Time & Place: Tu 12:30-14:00, T 12:30-14:00; Room: Bob room, PI
Instructor: Alex Buchel, Ext: 88794 (UWO), 6511 (PI) , E-mail: abuchel[at]perimeterinstitute.ca
Office hours: after lecture or by appointment.
Prerequisites:On the physics side, the minimum requirement is:
1. Lagrangian formulation of classical mechanics.
2. Maxwell equations, Lorentz invariance (special relativity).
3. Quantum Mechanics.
A basic knowledge of QFT (gauge theories, Feynmann diagrams, renormalization) is highly desirable.
On the math side:
1. Analysis on the complex plane (holomorphy, analytical continuation)
2. Rudimentory group theory (SU(2), Lorentz group).
Course outline:I. Qualitative supersymmetry:
a. Coleman-Mandula theorem (Why supersymmetry?).
b. Supersymmetric quantum mechanics: vacuum properties, superfields, instantons.II. Perturbative supersymmetry:
a. Representations of the Lorentz group and supersymmetry algebra.
b. N=1 superspace and chiral superfields.
c. Effective actions, nonrenormalization theorems,nlsm.
d. Moduli space, "integrating out", and singularities in effective actions.
e. Supersymmetry breaking in the nlsm.
f. Vector superfields and superQED.
g. Spontanuous symmetry breaking (supersymmetry and/or gauge symmetry).III. Nonabeliean gauge theories:
a. Quantum gauge theories.
b. Theta-angles and instantons.
e. Non-renormalization in supersymmetric gauge theories.IV. Nonperturbative supersymmetry:
a. Supersymmetric Yang-Mills theory.
b. Supersymmetric QCD.
c. Phases of N=1 gauge theories.V. Supersymmetric theories with low-energy photons (Seiberg-Witten model)
b. Electric-magnetic duality.
c. Exact solution of N=1 SU(2) gauge theory with adjoint \chisf.
d. Dual Higgs mechanism and confinement
The primary text are lecture notes "Introduction to Global Supersymmetry" by Philip Argyres, available at http://www.physics.uc.edu/~argyres/661/index.html; we will use 1996 notes.
Julius Wess and Jonathan Bagger, "Supersymmetry and Supergravity"
Course grade will be based on several homework assignments. There will be no final exam. For people really interested in learning the subject, there will be additional 'suggested exercises' at the end of each lecture. I will not post solutions to these additional problems, but will be happy to discuss them during my office hours.
Homework 1, October 16, 2007(.ps)(.pdf)
Homework 2, October 29, 2007(.ps)(.pdf)
Homework 3, November 20, 2007(.ps)(.pdf)
Feedback:Feedback to the instructor regarding the quality, speed, and content of presentation is especially appreciated during the semester!