陳-西蒙斯理論

若（G，M）是主丛，M是流形，G是李群 / 规范群，A是联络，陈西蒙斯作用量是

${\displaystyle S={\frac {k}{4\pi }}\int _{M}{\text{tr}}\,(A\wedge dA+{\tfrac {2}{3}}A\wedge A\wedge A).}$

F是曲率：

${\displaystyle F=dA+A\wedge A\,}$

陈西蒙斯公式用最小作用量原理：

${\displaystyle 0={\frac {\delta S}{\delta A}}={\frac {k}{2\pi }}F.}$

三维的陈-西蒙斯理论生成很多重要的纽结多项式和纽结不变量：[1]

拓扑量子计算机是一种量子计算机。陈西蒙斯理论陈述有些拓扑量子计算机的模型，例如“杨李模型”（Fibonacci model），这是最简单的非阿贝尔任意子拓扑量子计算机之一。[2][3]

• 陳-西蒙斯理論是最有名的拓撲量子場論之一
• 拓撲量子場論
• Wess-Zumino-Witten模型
• 紐結理論

• Chern, S.-S. & Simons, J. . Annals of Mathematics. 1974, 99 (1): 48–69. doi:10.2307/1971013.
• Deser, Stanley; Jackiw, Roman; Templeton, S. (PDF). Physical Review Letters. 1982, 48: 975–978 [2019-12-28]. Bibcode:1982PhRvL..48..975D. doi:10.1103/PhysRevLett.48.975. （原始内容存档 (PDF)于2018-07-24）.
• Intriligator, Kenneth; Seiberg, Nathan. . Journal of High Energy Physics. 2013. Bibcode:2013JHEP...07..079I. arXiv:1305.1633 . doi:10.1007/JHEP07(2013)079.
• Jackiw, Roman; Pi, S.-Y. . Physical Review D. 2003, 68: 104012. Bibcode:2003PhRvD..68j4012J. arXiv:gr-qc/0308071 . doi:10.1103/PhysRevD.68.104012.
• Kulshreshtha, Usha; Kulshreshtha, D.S.; Mueller-Kirsten, H. J. W.; Vary, J. P. . Physica Scripta . 2009, 79: 045001. Bibcode:2009PhyS...79d5001K. doi:10.1088/0031-8949/79/04/045001.
• Kulshreshtha, Usha; Kulshreshtha, D.S.; Vary, J. P. . Physica Scripta. 2010, 82: 055101. Bibcode:2010PhyS...82e5101K. doi:10.1088/0031-8949/82/05/055101.
• Lopez, Ana; Fradkin, Eduardo. . Physical Review B. 1991, 44: 5246. Bibcode:1991PhRvB..44.5246L. doi:10.1103/PhysRevB.44.5246.
• Marino, Marcos. . Reviews of Modern Physics. 2005, 77 (2): 675–720. Bibcode:2005RvMP...77..675M. arXiv:hep-th/0406005 . doi:10.1103/RevModPhys.77.675.
• Marino, Marcos. . International Series of Monographs on Physics. Oxford University Press. 2005.
• Witten, Edward. . Communications in Mathematical Physics. 1988, 117: 353 [2020-09-21]. Bibcode:1988CMaPh.117..353W. doi:10.1007/BF01223371. （原始内容存档于2017-08-25）.
• Witten, Edward. . Communications in Mathematical Physics. 1989, 121 (3): 351–399. Bibcode:1989CMaPh.121..351W. MR 0990772. doi:10.1007/BF01217730.
• Witten, Edward. . Progress in Mathematics. 1995, 133: 637–678. Bibcode:1992hep.th....7094W. arXiv:hep-th/9207094 .