Instructors: Prof. Dr. Jörg Alexander Teschner
Event type:
Lecture
Displayed in timetable as:
M-MPAT-V
Hours per week:
2
Language of instruction:
English
Min. | Max. participants:
- | -
Comments/contents:
The goals of these lectures are two-fold: On the one hand we will offer an introduction to basic aspects of supersymmetry
that could be useful for students of mathematics and theoretical physicists. The other goal is to introduce geometric structures known under the names of Kaehler, hyper-Kaehler and special Kaehler geometry, and to explain how these geometric structures are related to supersymmetry.
This will be done in three main examples, the relations between
- N=1 , d=4 supersymmetry and Kaehler geometry,
- N=4, d=3 supersymmetry and hyper-Kaehler geometry,
- N=2, d=4 supersymmetry and special Kaehler geometry,
respectively. If time permits we will end with an introduction into geometric aspects of Seiberg-Witten theory.
Prerequisites:
We will try to be as self-contained as possible. Some knowledge of basic concepts from differential geometry like the
notion of a differentiable manifold and a Riemannian metric will be needed. Other concepts like complex structures will
not be required but briefly introduced in the lectures. Apart from this we'll need fairly basic concepts and results from the theory of Lie groups and Lie algebras, and their representations.
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