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- Liberal arts and basic science courses
- Academic unit or major
- Graduate major in Physics
- Instructor(s)
- -
- Class Format
- Lecture (Livestream)
- Media-enhanced courses
- Day/Period(Room No.)
- Intensive ()
- Group
- -
- Course number
- PHY.P685
- Credits
- 1
- Academic year
- 2022
- Offered quarter
- 3Q
- Syllabus updated
- 2022/4/20
- Lecture notes updated
- -
- Language used
- English
- Access Index
-
Course description and aims
Supersymmetry is one of the important notion in particle physics. It appears in many areas not only in particle physics but also theoretical physics and mathematical physics. In this lecture, we focus on the quantum properties of supersymmetric field theory, which are reachable exactly via supersymmetry, and discuss defects which are objects to clarify the properties. After outlining the basics of quantum field theory and supersymmetry, we understand the low energy behavior of four-dimensional supersymmetric gauge theory. In the latter half, we discuss the supersymmetric defects and its relation with mathematical physics, especially integrable system. By these, we aim for an exact understanding of the quantum field theory.
Student learning outcomes
- understand the notions of symmetry and renormalization group in quantum field theory
- understand the quantum behaviors of supersymmetric field theory
- understand the behaviors of defects in supersymmetric field theory
Keywords
Quantum Field Theory, Symmetry, Supersymmetry, Defect, Integrable system
Competencies that will be developed
| ✔ Specialist skills | Intercultural skills | Communication skills | Critical thinking skills | Practical and/or problem-solving skills |
Class flow
Mainly in the format of lectures.
Course schedule/Required learning
| Course schedule | Required learning | |
|---|---|---|
| Class 1 | Introduction | Understand renormalization flows |
| Class 2 | Symmetry and Anomaly | Understand symmetries in quantum field theories and anomalies. |
| Class 3 | Supersymmetry and Representations | Understand supersymmetry and its representations. |
| Class 4 | Super Yang-Mills Theory | Understand a low-energy effective theory of four dimensional supersymmetric Yang-Mills theory |
| Class 5 | Supersymmetry QCD | Understand low-energy effective theories of four-dimensional QCD and Argyres-Douglas theories. |
| Class 6 | Defects | Understand different defects in four-dimensional field theories. |
| Class 7 | Superconformal Index | Understand how to calculate the superconformal index. |
Textbook(s)
None.
Reference books, course materials, etc.
Some reference materials will be distributed in the lectures.
Assessment criteria and methods
Graded based on assignments.
Related courses
- PHY.Q433: Field Theory I
- PHY.Q434: Field Theory II
Prerequisites (i.e., required knowledge, skills, courses, etc.)
Audiences are assumed to be familiar with quantum mechanics and elementary parts of quantum field theory.
