paper

Remarks on E11 approach

arXiv:hep-th/0507183 · doi:10.1142/S0217732306019645

Abstract

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; $E E_{11}$ 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 $S O (10, 10)$ and its square root at first few levels; particle orbit of $l_{1} ⋉ E_{11}$ . Possible relevance of coadjoint orbits method is noticed, based on a self-duality form of equations of motion in $E_{11}$ .

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