek Denef, Frederik Strominger, Andrew Sachdev, Subir 2013-09-30 application/pdf http://nrs.harvard.edu/urn-3:HUL.InstRepos:11125123 http://dissertations.umi.com/gsas.harvard:10874 en_US eng Anous, Tarek. 2013. Explorations in de Sitter Space and Amorphous Black Hole Bound States in String Theory. Doctoral dissertation, Harvard University. http://dissertations.umi.com/gsas.harvard:10874 http://nrs.harvard.edu/urn-3:HUL.InstRepos:11125123 Theoretical physics Thesis or Dissertation 2013 ftharvardudash 2022-04-04T12:46:11Z This dissertation is split into two distinct halves. The first covers various calculations done in order gain insights on holography in de Sitter space. The dispersion relation of linear perturbations of empty de Sitter space are numerically computed as a function of the location of a hypersurface on which conformal Dirichlet boundary conditions are imposed. When the hypersurface is near the south pole, the dispersion relation is linear, whereas for a hypersurface near the cosmological horizon, it satisfies that of the incompressible Navier-Stokes equation. This result is shown to hold for non-linear perturbations. We also compute the thermodynamic stability of rotating black holes in \(dS_4\) as a function of their mass and angular momentum. We focus particularly on the rotating Nariai geometry, which is a near horizon limit of the rotating black hole as the outer and cosmological horizons tend towards each other. We study massless scalar fields in these backgrounds and obtain their quasinormal mode spectrum explicitly. We uncover an interesting structure in their two-point functions, namely that they resemble thermal Green's functions of a two-dimensional conformal field theory. The second half of this dissertation deals with the study of multicentered black holes in string theory and their finite temperature extensions. We show that there exist finite temperature single-centered solutions in \(\mathcal{N}=2\) supergravity in asymptotically flat space that admit bound states with BPS probe particles. We compute the existence regions of these bound states as well as their dependence on temperature. We embed these solutions in Fayet-Illiopoulos gauged supergravity and show that bound states persist in asymptotically \(AdS_4\) spacetimes. We make attempts to understand these disordered bound states as amorphous/glassy phases of the dual conformal field theory. Physics Thesis South pole Harvard University: DASH - Digital Access to Scholarship at Harvard Sitter ENVELOPE(10.986,10.986,64.529,64.529) South Pole |
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Harvard University: DASH - Digital Access to Scholarship at Harvard |
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ftharvardudash |
language |
English |
topic |
Theoretical physics |
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Theoretical physics Anous, Tarek Explorations in de Sitter Space and Amorphous Black Hole Bound States in String Theory |
topic_facet |
Theoretical physics |
description |
This dissertation is split into two distinct halves. The first covers various calculations done in order gain insights on holography in de Sitter space. The dispersion relation of linear perturbations of empty de Sitter space are numerically computed as a function of the location of a hypersurface on which conformal Dirichlet boundary conditions are imposed. When the hypersurface is near the south pole, the dispersion relation is linear, whereas for a hypersurface near the cosmological horizon, it satisfies that of the incompressible Navier-Stokes equation. This result is shown to hold for non-linear perturbations. We also compute the thermodynamic stability of rotating black holes in \(dS_4\) as a function of their mass and angular momentum. We focus particularly on the rotating Nariai geometry, which is a near horizon limit of the rotating black hole as the outer and cosmological horizons tend towards each other. We study massless scalar fields in these backgrounds and obtain their quasinormal mode spectrum explicitly. We uncover an interesting structure in their two-point functions, namely that they resemble thermal Green's functions of a two-dimensional conformal field theory. The second half of this dissertation deals with the study of multicentered black holes in string theory and their finite temperature extensions. We show that there exist finite temperature single-centered solutions in \(\mathcal{N}=2\) supergravity in asymptotically flat space that admit bound states with BPS probe particles. We compute the existence regions of these bound states as well as their dependence on temperature. We embed these solutions in Fayet-Illiopoulos gauged supergravity and show that bound states persist in asymptotically \(AdS_4\) spacetimes. We make attempts to understand these disordered bound states as amorphous/glassy phases of the dual conformal field theory. Physics |
author2 |
Denef, Frederik Strominger, Andrew Sachdev, Subir |
format |
Thesis |
author |
Anous, Tarek |
author_facet |
Anous, Tarek |
author_sort |
Anous, Tarek |
title |
Explorations in de Sitter Space and Amorphous Black Hole Bound States in String Theory |
title_short |
Explorations in de Sitter Space and Amorphous Black Hole Bound States in String Theory |
title_full |
Explorations in de Sitter Space and Amorphous Black Hole Bound States in String Theory |
title_fullStr |
Explorations in de Sitter Space and Amorphous Black Hole Bound States in String Theory |
title_full_unstemmed |
Explorations in de Sitter Space and Amorphous Black Hole Bound States in String Theory |
title_sort |
explorations in de sitter space and amorphous black hole bound states in string theory |
publishDate |
2013 |
url |
http://nrs.harvard.edu/urn-3:HUL.InstRepos:11125123 http://dissertations.umi.com/gsas.harvard:10874 |
long_lat |
ENVELOPE(10.986,10.986,64.529,64.529) |
geographic |
Sitter South Pole |
geographic_facet |
Sitter South Pole |
genre |
South pole |
genre_facet |
South pole |
op_relation |
Anous, Tarek. 2013. Explorations in de Sitter Space and Amorphous Black Hole Bound States in String Theory. Doctoral dissertation, Harvard University. http://dissertations.umi.com/gsas.harvard:10874 http://nrs.harvard.edu/urn-3:HUL.InstRepos:11125123 |
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1766202637941735424 |