Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2005-07-19
Mod.Phys.Lett. A21 (2006) 503-514
Physics
High Energy Physics
High Energy Physics - Theory
Two references added
Scientific paper
10.1142/S0217732306019645
We consider a few topics in $E_{11}$ approach to superstring/M-theory: even subgroups ($Z_2$ orbifolds) of $E_{n}$, n=11,10,9 and their connection to Kac-Moody algebras; $EE_{11}$ subgroup of $E_{11}$ and coincidence of one of its weights with the $l_1$ weight of $E_{11}$, known to contain brane charges; possible form of supersymmetry relation in $E_{11}$; decomposition of $l_1$ w.r.t. the $SO(10,10)$ and its square root at first few levels; particle orbit of $l_1 \ltimes E_{11}$. Possible relevance of coadjoint orbits method is noticed, based on a self-duality form of equations of motion in $E_{11}$.
Mkrtchyan H.
Mkrtchyan Ruben
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