Geometry and String Theory
Spring 2014

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

Stokes Phenomena, Resurgence, Transseries

• Gualtieri, Li, Pym, The Stokes Groupoids
• Argyres, Unsal, The semi-classical expansion and resurgence in gauge theories: new perturbative, instanton, bion, and renormalon effects

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