nLab D=6 super Yang-Mills theory

Idea

super Yang-Mills theory in dimension 6

Related entries

On ordinary Yang-Mills theory (YM):

• D=2 YM, D=3 YM, D=4 YM, D=5 YM, D=6 YM, D=7 YM, D=8 YM

• Maxwell theory/electromagnetism (U(1) YM), Donaldson theory (SU(2) YM), quantum chromodynamics (SU(3) YM)

• Yang-Mills equation, linearized Yang-Mills equation, Yang-Mills instanton, Yang-Mills field, stable Yang-Mills connection, Yang-Mills moduli space, Yang-Mills flow, F-Yang-Mills equation, Bi-Yang-Mills equation

• Uhlenbeck's singularity theorem, Uhlenbeck's compactness theorem

On variants of Yang-Mills theory and on super Yang-Mills theory (SYM):

• Yang-Mills-Higgs equations, stable Yang-Mills-Higgs pair, Yang-Mills-Higgs flow

• Einstein-Yang-Mills theory, Einstein-Yang-Mills-Dirac theory, Einstein-Yang-Mills-Dirac-Higgs theory

• 3D Yang-Mills-Chern-Simons theory

• 3d superconformal gauge field theory: D=3 N=1 SYM, D=3 N=2 SYM, D=3 N=4 SYM

• 4d superconformal gauge field theory: D=4 N=1 SYM, D=4 N=2 SYM, D=4 N=4 SYM

• D=5 SYM, D=6 SYM, D=7 SYM, D=10 SYM

• topological Yang-Mills theory, topologically twisted D=4 super Yang-Mills theory

• D=6 N=(1,0) SCFT

• D=6 N=(2,0) SCFT

References

• Shuichi Yokoyama, Supersymmetry Algebra in Super Yang-Mills Theories, JHEP09(2015)211 (arXiv:1506.03522)

• Freddy Cachazo, Alfredo Guevara, Matthew Heydeman, Sebastian Mizera, John H. Schwarz, Congkao Wen, The S Matrix of 6D Super Yang-Mills and Maximal Supergravity from Rational Maps, JHEP09(2018)125 (arXiv:1805.11111)

• Evgeny Ivanov, Classical and quantum superfield invariants in $\mathscr{N}$ = (1, 1), 6D SYM theory, Journal of Physics: Conference Series, Volume 965, conference 1 (doi:10.1088/1742-6596/965/1/012021)