2023 Faculty Courses School of Science Department of Physics Graduate major in Physics
Advanced Special Lectures in Physics XLVII
- Academic unit or major
- Graduate major in Physics
- Instructor(s)
- Yasuyuki Hatsuda
- Class Format
- Lecture (Face-to-face)
- Media-enhanced courses
- -
- Day of week/Period
(Classrooms) - Intensive
- Class
- -
- Course Code
- PHY.P688
- Number of credits
- 100
- Course offered
- 2023
- Offered quarter
- 4Q
- Syllabus updated
- Jul 8, 2025
- Language
- English
Syllabus
Course overview and goals
In recent years, the eigenvalue problem or the two-point boundary value problem has been studied from the viewpoint of quantum field theory and string theory. This approach provides a new analytical method for the eigenvalue problem. In this lecture, we solve some simple eigenvalue problems using supersymmetric gauge theory, especially the Seiberg-Witten theory. The present method can be applied to the quantum integrable model and quasi-normal modes in black-hole physics.
Course description and aims
The purpose of the lecture is to understand supersymmetric gauge theories and the method of solving eigenvalue problems using gauge theory. We also learn its application to quantum Integrable Models and quasi-normal modes in black-hole physics.
Keywords
Supersymmetric gauge theory, Seibeg-Witten theory, eigenvalue problem, quasi-normal modes
Competencies
- Specialist skills
- Intercultural skills
- Communication skills
- Critical thinking skills
- Practical and/or problem-solving skills
Class flow
The intensive lectures are given in the follwoing schedule: 12/5 (Tue) 13:45-15:25, 15:40-17:20
12/6 (Wed) 13:45-15:25, 15:40-17:20
12/19 (Tue) 13:45-15:25, 15:40-17:20
12/20 (Wed) 13:45-15:25, 15:40-17:20
Course schedule/Objectives
| Course schedule | Objectives | |
|---|---|---|
| Class 1 | Overview | The lecturer will instruct during classes. |
| Class 2 | eigenvalue problem in quantum mechanics | |
| Class 3 | On supersymmetric gauge theory | |
| Class 4 | application to quantum integrable system | |
| Class 5 | application to quantum integrable system | |
| Class 6 | application to black hole perturbation theory | |
| Class 7 | application to black hole perturbation theory | |
| Class 8 | Some supplement issues |
Study advice (preparation and review)
Textbook(s)
none required
Reference books, course materials, etc.
specified during the course
Evaluation methods and criteria
Graded based on assignments.
Related courses
- PHY.Q433 : Field Theory I
- PHY.Q434: Field Theory II
Prerequisites
Not required