65-413 Supersymmetry and geometry (in English)

Course offering details

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.

Appointments
Date From To Room Instructors
1 Mon, 12. Apr. 2021 10:15 11:45 Digital Prof. Dr. Jörg Alexander Teschner
2 Mon, 19. Apr. 2021 10:15 11:45 Digital Prof. Dr. Jörg Alexander Teschner
3 Mon, 26. Apr. 2021 10:15 11:45 Digital Prof. Dr. Jörg Alexander Teschner
4 Mon, 3. May 2021 10:15 11:45 Digital Prof. Dr. Jörg Alexander Teschner
5 Mon, 10. May 2021 10:15 11:45 Digital Prof. Dr. Jörg Alexander Teschner
6 Mon, 17. May 2021 10:15 11:45 Digital Prof. Dr. Jörg Alexander Teschner
7 Mon, 31. May 2021 10:15 11:45 Digital Prof. Dr. Jörg Alexander Teschner
8 Mon, 7. Jun. 2021 10:15 11:45 Digital Prof. Dr. Jörg Alexander Teschner
9 Mon, 14. Jun. 2021 10:15 11:45 Digital Prof. Dr. Jörg Alexander Teschner
10 Mon, 21. Jun. 2021 10:15 11:45 Digital Prof. Dr. Jörg Alexander Teschner
11 Mon, 28. Jun. 2021 10:15 11:45 Digital Prof. Dr. Jörg Alexander Teschner
12 Mon, 5. Jul. 2021 10:15 11:45 Digital Prof. Dr. Jörg Alexander Teschner
Exams in context of modules
Module (start semester)/ Course Requirement combination Exam Date Instructors Compulsory pass
Ma-M-MPAT_1 Selected Topics in Mathematical Physics 1 (SuSe 21) / M-MPAT-V  Supersymmetry and geometry (in English) Exam 1  Oral exam Time tbd Prof. Dr. Jörg Alexander Teschner Yes
Ma-M-MPAT_2 Selected Topics in Mathematical Physics 2 (SuSe 21) / M-MPAT-V  Supersymmetry and geometry (in English) Examination 1  Oral exam Time tbd Prof. Dr. Jörg Alexander Teschner Yes
Class session overview
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Instructors
Prof. Dr. Jörg Alexander Teschner