This book emerged from a graduate course that I have been teaching for several years at SISSA. While primarily aimed at graduate students, advanced undergraduate students may also find the book useful, as well as researchers working in high energy physics and related areas.
The book is available from World Scientific (use discount code WSAUTHOR30 to get 30% off!).
Here I collect misprints, which I will try to amend in possible reprints.
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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
Exercises
- 3. Representations of the Supersymmetry Algebra
Massless supermultiplets
Massive supermultiplets
Representation on fields: a first try
Exercises
- 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
Exercises
- 5. Supersymmetric Actions: Minimal Supersymmetry
N=1 matter actions
N=1 supersymmetric Yang-Mills
N=1 gauge-gatter actions
Exercises
- 6. Supersymmetric Actions: Extended Supersymmetry
N=2 supersymmetric actions
N=4 supersymmetric actions
On non-renormalization theorems
Exercises
- 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
Exercises
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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
Exercises
- 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
Exercises
- 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
Exercises
- 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
Exercises
- 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
Exercises
- Index
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