Editing Chern–Simons theory (section)

===Chern–Simons matter theories===
In 2013 Kenneth A. Intriligator and [[Nathan Seiberg]] solved these 3d Chern–Simons gauge theories and their phases using [[Seiberg-Witten monopole|monopole]]s carrying extra degrees of freedom. The [[Witten index]] of the many [[vacuum state|vacua]] discovered was computed by compactifying the space by turning on mass parameters and then computing the index. In some vacua, [[supersymmetry]] was computed to be broken. These monopoles were related to [[condensed matter physics|condensed matter]] [[quantum vortex|vortices]]. ({{harvtxt|Intriligator|Seiberg|2013}})

The ''N''&nbsp;=&nbsp;6 Chern–Simons matter theory is the [[AdS/CFT correspondence|holographic dual]] of M-theory on <math>AdS_4\times S_7</math>.