Geometry and String Theory
HomePage (Rev #152, changes)

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This is the homepage for the UT Geometry and String Theory Seminar. At the organizational meeting we will flesh out the details of our plans for the semester. Below are some suggestions to get us started.

Fall 2016 Schedule

References

Integrable Lattice Models and 4D “Chern-Simons”

• Faddeev, How algebraic Bethe ansatz works for integrable model
• Faddeev, Algebraic Aspects of Bethe-Ansatz
• Witten, Strings 2016 Lecture (slides)
• Costello, Strings 2016 Lecture (slides)
• Costello, Supersymmetric gauge theory and the Yangian
• Costello, Integrable lattice models from four-dimensional gauge theory

Topological Phases of Matter

• Bhardwaj, Gaiotto, Kapustin, State sum constructions of spin-TFTs and string net constructions of fermionic phases of matter
• Freed, Hopkins, Reflection positivity and invertible topological phases
• Gaiotto, Kapustin, Spin TQFTs and fermionic phases of matter
• Freedman, Hastings, Double semions in arbitrary dimensions
• Kapustin, Turzillo, You, Topological field theory and matrix product states
• Read, Compactly-supported Wannier functions and algebraic K-theory
• Seiberg, Senthil, Wang, Witten, A Duality Web in 2+1 Dimensions and Condensed Matter Physics
• Seiberg, Witten, Gapped Boundary Phases of Topological Insulators via Weak Coupling
• Vafa, Fractional Quantum Hall Effect and M-Theory
• Witten, Three Lectures On Topological Phases Of Matter
• Witten, Fermion path integrals and topological phases

Symmetry and Anomalies in QFT

• Gaiotto, Kapustin, Seiberg, Willett, Generalized global symmetries
• Witten, The “Parity” Anomaly On An Unorientable Manifold