Aspects of quantum gravity in AdS3/CFT2
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2019
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Abstract
The quest for finding a unifying theory for both quantum theory and gravity lies at the
heart of much of the research in high energy physics. Although recent years have witnessed
spectacular experimental confirmation of our expectations from Quantum Field Theory
and General Relativity, the question of unification remains as a major open problem. In
this context, the perturbative aspects of quantum black holes represent arguably the best
of our knowledge of how to proceed in this pursue.
In this thesis we investigate certain aspects of quantum gravity in 2 + 1 dimensional
anti-de Sitter space (AdS3), and its connection to Conformal field theories in 1 + 1 dimensions (CFT2), via the AdS/CFT correspondence.
We study the thermodynamics properties of higher spin black holes. By focusing on
the spin-4 case, we show that black holes carrying higher spin charges display a rich phase
diagram in the grand canonical ensemble, including phase transitions of the Hawking-Page
type, first order inter-black hole transitions, and a second order critical point.
We investigate recent proposals on the connection between bulk codimension-1 volumes and computational complexity in the CFT. Using Tensor Networks we provide
concrete evidence of why these bulk volumes are related to the number of gates in a
quantum circuit, and exhibit their topological properties. We provide a novel formula
to compute this complexity directly in terms of entanglement entropies, using techniques
from Kinematic space.
We then move in a slightly different direction, and study the quantum properties of
black holes via de Functional Renormalisation Group prescription coming from Asymptotic safety. We avoid the arbitrary scale setting by restricting to a narrower window in
parameter space, where only Newton’s coupling and the cosmological constant are allowed
to vary. By one assumption on the properties of Newton’s coupling, we find black hole
solutions explicitly. We explore their thermodynamical properties, and discover that very
large black holes exhibit very unusual features.The quest for finding a unifying theory for both quantum theory and gravity lies at the
heart of much of the research in high energy physics. Although recent years have witnessed
spectacular experimental confirmation of our expectations from Quantum Field Theory
and General Relativity, the question of unification remains as a major open problem. In
this context, the perturbative aspects of quantum black holes represent arguably the best
of our knowledge of how to proceed in this pursue.
In this thesis we investigate certain aspects of quantum gravity in 2 + 1 dimensional
anti-de Sitter space (AdS3), and its connection to Conformal field theories in 1 + 1 dimensions (CFT2), via the AdS/CFT correspondence.
We study the thermodynamics properties of higher spin black holes. By focusing on
the spin-4 case, we show that black holes carrying higher spin charges display a rich phase
diagram in the grand canonical ensemble, including phase transitions of the Hawking-Page
type, first order inter-black hole transitions, and a second order critical point.
We investigate recent proposals on the connection between bulk codimension-1 volumes and computational complexity in the CFT. Using Tensor Networks we provide
concrete evidence of why these bulk volumes are related to the number of gates in a
quantum circuit, and exhibit their topological properties. We provide a novel formula
to compute this complexity directly in terms of entanglement entropies, using techniques
from Kinematic space.
We then move in a slightly different direction, and study the quantum properties of
black holes via de Functional Renormalisation Group prescription coming from Asymptotic safety. We avoid the arbitrary scale setting by restricting to a narrower window in
parameter space, where only Newton’s coupling and the cosmological constant are allowed
to vary. By one assumption on the properties of Newton’s coupling, we find black hole
solutions explicitly. We explore their thermodynamical properties, and discover that very
large black holes exhibit very unusual features.The quest for finding a unifying theory for both quantum theory and gravity lies at the
heart of much of the research in high energy physics. Although recent years have witnessed
spectacular experimental confirmation of our expectations from Quantum Field Theory
and General Relativity, the question of unification remains as a major open problem. In
this context, the perturbative aspects of quantum black holes represent arguably the best
of our knowledge of how to proceed in this pursue.
In this thesis we investigate certain aspects of quantum gravity in 2 + 1 dimensional
anti-de Sitter space (AdS3), and its connection to Conformal field theories in 1 + 1 dimensions (CFT2), via the AdS/CFT correspondence.
We study the thermodynamics properties of higher spin black holes. By focusing on
the spin-4 case, we show that black holes carrying higher spin charges display a rich phase
diagram in the grand canonical ensemble, including phase transitions of the Hawking-Page
type, first order inter-black hole transitions, and a second order critical point.
We investigate recent proposals on the connection between bulk codimension-1 volumes and computational complexity in the CFT. Using Tensor Networks we provide
concrete evidence of why these bulk volumes are related to the number of gates in a
quantum circuit, and exhibit their topological properties. We provide a novel formula
to compute this complexity directly in terms of entanglement entropies, using techniques
from Kinematic space.
We then move in a slightly different direction, and study the quantum properties of
black holes via de Functional Renormalisation Group prescription coming from Asymptotic safety. We avoid the arbitrary scale setting by restricting to a narrower window in
parameter space, where only Newton’s coupling and the cosmological constant are allowed
to vary. By one assumption on the properties of Newton’s coupling, we find black hole
solutions explicitly. We explore their thermodynamical properties, and discover that very
large black holes exhibit very unusual features.
Description
Tesis (Ph.D. in Physics)--Pontificia Universidad Católica de Chile, 2019
Tesis (naturwissenschaftlichen Doktorgrades)--Bayerische Julius-Maximilians-Universität Würzburg, 2019
Tesis (naturwissenschaftlichen Doktorgrades)--Bayerische Julius-Maximilians-Universität Würzburg, 2019