course dates credits
Supersymmetry Jan 16 - Mar 30 2
teachers schedule term
Matteo Bertolini Mon-Thur, 8.30-9.45 2

Program:

  • 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
    Supersymmetric invariant actions - general philosophy
    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. Theories with 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 MSSM
    Spurions, 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
    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

Prerequisites:

Quantum field theory, Electroweak and Strong Interactions.

Books:

Online Resources:

Filename Size (bytes) Date Modified
susycourse.pdf 1.76 MB Oct 26 2022 12:32 PM