Geometry and String Theory
HomePage

This is the homepage for the UT Geometry and String Theory Seminar.

Fall 2008 Schedule

This semester, we will cover several topics:

1. Superconformal Boundary Conditions for N=4 Super Yang-Mills, and the connections with 3D Mirror Symmetry
2. Kontsevich-Soibelman, Donaldson-Thomas Theory and Wall-Crossing Formulæ for N=2 Supersymmetric Gauge Theories
3. Developments in Rozansky-Witten Theory

References

Superconformal Boundary Conditions for N=4 Super Yang-Mills

• Gaiotto and Witten, S-Duality of Boundary Conditions in N=4 Super Yang-Mills Theory
• Gaiotto and Witten, Janus Configurations, Chern-Simons Couplings, and the Theta-Angle in N=4 Super Yang-Mills Theory
• Gaiotto and Witten, Supersymmetric Boundary Conditions in N=4 Super Yang-Mills Theory
• Intriligator and Seiberg, Mirror Symmetry in Three Dimensional Gauge Theories
• Kapustin and Strassler, On Mirror Symmetry in Three Dimensional Abelian Gauge Theories
• de Boer, Hori, Ooguri and Oz , Mirror Symmetry in Three-Dimensional Gauge Theories, Quivers and D-branes
• Kronheimer and Nakajima, “Yang-Mills Instantons on ALE Gravitational Instantons,” Math. Ann. 288 (1990) 263.
• Braden, Licata, Proudfoot and Webster, Gale duality and Koszul duality

Kontsevich-Soibelman

• Gaiotto, Moore and Neitzke, Four-dimensional wall-crossing via three-dimensional field theory

• Kontsevich, Donaldson-Thomas invariants

• Kontsevich, lectures at Workshop on Homological Mirror Symmetry, U. of Miami, 1/08 (Notes by David Nadler)

  • Part 1
  • Part 2
  • Part 3

• Soibelman, Lecture on Donaldson-Thomas Invariants. (notes by David ben Zvi)

• Bridgeland and Toledano-Laredo, Stability conditions and Stokes factors

Rozansky-Witten Theory

• Rozansky and Witten, Hyper-Kähler Geometry and Invariants of Three-Manifolds
• Kapranov, Rozansky-Witten invariants via Atiyah classes
• Kontsevich, Rozansky-Witten invariants via formal geometry
• Roberts and Willerton, On the Rozansky-Witten weight systems