12 citations · 66 across the 14 of their papers we have counts for
15 papers
The -states of a string worldsheet
Suzanne Bintanja, Elliott Gesteau
The worldsheet description of string amplitudes can be reinterpreted as a baby universe field theory. Under this reinterpretation, we determine the -states of a topological stri…
A no-go theorem for large closed universes
Elliott Gesteau
Under conservative assumptions, it is established at a mathematical level of rigor that if correlation functions of single trace operators in a sequence of states of energ…
On Infinite Tensor Networks, Complementary Recovery and Type II Factors
Wissam Chemissany, Elliott Gesteau, Alexander Jahn +2
We initiate a study of local operator algebras at the boundary of infinite tensor networks, using the mathematical theory of inductive limits. In particular, we consider tensor net…
Toward stringy horizons
Elliott Gesteau, Hong Liu
We take a first step towards developing a new language to describe causal structure, event horizons, and quantum extremal surfaces (QES) for the bulk description of holographic sys…
Wormhole Renormalization: The gravitational path integral, holography, and a gauge group for topology change
Elliott Gesteau, Matilde Marcolli, Jacob McNamara
We study the Factorization Paradox from the bottom up by adapting methods from perturbative renormalization. Just as quantum field theories are plagued with loop divergences that n…
Explicit large von Neumann algebras from matrix models
Elliott Gesteau, Leonardo Santilli
We construct a large family of quantum mechanical systems that give rise to an emergent type III von Neumann algebra in the large limit. Their partition functions are matri…
Bounds on spectral gaps of Hyperbolic spin surfaces
Elliott Gesteau, Sridip Pal, David Simmons-Duffin +1
We describe a method for constraining Laplacian and Dirac spectra of two dimensional compact orientable hyperbolic spin manifolds and orbifolds. The key ingredient is an infinite f…
Emergent spacetime and the ergodic hierarchy
Elliott Gesteau
Various diagnostics of the emergence of an arrow of time in the bulk description of a holographic theory have been proposed, including the decay of some real time correlation funct…
Large von Neumann algebras and the renormalization of Newton's constant
Elliott Gesteau
I derive a family of Ryu--Takayanagi formulae that are valid in the large limit of holographic quantum error-correcting codes, and parameterized by a choice of UV cutoff in the…
Holographic tensor networks from hyperbolic buildings
Elliott Gesteau, Matilde Marcolli, Sarthak Parikh
We introduce a unifying framework for the construction of holographic tensor networks, based on the theory of hyperbolic buildings. The underlying dualities relate a bulk space to…
Nonperturbative gravity corrections to bulk reconstruction
Elliott Gesteau, Monica Jinwoo Kang
We introduce a new algebraic framework for understanding nonperturbative gravitational aspects of bulk reconstruction with a finite or infinite-dimensional boundary Hilbert space.…
Holographic baby universes: an observable story
Elliott Gesteau, Monica Jinwoo Kang
We formulate the baby universe construction rigorously by giving a primordial role to the algebra of observables of quantum gravity rather than the Hilbert space. Utilizing diffeom…
Thermal states are vital: Entanglement Wedge Reconstruction from Operator-Pushing
Elliott Gesteau, Monica Jinwoo Kang
We give a general construction of a setup that verifies bulk reconstruction, conservation of relative entropies, and equality of modular flows between the bulk and the boundary, fo…
The infinite-dimensional HaPPY code: entanglement wedge reconstruction and dynamics
Elliott Gesteau, Monica Jinwoo Kang
We construct an infinite-dimensional analog of the HaPPY code as a growing series of stabilizer codes defined respective to their Hilbert spaces. The Hilbert spaces are related by…
Renormalizing Yukawa interactions in the standard model with matrices and noncommutative geometry
Elliott Gesteau
We show that gauge-independent terms in the one-loop and multi-loops -functions of the Standard Model can be exactly computed from the Wetterich functional renormalization of a…