Thomas E. Hartman
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View article: Rademacher expansion of modular integrals
Rademacher expansion of modular integrals Open
We develop a method to evaluate integrals of non-holomorphic modular functions over the fundamental domain of the torus with modular parameter \tau analytically. It proceeds in two steps: first the integral is transformed to a Lorentzian…
View article: Statistics of three-dimensional black holes from Liouville line defects
Statistics of three-dimensional black holes from Liouville line defects Open
Black holes and wormholes in the gravitational path integral can be used to calculate the statistics of heavy operators. An explicit example in higher dimensions is provided by thin shells of matter. We study these solutions in 3D gravity,…
View article: Coarse graining pure states in AdS/CFT
Coarse graining pure states in AdS/CFT Open
A bstract We construct new Euclidean wormhole solutions in AdS d +1 and discuss their role in UV-complete theories, without ensemble averaging. The geometries are interpreted as overlaps of GHZ-like entangled states, which arise naturally …
View article: Toward random tensor networks and holographic codes in CFT
Toward random tensor networks and holographic codes in CFT Open
A bstract In holographic CFTs satisfying eigenstate thermalization, there is a regime where the operator product expansion can be approximated by a random tensor network. The geometry of the tensor network corresponds to a spatial slice in…
View article: Toward random tensor networks and holographic codes in CFT
Toward random tensor networks and holographic codes in CFT Open
In holographic CFTs satisfying eigenstate thermalization, there is a regime where the operator product expansion can be approximated by a random tensor network. The geometry of the tensor network corresponds to a spatial slice in the holog…
View article: Semiclassical 3D gravity as an average of large-c CFTs
Semiclassical 3D gravity as an average of large-c CFTs Open
A bstract A two-dimensional CFT dual to a semiclassical theory of gravity in three dimensions must have a large central charge c and a sparse low energy spectrum. This constrains the OPE coefficients and density of states of the CFT via th…
View article: Focusing bounds for CFT correlators and the S-matrix
Focusing bounds for CFT correlators and the S-matrix Open
The focusing theorem in General Relativity underlies causality, singularity theorems, entropy inequalities, and more. In AdS/CFT, we show that focusing in the bulk leads to a bound on CFT $n$-point functions that is generally stronger than…
View article: Report of the Snowmass 2021 Theory Frontier Topical Group on Quantum Information Science
Report of the Snowmass 2021 Theory Frontier Topical Group on Quantum Information Science Open
We summarize current and future applications of quantum information science to theoretical high energy physics. Three main themes are identified and discussed; quantum simulation, quantum sensors and formal aspects of the connection betwee…
View article: Coarse graining pure states in AdS/CFT
Coarse graining pure states in AdS/CFT Open
We construct new Euclidean wormhole solutions in AdS(d+1) and discuss their role in UV-complete theories, without ensemble averaging. The geometries are interpreted as overlaps of GHZ-like entangled states, which arise naturally from coars…
View article: Snowmass white paper: Quantum information in quantum field theory and quantum gravity
Snowmass white paper: Quantum information in quantum field theory and quantum gravity Open
We present a summary of recent progress and remaining challenges in applying the methods and ideas of quantum information theory to the study of quantum field theory and quantum gravity. Important topics and themes include: entanglement en…
View article: Snowmass white paper: Quantum information in quantum field theory and\n quantum gravity
Snowmass white paper: Quantum information in quantum field theory and\n quantum gravity Open
We present a summary of recent progress and remaining challenges in applying\nthe methods and ideas of quantum information theory to the study of quantum\nfield theory and quantum gravity. Important topics and themes include:\nentanglement…
View article: Semiclassical 3D gravity as an average of large-c CFTs
Semiclassical 3D gravity as an average of large-c CFTs Open
A two-dimensional CFT dual to a semiclassical theory of gravity in three dimensions must have a large central charge $c$ and a sparse low energy spectrum. This constrains the OPE coefficients and density of states of the CFT via the confor…
View article: Snowmass White Paper: The Analytic Conformal Bootstrap
Snowmass White Paper: The Analytic Conformal Bootstrap Open
The analytic conformal bootstrap is an array of techniques to characterize, constrain, and solve strongly interacting quantum field theories using symmetries, causality, unitarity, and other general principles. In the last decade, bolstere…
View article: Snowmass White Paper: Quantum Aspects of Black Holes and the Emergence of Spacetime
Snowmass White Paper: Quantum Aspects of Black Holes and the Emergence of Spacetime Open
Black holes provide a window into the microscopic structure of spacetime in quantum gravity. Recently the quantum information contained in Hawking radiation has been calculated, verifying a key aspect of the consistency of black hole evapo…