Geometry and String Theory
HomePage (Rev #102, 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.

Spring 2014 Schedule

References

Super Yang-Mills in 5 dimensions

• Y. Tachikawa, On S-duality of 5d super Yang-Mills on $S^1$

$\mathcal{N}=4$ super Yang-Mills in 4 dimensions

• A. Sen, Dyon-Monopole Bound States, Self-Dual Harmonic Forms on the Multi-Monopole Moduli Space, and SL(2,Z) Invariance in String Theory
• C. Vafa, Geometric Origin of Montonen-Olive Duality
• Arkani-Hamed and Trnka, The Amplituhedron
• Arkani-Hamed and Trnka, Into The Amplituhedron

Reduction to 3 dimensions

• Dimofte, Gaiotto, Gukov, Gauge Theories Labelled by 3-Manifolds
• Cecotti, Cordova, Vafa, Braids, Walls and Mirrors

4D $\mathcal{N}=2$

• Argyres, Plesser, Seiberg The Moduli Space of N=2 SUSY QCD and Duality in N=1 SUSY QCD
• N. Nekrasov and V. Pestun, Seiberg-Witten geometry of four dimensional N=2 quiver gauge theories
• Nekrasov, Pestun and Shatashvili, Quantum geometry and quiver gauge theories
• Tachikawa On the 6d origin of discrete additional data of 4d gauge theories
• Gaiotto, Seiberg and Tachikawa, Comments on scaling limits of 4d N=2 theories
• Tachikawa, A pseudo-mathematical pseudo-review on 4d N=2 supersymmetric QFTs

4d N=1

• Costello, Supersymmetric gauge theory and the Yangian
• Costello and Scheimbauer, Lectures on mathematical aspects of (twisted) supersymmetric gauge theories

Extended operators in topological field theory

• Aharony, Seiberg and Tachikawa, Reading between the lines of four-dimensional gauge theories
• Gukov and Kapustin, Topological Quantum Field Theory, Nonlocal Operators, and Gapped Phases of Gauge Theories
• Seiberg and Kapustin, Coupling a QFT to a TQFT and Duality

Generalities on field theory

• Abdesselam, QFT, RG, and all that, for mathematicians, in eleven pages
• Cattaneo, Mnev, Reshetikhin, Semiclassical quantization of classical field theories
• Bilal, Ferrari, Multi-Loop Zeta Function Regularization and Spectral Cutoff in Curved Spacetime