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Gravity and the Crossed Product
Edward Witten
Recently Leutheusser and Liu [1,2] identified an emergent algebra of Type III in the operator algebra of super Yang-Mills theory for large . Here we describ…
Why Does Quantum Field Theory In Curved Spacetime Make Sense? And What Happens To The Algebra of Observables In The Thermodynamic Limit?
Edward Witten
This article aims to explain some of the basic facts about the questions raised in the title, without the technical details that are available in the literature. We provide a gentl…
A Note On Complex Spacetime Metrics
Edward Witten
For various reasons, it seems necessary to include complex saddle points in the "Euclidean" path integral of General Relativity. But some sort of restriction on the allowed complex…
On the black hole/string transition
Yiming Chen, Juan Maldacena, Edward Witten
We discuss aspects of the possible transition between small black holes and highly excited fundamental strings. We focus on the connection between black holes and the self gravitat…
Probing Quantization Via Branes
Davide Gaiotto, Edward Witten
We re-examine quantization via branes with the goal of understanding its relation to geometric quantization. If a symplectic manifold can be quantized in geometric quantization…
Gauge Theory and the Analytic Form of the Geometric Langlands Program
Davide Gaiotto, Edward Witten
We present a gauge-theoretic interpretation of the "analytic" version of the geometric Langlands program, in which Hitchin Hamiltonians and Hecke operators are viewed as concrete o…