# nLab super Yang-Mills theory

## Surveys, textbooks and lecture notes

#### $\infty$-Chern-Weil theory

∞-Chern-Weil theory

∞-Chern-Simons theory

∞-Wess-Zumino-Witten theory

# Comntents

## Idea

A supersymmetric extension of plain Yang-Mills theory.

## Properties

### Classification

The existence of super Yang-Mills theories of a certain number of supersymmetries in a certain dimension of spacetime is linked to the existence of certain cocycles on the super Poincaré Lie algebra (thos that also govern the brane scan). These in turn are closely related to the normed division algebras. A comparatively recent account is in (ABDH 13). See also at division algebra and supersymmetry.

## Examples

Special properties are enjoyed by

See there for more details.

## References

A general introduction is for instance

as well as various of the lectures in the collection

The deformation theory of SYM theories is discussed in

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)

The chiral rings of sYM are discussed in

Classification in terms of division algebra and supersymmetry is in

• A. Anastasiou, L. Borsten, Mike Duff, L. J. Hughes, S. Nagy, Super Yang-Mills, division algebras and triality (arXiv:1309.0546)

Revised on December 11, 2013 05:55:46 by Urs Schreiber (89.204.130.40)