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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 table of contents. My lecture notes have now become a book, published by World Scientific. Here you can find a dedicated page.
Lectures on Supersymmetry
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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 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
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
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Supersymmetry on the Web (Lecture notes)
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Advanced Supersymmetry (duality and alike) on the Web
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