#
Geometry and String Theory
Fall 2008

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

Date | Speaker | Topic
--- | --- | ---
9/3 | Distler | Mirror Symmetry for 3D Gauge Theories
9/10 | Mautner | HyperKähler Manifolds
9/17 | Proudfoot | A Duality for HyperKähler Manifolds
9/24 | Freed | Rozansky-Witten
10/1 | Ben-Zvi | Kontsevich-Soibelman
10/8 | Neitzke | Four-dimensional wall-crossing via three-dimensional field theory
10/15 | Rozansky | Rozansky-Witten down to points
10/22 | Robbins | Superconformal Boundary Conditions for N=4 SYM
10/29 | Ben-Zvi | Kontsevich-Soibelman, Part 2
11/5 | Ben-Zvi | Kontsevich-Soibelman, Part 3
11/12 | ? | ?
11/19 | Chris Beasley | Localization for Wilson Loops in Chern-Simons Theory
12/3 | Arkani-Hamed | What is the Simplest Quantum Field 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, …œYang-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

#### Chern-Simons

- Beasley, Witten, Non-Abelian Localization For Chern-Simons Theory

Created on January 21, 2009 13:25:28 by Jacques Distler