N=2 supersymmetric theory in d=4

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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, Alday-Gaiotto-Tachikawa conjecture
  • 이 중에서 네크라소프 방법은 별도로 리뷰를 준비하고 있으며

related items

encyclopedia


expositions

  • Szabo, Richard J. “N=2 Gauge Theories, Instanton Moduli Spaces and Geometric Representation Theory.” arXiv:1507.00685 [hep-Th, Physics:math-Ph], July 2, 2015. http://arxiv.org/abs/1507.00685.
  • Teschner, Jörg. ‘Exact Results on N=2 Supersymmetric Gauge Theories’. arXiv:1412.7145 [hep-Th], 22 December 2014. http://arxiv.org/abs/1412.7145.
  • 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.
  • Lerche, W. 1997. “Introduction to Seiberg-Witten Theory and Its Stringy Origin.” Fortschritte Der Physik. Progress of Physics 45 (3-4): 293–340. doi:10.1002/prop.2190450304.

articles

  • Drukker, Nadav. “The ${\cal N}=4$ Schur Index with Polyakov Loops.” arXiv:1510.02480 [hep-Th], October 8, 2015. http://arxiv.org/abs/1510.02480.
  • Xie, Dan, and Shing-Tung Yau. “4d N=2 SCFT and Singularity Theory Part I: Classification.” arXiv:1510.01324 [hep-Th], October 5, 2015. http://arxiv.org/abs/1510.01324.
  • Hollowood, Timothy J., and S. Prem Kumar. “Partition Function of N=2* SYM on a Large Four-Sphere.” arXiv:1509.00716 [hep-Th], September 2, 2015. http://arxiv.org/abs/1509.00716.
  • Bershtein, Mikhail, Giulio Bonelli, Massimiliano Ronzani, and Alessandro Tanzini. “Exact Results for ${\cal N}=2$ Supersymmetric Gauge Theories on Compact Toric Manifolds and Equivariant Donaldson Invariants.” arXiv:1509.00267 [hep-Th, Physics:math-Ph], September 1, 2015. http://arxiv.org/abs/1509.00267.
  • Liendo, Pedro, Israel Ramirez, and Jihye Seo. “Stress-Tensor OPE in N=2 Superconformal Theories.” arXiv:1509.00033 [hep-Th], August 31, 2015. http://arxiv.org/abs/1509.00033.
  • Bourdier, Jun, Nadav Drukker, and Jan Felix. “The Exact Schur Index of $\mathcal{N}=4$ SYM.” arXiv:1507.08659 [hep-Th], July 30, 2015. http://arxiv.org/abs/1507.08659.
  • Cordova, Clay, and Shu-Heng Shao. ‘Schur Indices, BPS Particles, and Argyres-Douglas Theories’. arXiv:1506.00265 [hep-Th], 31 May 2015. http://arxiv.org/abs/1506.00265.
  • Cecotti, Sergio, Andrew Neitzke, and Cumrun Vafa. ‘Twistorial Topological Strings and a Tt* Geometry for N=2 Theories in 4d’. arXiv:1412.4793 [hep-Th], 15 December 2014. http://arxiv.org/abs/1412.4793.