N=2 supersymmetric theory in d=4

introduction

• the Lagrangian and the Seiberg-Witten solutions of SU(2) gauge theories
• Argyres-Douglas CFTs and Gaiotto dualities
• 1994, Seiberg-Witten exact solutions in 4D gauge field theory 사이버그와 위튼이 발견한 정확한 해의 발견 (4차원 게이지 장론의 최초의 정확한 해)
• 2002, Nekrasov, instanton partition function method 네크라소프의 인스탄톤 분배함수 방법
• 2009, Gaioto 끈이론 대응성을 이용해서 대응성 예를 대폭 확장
• 가이오토 결과의 중요한 후속성과 중 하나인 AGT 즉 알데이-가이오토-타치카와 추측
• 이 중에서 네크라소프 방법은 별도로 리뷰를 준비하고 있으며

related items

• Seiberg-Witten theory
• Twisted N=1 and N=2 supersymmetry on R^4
• N = 1 supersymmetry algebra
• BPS states and Wall-Crossing
• Elliptic Calogero-Moser model and AGT conjecture

expositions

• Tachikawa, Yuji. 2013. “N=2 Supersymmetric Dynamics for Dummies.” arXiv:1312.2684 [hep-Th] (December 10). http://arxiv.org/abs/1312.2684.
• Moore, Gregory W. 2012. “Four-Dimensional N=2 Field Theory and Physical Mathematics.” arXiv:1211.2331 [hep-Th, Physics:math-Ph] (November 10). http://arxiv.org/abs/1211.2331.
• Moore, Surface Defects and the BPS Spectrum of 4d N=2 Theories
• 2009. Recent progress in N=2 4d field theory
• Guica, Monica, and Andrew Strominger. 2007. “Cargèse Lectures on String Theory with Eight Supercharges.” Nuclear Physics B. Proceedings Supplement 171: 39–68. doi:10.1016/j.nuclphysbps.2007.06.007.
• D’Hoker, Eric, and D. H. Phong. 1999. “Lectures on Supersymmetric Yang-Mills Theory and Integrable Systems.” arXiv:hep-th/9912271 (December 29). http://arxiv.org/abs/hep-th/9912271.

encyclopedia

• http://ncatlab.org/nlab/show/N%3D2+D%3D4+super+Yang-Mills+theory