Physics 487 Supersymmetry and
Supergravity
Textbooks: Supersymmetry and Supergravity
by Wess & Bagger
The Quantum Theory of
Fields, vol. 3 by Steve Weinberg
Location & Time: KPTC 305, TTh
1:30-2:50
This course will serve as an introduction to supersymmetry and
supergravity. It will be aimed at advanced graduate
students with some field theory background. By popular demand, the
course has been scheduled for the Spring rather
than Winter quarter.
Tentative Syllabus:
- Supersymmetric quantum mechanics
- Index theory
- Representations of supersymmetry
- Supersymmetric field theory
- Holomorphy and supersymmetric Yang-Mills
- Supersymmetry breaking
- Supergravity
References:
SUSY QM and Index Theory:
On supersymmetric index theory, I recommend the original
papers
E. Witten, Nucl. Phys. B188:513, 1981 and Nucl. Phys. B202:253, 1982.
For an explanation (at a level more detailed than the presentation in
lecture) about how to compute supersymmetric indices using heat
kernels, I suggest
S. Sethi and M. Stern, hep-th/9705046,
Commun. Math. Phys. 194:675-705, 1998.
For physical derivations of geometric index formulae using
supersymmetric quantum mechanics, see, for example,
Luis Alvarez-Gaume, Commun.
Math. Phys. 90:161, 1983.
Holomorphy and Gauge Theory Superpotentials:
See hep-th/9509066 by K. Intriligator and N. Seiberg.
Problem Sets:
Assignment 1
Note: I have added additional comments to the problem set.
Assignment 2
Final
Project:
For your final, choose a topic related to supersymmetry. I will list
some possibilities below. Come and see me when you have found a
topic to discuss the scope of your project, and to make sure that it
has not already be taken.
Write a report on the topic (preferably using TeX or LaTeX) which is at
a level accessible to your classmates (there is a good chance,
your classmates will be reading your report). On this part of final,
you should work alone.
In small groups (2 or 3 people at most), prepare a 1 hour presentation
on the topic.
- Minimal Supersymmetric Standard Model (MSSM)
- Gauge mediated supersymmetry breaking
- Gravity mediated supersymmetry
breaking
- N=2 Supersymmetric Yang-Mills theories
- A survey of supergravities in different
dimensions
- Anomalies in SUSY/SUGRA theories
Final Presentation Schedule:
Gravity mediated supersymmetry breaking:
Tuesday, June 3 (M. Park & D. Morrissey;
3:15, location theory lounge)
M. Park's report; D.
Morrissey's report.
Minimal Supersymmetric Standard Model (MSSM): Monday, June
9 (N. Shah & N. Busca; 11:15)
N. Busca's report; N.
Shah's report
Gauge mediated supersymmetry breaking:
Monday, June 9 (A. Menon & M. Tchernookov; 1:30)
A. Menon's report; M.
Tchernookov's report
N=2 Supersymmetric Yang-Mills theories:
Tuesday, June 10 (A. Zhyglo; 11:15)
A. Zyglo's report
The Supersymmetric Index: Tuesday,
June 10 (M. Guica & K. Smith; 1:30)
K. Smith's report; M. Guica's report
A survey of supergravities in different
dimensions: Wednesday, June 11 (M. Seifert, P. Warszawski &
E. Antonyan; 1:30)
M. Seifert's report; P. Warszawski's report; E. Antonyan's report
Reports are available here for download.