James Sully
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View article: A Solvable Model of Neural Scaling Laws
A Solvable Model of Neural Scaling Laws Open
Large language models with a huge number of parameters, when trained on near internet-sized number of tokens, have been empirically shown to obey neural scaling laws: specifically, their performance behaves predictably as a power law in ei…
View article: Holographic BCFT Spectra from Brane Mergers
Holographic BCFT Spectra from Brane Mergers Open
We use holography to study the spectra of boundary conformal field theories (BCFTs). To do so, we consider a 2-dimensional Euclidean BCFT with two circular boundaries that correspond to dynamical end-of-the-world branes in 3-dimensional gr…
View article: A stereoscopic look into the bulk
A stereoscopic look into the bulk Open
Here, we present the foundation for a holographic dictionary with depth perception. The dictionary consists of natural CFT operators whose duals are simple, diffeomorphism-invariant bulk operators. The CFT operators of interest are the “OP…
View article: Tensor networks from kinematic space
Tensor networks from kinematic space Open
We point out that the MERA network for the ground state of a 1+1-dimensional conformal field theory has the same structural features as kinematic space — the geometry of CFT intervals. In holographic theories kinematic space becomes identi…
View article: Equivalent equations of motion for gravity and entropy
Equivalent equations of motion for gravity and entropy Open
We demonstrate an equivalence between the wave equation obeyed by the entanglement entropy of CFT subregions and the linearized bulk Einstein equation in Anti-de Sitter space. In doing so, we make use of the formalism of kinematic space an…
View article: Spinning geodesic Witten diagrams
Spinning geodesic Witten diagrams Open
We present an expression for the four-point conformal blocks of symmetric traceless operators of arbitrary spin as an integral over a pair of geodesics in Anti-de Sitter space, generalizing the geodesic Witten diagram formalism of Hijano e…
View article: The spectrum of boundary states in symmetric orbifolds
The spectrum of boundary states in symmetric orbifolds Open
A bstract We give an explicit construction of the complete set of Cardy boundary states that respect the extended chiral algebra for symmetric product orbifolds. The states are labelled by a choice of seed theory boundary states as well as…
View article: Random matrix theory for complexity growth and black hole interiors
Random matrix theory for complexity growth and black hole interiors Open
A bstract We study a precise and computationally tractable notion of operator complexity in holographic quantum theories, including the ensemble dual of Jackiw-Teitelboim gravity and two-dimensional holographic conformal field theories. Th…
View article: arXiv : The Spectrum of Boundary States in Symmetric Orbifolds
arXiv : The Spectrum of Boundary States in Symmetric Orbifolds Open
We give an explicit construction of the complete set of Cardy boundary states that respect the extended chiral algebra for symmetric product orbifolds. The states are labelled by a choice of seed theory boundary states as well as a choice …
View article: Eigenstate Thermalization and Disorder Averaging in Gravity
Eigenstate Thermalization and Disorder Averaging in Gravity Open
Naively, resolving the black hole information paradox requires microscopic details about quantum gravity. Recent work suggests that, instead, a unitary Page curve can be recovered by adding disorder-averaged replica instantons to the path …
View article: Tensor network quotient takes the vacuum to the thermal state
Tensor network quotient takes the vacuum to the thermal state Open
In 1+1-dimensional conformal field theory, the thermal state on a circle is\nrelated to a certain quotient of the vacuum on a line. We explain how to take\nthis quotient in the MERA tensor network representation of the vacuum and\nconfirm …
View article: Integral geometry and holography
Integral geometry and holography Open
We present a mathematical framework which underlies the connection between information theory and the bulk spacetime in the AdS3/CFT2 correspondence. A key concept is kinematic space: an auxiliary Lorentzian geometry whose metric is define…
View article: Integral Geometry and Holography
Integral Geometry and Holography Open
We present a mathematical framework which underlies the connection between information theory and the bulk spacetime in the AdS$_3$/CFT$_2$ correspondence. A key concept is kinematic space: an auxiliary Lorentzian geometry whose metric is …