Matteo Bertolini: Lectures on Supersymmetry SISSA Home

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Susy picture
Every particle has its partner... (from CERN site)

" Darn! Almost got it!"

      -- Albert Einstein

I teach a one-semester 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


  • 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 SuperYang-Mills
    N=1 Gauge-Matter actions
  • 6. Supersymmetric actions: extended supersymmetry
    N=2 supersymmetric actions
    N=4 supersymmetric actions
    Non-renormalization theorems
  • 7. Supersymmetry breaking
    Vacua in supersymmetric theories
    The goldstone theorem and the goldstino
    F-term breaking
    Pseudomoduli space: quantum corrections
    D-term 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. Non-perturbative effects and holomorphy
    Instantons and anomalies in a nutshell
    t'Hooft anomaly matching condition
    Holomorphy and non-renormalization 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: non-perturbative dynamics
    The phase diagram of N=1 SQCD
  • 11. Dynamical supersymmetry breaking
    Calculable and non-calculable models: generalities
    The one GUT family SU(5) model
    The 3-2 model: instanton driven supersymmetry breaking
    The 4-1 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
    Seiberg-Witten theory
    Seiberg-Witten theory: generalizations
    N=4: Montonen-Olive duality

Supersymmetry on the Web (Lecture notes)

Advanced Supersymmetry (duality and alike) on the Web