
I teach a onesemester graduate course on SUPERSYMMETRY to students attending the Theoretical
Particle Physics PhD curriculum
at SISSA. Below you can find the index of the topics discussed and a big file containing the full set
of lectures.
Lectures on Supersymmetry PDF




Content
 1 Supersymmetry: a bird's eye view
What is supersymmetry?
What is supersymmetry useful for?
 2. The Supersymmetry algebra
Lorentz and Poincare' groups
Spinors and representations of the Lorentz group
The supersymmetry algebra
 3. Representations of the Supersymmetry algebra
Massless supermultiplets
Massive supermultiplets
Representation on fields: a first try
 4. Superspace and Superfields
Superspace as a coset
Superfields as fields in superspace
On supersymmetric invariant actions
Chiral superfields
Real superfields
Current superfields
 5. Supersymmetric actions: minimal supersymmetry
N=1 matter actions
N=1 SuperYangMills
N=1 GaugeMatter actions
 6. Supersymmetric actions: extended supersymmetry
N=2 supersymmetric actions
N=4 supersymmetric actions
Nonrenormalization theorems
 7. Supersymmetry breaking
Vacua in supersymmetric theories
The goldstone theorem and the goldstino
Fterm breaking
Pseudomoduli space: quantum corrections
Dterm breaking
Indirect criteria for supersymmetry breaking
 8. Mediation of supersymmetry breaking
Towards dynamical supersymmetry breaking
The Supertrace mass formula
Beyond Minimal Supersymmetric Standard Model
Spurion fields, soft terms and the messenger paradigm
Mediating the breaking
 9. Nonperturbative effects and holomorphy
Instantons and anomalies in a nutshell
t'Hooft anomaly matching condition
Holomorphy
Holomorphy and nonrenormalization theorems
Holomorphic decoupling
 10. Supersymmetric gauge dynamics: N=1
Confinement in QCD, YM and SYM theories
Phases of gauge theories: examples
N=1 SQCD: perturbative analysis
N=1 SQCD: nonperturbative dynamics
The phase diagram of N=1 SQCD
 11. Dynamical supersymmetry breaking
Calculable and noncalculable models: generalities
The one GUT family SU(5) model
The 32 model: instanton driven supersymmetry breaking
The 41 model: gaugino condensation driven supersymmetry breaking
The ITIY model: supersymmetry breaking with classical flat directions
DSB into metastable vacua. A case study: massive SQCD
 12. Supersymmetric gauge dynamics: extended supersymmetry
Low energy effective actions: classical and quantum
Monopoles, dyons and electromagnetic duality: a recap
SeibergWitten theory
SeibergWitten theory: generalizations
N=4: MontonenOlive duality




Supersymmetry on the Web (Lecture notes)

Advanced Supersymmetry (duality and alike) on the Web


