2.1k citations · 17.1k across the 109 of their papers we have counts for
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The Tameness of Quantum Field Theory, Part II -- Structures and CFTs
Michael R. Douglas, Thomas W. Grimm, Lorenz Schlechter
Tame geometry originated in mathematical logic and implements strong finiteness properties by defining the notion of tame sets and functions. In part I we argued that observables i…
The Tameness of Quantum Field Theory, Part I -- Amplitudes
Michael R. Douglas, Thomas W. Grimm, Lorenz Schlechter
We propose a generalized finiteness principle for physical theories, in terms of the concept of tameness in mathematical logic. A tame function or space can only have a finite amou…
Numerical Calabi-Yau metrics from holomorphic networks
Michael R. Douglas, Subramanian Lakshminarasimhan, Yidi Qi
We propose machine learning inspired methods for computing numerical Calabi-Yau (Ricci flat Kähler) metrics, and implement them using Tensorflow/Keras. We compare them with previou…
Computational complexity of the landscape II - Cosmological considerations
Frederik Denef, Michael R. Douglas, Brian Greene +1
We propose a new approach for multiverse analysis based on computational complexity, which leads to a new family of "computational" measure factors. By defining a cosmology as a sp…
Calabi-Yau metrics and string compactification
Michael R. Douglas
Yau proved an existence theorem for Ricci-flat Kähler metrics in the 1970's, but we still have no closed form expressions for them. Nevertheless there are several ways to get appro…
The Cremmer-Scherk Mechanism in F-theory Compactifications on K3 Manifolds
Michael R. Douglas, Daniel S. Park, Christian Schnell
It is well understood --- through string dualities --- that there are 20 massless vector fields in the spectrum of eight-dimensional F-theory compactifications on smooth elliptical…