Table of Contents
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Preface
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Foreword
- 1 Supersymmetry: a Bird's Eye View
What is supersymmetry?
Why supersymmetry?
Some useful textbooks
- 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 philosohpy
Chiral superfields
Real (aka Vector) superfields
(Super)Current superfields
- 5. Supersymmetric Actions: Minimal Supersymmetry
N=1 matter actions
N=1 supersymmetric Yang-Mills
N=1 gauge-gatter actions
- 6. Supersymmetric Actions: Extended Supersymmetry
N=2 supersymmetric actions
N=4 supersymmetric actions
On non-renormalization theorems
- 7. Spontaneous Supersymmetry Breaking
Vacua in supersymmetric theories
Goldstone theorem and the goldstino
F-term breaking
Pseudomoduli space: quantum corrections
D-term breaking
Indirect criteria for supersymmetry breaking
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- 8. Supersymmetric Extensions of the Standard Model
Towards dynamical supersymmetry breaking
The supertrace mass formula
Beyond the MSSM
Spurions, soft terms and the messenger paradigm
Mediating the breaking
- 9. Non-perturbative Effects and Holomorphy
Instantons in a nutshell
Anomalies in a nutshell
t'Hooft anomaly matching condition
Holomorphy
Holomorphy and non-renormalization theorems
Holomorphic decoupling
- 10. Supersymmetric Gauge Dynamics: Minimal Supersymmetry
Confinement and mass gap in QCD, YM and SYM
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: supersymmetry breaking by instantons
The 4-1 model: supersymmetry breaking by gaugino condensation
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 electro-magnetic duality
Seiberg-Witten theory
Seiberg-Witten theory: generalizations
N=4: Montonen-Olive duality
- Index
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