course dates credits
Supersymmetry II Apr 28 - Jun 5 5
teachers schedule term
Matteo Bertolini 8:30 - 10:00 3

Program:

1. Non-perturbative effects and holomorphy

  • Instantons and anomalies in a nutshell
  • t'Hooft anomaly matching condition
  • Holomorphy
  • Holomorphy and non-renormalization theorems
  • Holomorphic decoupling

    2. Supersymmetric quantum dynamics: minimal supersymmetry
  • 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

    3. Dynamical Supersymmetry breaking
  • Calculable and non-calculable models: generalities
  • The one GUT family SU(5) model
  • The 3-2 model: instanton driven SUSY breaking
  • The 4-1 model: gaugino condensation driven SUSY breaking
  • The ITIY model: SUSY breaking with classical at directions
  • DSB into metastable vacua. A case study: massive SQCD

    4. Supersymmetric quantum dynamics: extended supersymmetry
  • Low energy effective actions: classical and quantum
  • N=2 and N=4 moduli spaces
  • Monopoles, dyons and electric-magnetic duality: a recap
  • Seiberg-Witten theory: N=2 SU(2) pure SYM
  • Seiberg-Witten theory: generalizations
  • N=4 SYM: Montonen-Olive duality

    Prerequisites:

    All previous courses. In particular, the student should be knowledgeable in

    • Advanced Quantum Field Theory I and II
    • Differential Geometry and Group theory
    • Supersymmetry I

    Books:

    M. Bertolini, "Supersymmetry - From the Basics to Exact Results in Gauge Theories"

    Online Resources:

    Filename Size (bytes) Date Modified
    susycourse.pdf 5.72 MB Feb 8 2025 6:39 PM