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

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

2010-09-20

arxiv.org/abs/1009.3893v2

Phys.Lett.B698:63-67,2011

Physics

High Energy Physics

High Energy Physics - Theory

10 pages

Scientific paper

10.1016/j.physletb.2010.12.044

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. The cohomology of Q and some topological observables are defined from descent equations. In this SU(5)

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