David Tong: Lectures on Supersymmetry
This is a course of supersymmetric field theory given to Part III (i.e. masters level) students. It covers the basics of supersymmetric field theories, as well as more advanced topics such as Seiberg duality. Please do email me if you find any typos or mistakes.
Content
- 1. Introduction:
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Table of Contents. Why study supersymmetry? - 2. The Supersymmetry Algebra: PDF
The Lorentz group, spinors and SL(2,C), The Poincare group. The supersymmetry algebra, R-symmetry. Representations of the Poincare group and the susy algebra. Extended supersymmetry and BPS states. - 3. Chiral Superfields:
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Superspace and superfields. Chiral superfields. F-terms and D-terms. The Wess-Zumino model, non-linear sigma models. Non-renormalisation theorems and the power of holomorphy. Supersymmetry breaking, the Goldstino, the Witten index, the O'Raifeartaigh model, the Nelson-Seiberg argument. - 4. Supersymmetric Gauge Theories: PDF
Real superfields and the field strength. Supersymmetric QED, Super Yang-Mills and SQCD. The moduli space of vacua, gauged linear models. Extended supersymmetry. - 5. Boot Camp: Quantum Gauge Dynamics:
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The beta function and strong coupling; Confinement and the mass gap; Chiral symmetry breaking; Phases of massless QCD. Gauge anomalies, chiral anomalies, and 't Hooft anomalies; Instantons. - 6. Supersymmetric QCD:
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Super Yang-Mills, confinement and chiral symmetry breaking, the Witten index. Symmetries of SQCD and a runaway potential. More on SQCD: a deformed moduli space, 't Hooft anomaly matching, and confinement without chiral symmetry breaking. The conformal window and superconformal field theories. Seiberg duality. - 7. More Supersymmetric Gauge Dynamics:
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Other gauge groups and Intriligator-Pouliot duality; Chiral gauge theories and Pouliot-Strassler duality; a-maximization. Dynamical supersymmetry breaking.
Problem Sheets
- Problem Sheet 1: PDF Spinors and Superspace.
- Problem Sheet 2: PDF Non-Renormalisation Theorems. Susy Gauge Theories.
- Problem Sheet 3: PDF Quantum Gauge Dynamics.
- Problem Sheet 4: PDF SQCD.
Supersymmetry on the Web
The Basics and More
- Global Supersymmetry by Philip Argyres
- Supersymmetry by Matteo Bertolini
- Supersymmetry and Supergravity by Cyril Closset
- Supersymmetry by Ben Allanach and Fernando Quevedo
Supersymmetry Breaking
- Dynamical Supersymmetry Breaking by Erich Poppitz and Sandip Trivedi
- Lectures on Supersymmetry Breaking by Ken Intriligator and Nati Seiberg
N=1 Dualities
- Lectures on supersymmetric gauge theories and electric-magnetic duality by Ken Intriligator and Nati Seiberg
- Duality in Supersymmetric Yang-Mills Theory by Michael Peskin
- Lectures on 4d N=1 dynamics and related topics by Yuji Tachikawa
- An Unorthodox Introduction to Supersymmetric Gauge Theory by Matt Strassler
- Non-Perturbative Dynamics in Supersymmetric Gauge Theories by Misha Shifman
- Aspects of 4d supersymmetric dynamics and geometry by Shlomo Razamat, Evyatar Sabag, Orr Sela and Gabi Zafrir.