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Three Lectures On Topological Phases Of Matter
Edward Witten
These notes are based on lectures at the PSSCMP/PiTP summer school that was held at Princeton University and the Institute for Advanced Study in July, 2015. They are devoted largel…
Fermion Path Integrals And Topological Phases
Edward Witten
Symmetry-protected topological (SPT) phases of matter have been interpreted in terms of anomalies, and it has been expected that a similar picture should hold for SPT phases with f…
Algebra of the Infrared: String Field Theoretic Structures in Massive Field Theory In Two Dimensions
Davide Gaiotto, Gregory W. Moore, Edward Witten
We introduce a "web-based formalism" for describing the category of half-supersymmetric boundary conditions in dimensional massive field theories with supers…
More On Gauge Theory And Geometric Langlands
Edward Witten
The geometric Langlands correspondence was described some years ago in terms of -duality of super Yang-Mills theory. Some additional matters relevant to this story are de…
An Introduction To The Web-Based Formalism
Davide Gaiotto, Gregory W. Moore, Edward Witten
This paper summarizes our rather lengthy paper, "Algebra of the Infrared: String Field Theoretic Structures in Massive Field Theory In Two Dimensions," and is mean…
Filling The Gaps With PCO's
Ashoke Sen, Edward Witten
Superstring perturbation theory is traditionally carried out by using picture-changing operators (PCO's) to integrate over odd moduli. Naively the PCO's can be inserted anywhere on…