**Lecturer**: Prof. Susanne Reffert

**Place**:
ExWi B001

**Time**: HS2016 - every Tuesday, 10:15 - 12:00.

In this course, I will review supersymmetric gauge theories in 4 and 3 spacetime dimensions. I will discuss (Seiberg-like) dualities among these gauge theories, focusing on the example of supersymmetric QCD specific to 4 and 3 dimensions. Towards the end of the course, I will touch upon the non-trivial problem of reducing 4D dualities to 3D dualities, as well as brane-realizations of the gauge theories in question.

- Introduction/Motivation
- 4D
- Supersymmetric gauge theories in 4D: N=1, N=2, N=4
- Electric/magnetic duality
- SQCD (matter content, global symmetries, moduli space, phase structure, RG analysis)
- Seiberg duality

- 3D
- SQCD in 3D
- 3D dualities

- Reduction from 4D to 3D
- Brane picture

- J.Polchinski,
*Dualities of Fields and Strings*, arXiv:1412.5704 - M. Dine, Ch. 9 from
*Supersymmetry and String Theory,*Cambridge University Press - M. Bertolini, Ch. 6 from
*Lectures on Supersymmetry* - N. Seiberg,
*Electric - magnetic duality in supersymmetric non-Abelian gauge theories*, hep-th/9411149 - K. Intriligator, N. Seiberg,
*Lectures on supersymmetric gauge theories and electric-magnetic duality*, hep-th/9509066 - O. Aharony,
*IR duality in d = 3 N=2 supersymmetric USp(2N(c)) and U(N(c)) gauge theories.*, hep-th/9703215 - O. Aharony, S. S. Razamat, N. Seiberg, and B. Willett.
*3d dualities from 4d dualities.*arXiv: 1305.3924 [hep-th].

The material of this course is more or less contained in my review article String theory and the 4D/3D reduction of Seiberg duality. A Review. However in the review, there is less emphasis on the introductory material and a lot more advanced material, in particular many generalizations of the dualities discussed in the course.