Alexandria Digital Research Library

Perspectives on Bulk Locality in Gauge/Gravity Duality

Author:
Heemskerk, Idse J.
Degree Grantor:
University of California, Santa Barbara. Physics
Degree Supervisor:
Joseph Polchinski
Place of Publication:
[Santa Barbara, Calif.]
Publisher:
University of California, Santa Barbara
Creation Date:
2012
Issued Date:
2012
Topics:
Physics, General and Physics, Astrophysics
Keywords:
Holographic renormalization
String theory
Black hole
Locality
AdS/CFT
Gauge/gravity
Genres:
Dissertations, Academic and Online resources
Dissertation:
Ph.D.--University of California, Santa Barbara, 2012
Description:

In this thesis we consider the question of how local bulk physics emerges from the perspective of the boundary field theory in the supergravity limit of gauge/gravity duality. We take three different approaches to this problem, which in retrospect correspond to the different ways of thinking about quantum field theory in the bulk. In the S-matrix approach, we study crossing constraints on two-to-two scattering amplitudes, and provide evidence for the conjecture that a large N expansion and a hierarchy in the spectrum of operator dimension are sufficient conditions for a conformal theory to have a local bulk dual. In the path integral approach we attempt to connect the holographic and Wilsonian renormalization groups. An important role for multi-trace operators is discovered. Although locality remains unexplained, several parallels between holographic and Wilsonian renormalization are made and a physical picture of how the bulk dynamics might emerge from the perspective of the renormalization group is sketched. In the last part we consider the construction of the bulk field operators in terms of smeared boundary operators. Aside from extending the previous work on this construction in several directions, we formulate conditions for obtaining the field operators without already knowing the bulk dynamics and address some paradoxes related to a cat inside a black hole.

Physical Description:
1 online resource (215 pages)
Format:
Text
Collection(s):
UCSB electronic theses and dissertations
ARK:
ark:/48907/f39884x4
ISBN:
9781267294487
Catalog System Number:
990037518590203776
Rights:
Inc.icon only.dark In Copyright
Copyright Holder:
Idse Heemskerk
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