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[Print style]

Lecture course "Supersymmetry: Mathematical Structure and Physical Application", WS 2010/2011 [Poster]

Supersymmetry is a very important and broad field, with applications ranging from condensed matter theory over extensions of the standard model of particle physics up to string theory. Moreover, there are close ties to deep mathematical questions, especially at the boundary between geometry and topology. The famous Atiyah-Singer index theorem is one of the main examples where ideas from supersymmetry led to a conceptually simple proof.

This lecture will focus on mathematical aspects of supersymmetry and applications in condensed matter physics. There is a complementary lecture on supersymmetry by Herbie Dreiner at the University of Bonn which will focus on phenomenological aspects in particle physics. While his lecture is open to experimentalists, I will rather try to address questions that might also be of interest for students in mathematics. [It should however not be expected to get proofs for every single statement.]

Outline of potential topics:

Prerequisites: Basic knowledge in quantum mechanics and Lie algebras.

Time and location: Wednesday, 14.00-15.30, Conference Room in the Institute of Theoretical Physics. The first meeting will take place on October 13 and will be used to assess the background and interests of those participating. There is no separate exercise class but exercises might be included in the lecture.

Note: The successful participation of the course (passing an oral examination) will be rewarded with 4 ECTS points. The lecture is part of the BCGS Curriculum. Hand written lecture notes are available upon request.

Schedule

Exercises