Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2005-03-30
Phys.Lett. B619 (2005) 171-176
Physics
High Energy Physics
High Energy Physics - Theory
9 pages
Scientific paper
10.1016/j.physletb.2005.05.048
In ten space-time dimensions the number of Majorana-Weyl fermions is not conserved, not only during the time evolution, but also by rotations. As a consequence the empty Fock state is not rotationally symmetric. We construct explicitly the simplest singlet state which provides the starting point for building up invariant SO(9) subspaces. The state has non-zero fermion number and is a complicated combination of the 1360 elementary, gauge invariant, gluinoless Fock states with twelve fermions. Fermionic structure of higher irreps of SO(9) is also briefly outlined.
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