SU(5)-invariant decomposition of ten-dimensional Yang-Mills supersymmetry

Understand

The N=1,d=10 superYang-Mills action is constructed in a twisted form, using SU(5)-invariant decomposition of spinors in 10 dimensions.

• The action and its off-shell closed twisted scalar supersymmetry operator Q derive from a Chern-Simons term.
• The action can be decomposed as the sum of a term in the cohomology of Q and of a term that is Q-exact.
• The first term is a fermionic Chern-Simons term for a twisted component of the Majorana-Weyl gluino and it is related to the second one by a twisted vector supersymmetry with 5 parameters.