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The course 'Supersymmetry in Theoretical Physics' is part of the educational program of Delta ITP, a joint initiative between the Universities of Leiden (UL), Utrecht (UU), and Amsterdam (UvA). The lectures are given by professors from these three universities, on topics that change every year.

Event details of Fall 2015 Supersymmetry in Theoretical Physics
Start date 7 September 2015
End date 14 December 2015
Time 11:00

This is an advanced master level  course, also suitable for PhD students and postdocs. This Spring semester course will be divided into three 5-weeks blocks; for each module there are four lectures and four exercise sessions. At the end of each modules there is an exam. 

PhD students are not obliged to do the exams, which are meant for Master students who intend to use this course as part of their Master Program. 
Please note that to get the full 6EC credit, students must take the exam for each of the three modules. The final grade is the average of the three exams.

Summary

Module 1: Supersymmetric Quantum Mechanics  - Diego Hofman (Amsterdam) 
Module 2: Supersymmetric Field Theory and a Sprinkling of Phenomenology - Jan Willem van Holten (Leiden) 
Module 3: Supergravity - Stefan Vandoren (Utrecht)

 

Lectures will take place on Mondays at 11:15 - 13:00, followed by a study/exercise session 13:45 - end. The location of this semester's course will be at Leiden University, Niels Bohrweg 2, Leiden. 

Module 1: Supersymmetric Quantum Mechanics  - Diego Hofman (Amsterdam)

Lectures: Sep 7, 14, 21, 28     
Please note: There will be NO lecture on the 14th ! 
Location: Leiden University, Huygens Laboratory, room 106 
EXAM: Oct 5th 

Motivation and examples in standard quantum mechanics. Susy algebra. Cohomology. 0 dimensional quantum mechanics. Localization and deformations. Chiral Ring. 1 dimensional quantum mechanics. Traces versus integrals. Nonlinear sigma models. Fermions and grading. Witten index. Susy breaking. Index theorems.

Course material: 
Mostly chapters 9 and 10 in the Mirror Symmetry book by Hori et. al.




Module 2: Supersymmetric Field Theory and a Sprinkling of Phenomenology - Jan Willem van Holten (Leiden)

Lectures: Oct 12, 19, 26, Nov 2 
(Guest lecturer Wim Beenakker (RU) on the Minimally Supersymmetric Standard Model) 
Location: Leiden University, Huygens Laboratory, room 106 
EXAM: Nov 9 

We discuss gauge theories in 4-D Minkoswki space and their supersymmetric extensions, with applications to generalize the Standard Model of particle physics.

Course material: 
Private lecture notes and exercises.
Books:
Bailin and Love, "Supersymmetric Gauge Field Theory and String Theory"
Freedman and Van Proeyen, "Supergravity" and many others.



Module 3: Supergravity - Stefan Vandoren (Utrecht)

Lectures: Nov 16, 23, 30, Dec 7 
Location: Leiden University, Huygens Laboratory, room 106 
EXAM: Dec 14 

In this module, we discuss aspects of supergravity in four spacetime dimensions. We analyze the Rarita-Schwinger equation for spin 3/2 particles and use it to construct minimal supergravity. Then we discuss how to couple matter and gauge fields to supergravity and do the basics of supersymmetry breaking in supergravity.

Course Material: Handwritten lecture notes, based on the book “Supergravity” by D. Freedman and A. Van Proeyen.

Contact

Prof. Jean-Sébastien Caux | e-mail: j.s.caux [at] uva.nl

Institute for Theoretical Physics | Institute of Physics | University of Amsterdam | Science Park 904, room C4.262 | 1098 XH Amsterdam

Prof. Cristiane Morais Smith |e-mail: c.demoraissmith [at] uu.nl 

Institute for Theoretical Physics | Utrecht University | Minnaert building, room 306

Prof. Koenraad Schalm | e-mail: kschalm [at] lorentz.leidenuniv.nl

Institute-Lorentz for Theoretical Physics | Leiden University | Niels Bohrweg 2, room 241 | 2335 CA Leiden