We discuss the concepts of open Lie superalgebras and their closure, and describe the procedure of embedding the closure into affine twisted and untwisted Kac-Moody superalgebras. We apply the formalism to an open algebra of a relativistic model obtained by Cotescu and Visinescu [J. Phys. A 40 (2007) 11987]. This yields an intuitive explanation of why the hydrogen algebras, studied by Daboul and Slodowy, must be 'twisted-like' KM subalgebras.
ASJC Scopus subject areas
- Physics and Astronomy (all)