nLab
super Yang-Mills theory

Idea

A supersymmetric extension of plain Yang-Mills theory.

Examples

Special properties are enjoyed by

• N=2 D=4 super Yang-Mills theory

• N=4 D=3 super Yang-Mills theory

• N=4 D=4 super Yang-Mills theory

• D=5 super Yang-Mills theory

See there for more details.

References

A general introduction is for instance

• Eric D'Hoker, D. H. Phong, Lectures on Supersymmetric Yang-Mills Theory and Integrable Systems (arXiv:hep-th/9912271)

as well as various of the lectures in the collection

• Pierre Deligne et al., Quantum Fields and Strings

The deformation theory of SYM theories is discussed in

• Albert Schwarz, Michael Movshev, Supersymmetric Deformations of Maximally Supersymmetric Gauge Theories (arXiv:0910.0620)

Special properties of scattering amplitudes are discussed for instance in

• Nima Arkani-Hamed, Jacob L. Bourjaily, Freddy Cachazo, Alexander B. Goncharov, Alexander Postnikov, Jaroslav Trnka, Scattering Amplitudes and the Positive Grassmannian (arXiv:1212.5605)