Alexandria Digital Research Library

Aspects of emergent geometry, strings, and branes in gauge/gravity duality

Author:
Dzienkowski, Eric Michael
Degree Grantor:
University of California, Santa Barbara. Physics
Degree Supervisor:
David Berenstein
Place of Publication:
[Santa Barbara, Calif.]
Publisher:
University of California, Santa Barbara
Creation Date:
2015
Issued Date:
2015
Topics:
Theoretical physics
Keywords:
Gauge / gravity duality
AdS / CFT
Emergent Geometry
String Theory
Genres:
Dissertations, Academic and Online resources
Dissertation:
Ph.D.--University of California, Santa Barbara, 2015
Description:

We explore the emergence of locality and geometry in string theories from the perspective of gauge theories using gauge / gravity duality.

First, we explicitly construct open strings stretched between giant gravitons in N=4 SYM. We find that these strings satisfy a relativistic dispersion relation up to three-loop order and conjecture that this should hold to all loop orders. We find the explicit dual solution to the string sigma model and find exact agreement with the geometric nature of the SYM operator and dispersion relation. Using these open strings as probes, we explore the local field theory on the worldvolume of the giant gravitons.

Second, we use classical configurations in holographic matrix models to understand the emergence of geometry from matrix coordinates. We construct an effective Hamiltonian for a probe brane that observes the geometry in a background matrix configuration from which we can construct membranes embedded in three dimensional space. Adding angular momentum to these configurations we are able to observe continuous topology changes. We also study the classical evolution of holographic matrix models to generate a microcanonical ensemble of configurations and study their thermal and chaotic behavior. We argue that these thermal configurations are dual to black holes.

Physical Description:
1 online resource (336 pages)
Format:
Text
Collection(s):
UCSB electronic theses and dissertations
ARK:
ark:/48907/f3w66j0t
ISBN:
9781339218267
Catalog System Number:
990045865300203776
Rights:
Inc.icon only.dark In Copyright
Copyright Holder:
Eric Dzienkowski
File Description
Access: Public access
Dzienkowski_ucsb_0035D_12672.pdf pdf (Portable Document Format)