Sylabus
- General introduction to supersymmetry
- Why supersymmetry is so powerful: central charges and holomorphy
- Short multiplets
- Witten’ index
- Exact result in two dimensional field theories
- Domain wall in supersymmetric glueodynamics: from a soliton to D-brane
- First exact results in four dimensional Yang-Mills theories
- Exact beta functions, gluino condensate and holomorphy
- Super-anomalies
- First analytic solution of confinement in N=2 SUSY Yang-Mills (Seiberg-Witten; outline)
Anotace
Aim of the course: Powerful methods based on supersymmetry allow one to find exact solutions to certain problems in strong coupling gauge theories. The inception of some of these methods but also some recent discoveries will be discussed.