DEPARTMENT OF PHYSICS AND ASTRONOMY  (202) 8066245 (main office), 5830 (fax)
Theoretical Physics 2 (21623901) MW 3^{00}4^{30} pm;
Office hrs.: MW 3  5, and by appointment (at least one day ahead, confirmed)
[Topics][Daily Schedule][Assignments][Welcome]
Component

Due time

Remark

% of Grade


Homework  See in daily schedule  Late HW = 0 credit !!! 
3 x 20%

Term project and presentation  End of class  25 min. + 10 min. questions 
40%

The aim of the course is to give a brief but uncompromising introduction to supersymmetry, both global (rigid) and local (supergravity). We begin with reviewing the motivation for considering supersymmetry, and then proceed by studying the simplest (and most often used) supersymmetric models. The first part of the course considers only global (rigid) supersymmetry, i.e.., supersymmetry in flat spacetime. The second part introduces supergravity: the fully dynamical theory of local supersymmetry which induces and generalizes gravity.
A successful student is expected to demonstrate a very good understanding of the fundamental principles of supersymmetric quantum field theory, but also to demonstrateand maintainthe ability to solve practical problems involving quantum superfields.
“Success = 1% inspiration + 99% perspiration”T.A. Edison
Daytoday schedule: Students are required to read ahead and discuss in class!
Last year's schedule; will be modified soon.
1/08: Introductory matters
1/11: Why supersymmetry? §1
1/13: The ColemanMandula Theorem and the HaagLopusanskiSohnius Theorem. §1
1/15: Representations of supersymmetry §2
1/18: Observed holiday: Martin Luther King's birthday
1/20: Component fields §3
1/22: Superfields  the general idea §4[HW1 due]
1/25: Chiral superfields §5
1/27: Chiral superfields as superconstrained superfields (extra)
1/29: Vector superfields: the constrained superfield §6
2/01: Vector superfields: gauge transformations and the WessZumino gauge §6
2/03: Gauge invariant interactions §7
2/05: U(1) Gauge invariant interactions and Rtransformations (extra)[HW2 due]
2/08: Spontaneous supersymmetry breaking §8
2/10: Spontaneous symmetry breaking §8
2/12: Superfield propagators: component field derivation §9
2/15: Observed Holiday: President's day
2/17: Superfield propagators :the full superfield result §9
2/19: Superfield propagators: projectors §9 [HW3 due]
2/22: Supergraphiti: path integrals and npoint functions §10
2/24: Supergraphiti: Feynman rules for 1PI diagrams §10
2/26: Differential forms in superspace: basic definitions §12
3/01: Differential forms in superspace: general covariance and YangMills covariance §12
3/03: Flat superYangMills theories §13
3/05: Flat superYangMills Lagrangians and equations of motion §13[HW4 due]
3/08: Supergravity: gauged supersymmetry §14
3/10: Bianchi identities: geometrical meaning §15
3/12: Bianchi identities: solutions §15
3/15: Supergauge theories §16
3/17: Dynamical fields in the vielbein, torsion and curvature §17
3/19: The supergravity multiplet §18 [HW5 due]
Spring recess: March 19th, close of classes29th, 8:00 a.m.
3/29: Constrained superfields in curved (super)spacetime §19
3/31: Invariant Lagrangians §21
4/02: Model building: massterms and the Standard model (extra)
4/05: Model building: modification of the RGEs and Grand Unification (extra)
4/07: 2dimensional spacetime: SO(1,1) as the Lorentz group (extra)
4/09: 2dimensional spacetime: constrained superfields (extra)
4/12: 2dimensional spacetime: admissible supersymmetric Lagrangian densities (extra)
4/14: 2dimensional spacetime: unidexterous superfields (extra)
4/16: presentations and discussion
4/19: presentations and discussion
4/21: presentations and discussion
Homework assignments
All homework assignments are due by 5:00 pm of the day indicated and should be either given to the instructor in hand, left in the instructor's mailbox in TKH#105, or slid under the instructor's office door, TKH#213. Late homework will not be accepted, except in cases of proven (medical) emergency.
Collaboration policy
Collaboration  but not blind copying  on the homework and term paper assignments is strongly encouraged; students should use this to learn from each other. However, each student must demonstrate a good understanding of the presentation topic  at the presentation. Failure to do so would imply covered under University regulations on academic dishonesty and cheating.
Coursework presentation and organization
While a neat presentation of homework is not required for full credit, it certainly makes it easier to assess the quality of the work and give the proper credit due. In all cases, include a simple sketch if it might help conveying the approach or the calculations. Where necessary, include: all units and complete symbols, such as the precise measure and limits of an integral, etc., and references for all quoted and cited material.
© Tristan Hübsch, 2000