English

Lectures on 4d N=1 dynamics and related topics

High Energy Physics - Theory 2024-03-08 v2

Abstract

This lecture series consists of mostly independent three parts: Part 1: a tour of basic 4d N=1 supersymmetric dynamics, covering the pure super Yang-Mills, the Seiberg duality for classical groups, the supersymmetric index on S^3, and the a-maximization. Part 2: a brief look at 2d N=(2,2) and N=(0,2) dynamics, covering the Landau-Ginzburg and Calabi-Yau models, the elliptic genera on T^2, and the triality of Gadde-Gukov-Putrov. Appendix: a review of basic properties of supersymmetries in various dimensions. Part of the content is based on an unpublished collaboration with F. Yagi and another with K. Kikuchi.

Keywords

Cite

@article{arxiv.1812.08946,
  title  = {Lectures on 4d N=1 dynamics and related topics},
  author = {Yuji Tachikawa},
  journal= {arXiv preprint arXiv:1812.08946},
  year   = {2024}
}

Comments

Any type of comments will be greatly appreciated. 160 pages. Based on lectures at Tohoku University, Osaka University, Kyoto University and Nagoya University in the last several years; v2: minor typos fixed

R2 v1 2026-06-23T06:52:12.096Z