Geometry and String Theory
Fall 2014

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 2014 Schedule

References

The (2,0) theory reduced to 3 dimensions

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

4D $\mathcal{N}=2$

• 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

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

Resurgence, TQFTs

• R. Couso-Santamaría, J. Edelstein, R. Schiappa, M. Vonk, Resurgent Transseries and the Holomorphic Anomaly: Nonperturbative Closed Strings in Local $\mathbb{CP}^2$
• P. Argyres and M. Unsal, The semi-classical expansion and resurgence in gauge theories: new perturbative, instanton, bion, and renormalon effects

$(1,0)$ SCFTs in 6 Dimensions

• J. Heckman, D. Morrison, C. Vafa, On the Classification of 6D SCFTs and Generalized ADE Orbifolds
• M. Del Zotto, J. Heckman, A. Tomasiello, C. Vafa, 6d Conformal Matter

Costello-style QFT

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

• T. Nguyen, Quantization of the Nonlinear Sigma Model Revisited

Miscellany

• K. Ohmori and Y. Tachikawa, Physics at the entangling surface

• K. Maruyoshi, Y. Tachikawa, W. Yan, K. Yonekura, Dynamical Supersymmetry Breaking with T_N Theory

• S. Ashok, F. Cachazo, E. Dell’Aquila, Children…™s Drawings From Seiberg-Witten Curves

Old classics

• E. Witten, Supersymmetry and Morse theory

• Mirzakhani on Witten conjecture