
I teach a onesemester graduate course on (rigid) SUPERSYMMETRY to students attending the Theoretical
Particle Physics PhD curriculum
at SISSA. Below you can find the index of the topics discussed, a big file containing the full set
of lectures as well as
separate pdf files for each lecture.
Disclaimer. These notes are rather preliminary in many aspects, and permanently work in progress. Moreover,
there might be many small mistakes and typos. I hope to be able to improve them in the near future.
Any suggestions or comments in this direction are most welcome.
Lectures on Supersymmetry PDF




Content
 1 Supersymmetry: a bird's eye view
(
pdf )
What is supersymmetry?
What is supersymmetry useful for?
 2. The Supersymmetry algebra
(
pdf
)
Lorentz and Poincare' groups
Spinors and representations of the Lorentz group
The supersymmetry algebra
 3. Representations of the Supersymmetry algebra
(
pdf
)
Massless supermultiplets
Massive supermultiplets
Representation on fields: a first try
 4. Superspace and Superfields
(
pdf
)
Superspace as a coset
Superfields as fields in superspace
On supersymmetric invariant actions
Chiral superfields
Real superfields
Current superfields
 5. Supersymmetric actions: minimal supersymmetry
(
pdf
)
N=1 matter actions
N=1 SuperYangMills
N=1 GaugeMatter actions
 6. Supersymmetric actions: extended supersymmetry
(
pdf
)
N=2 supersymmetric actions
N=4 supersymmetric actions
Nonrenormalization theorems
 7. Supersymmetry breaking
(
pdf
)
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
(
pdf
)
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
(
pdf
)
Instantons and anomalies in a nutshell
t'Hooft anomaly matching condition
Holomorphy
Holomorphy and nonrenormalization theorems
Holomorphic decoupling
 10. Supersymmetric gauge dynamics: N=1
(
pdf
)
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
(
pdf
)
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
(
pdf
)
Low energy effective actions: classical and quantum
Monopoles, dyons and electricmagnetic duality
SeibergWitten theory
N=4: MontonenOlive duality




Supersymmetry on the Web (Lecture notes)

Advanced Supersymmetry (duality and alike) on the Web


