Embedding of "open" superalgebras into affine Kac-Moody superalgebras

Claudia Daboul, Jamil Daboul, Marc de Montigny

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2 Scopus citations


We define the concepts of open Lie superalgebras and their closure and study their embedding into affine Kac-Moody (KM) superalgebras. We distinguish between two types of open algebras, whose closures typically yield twisted or untwisted KM superalgebras. We show that the open dynamical symmetry superalgebra S 0 of the Dirac theory of the Taub-NUT model, studied by Cotǎescu and Visinescu [J. Phys. A40, 11987 (2007)], cannot be embedded into a twisted KM superalgebra, in contrast to their claim. Our analysis of the above relativistic model reveals the deeper reason of why the hydrogen algebras H N, studied by Daboul and Slodowy, must be "twisted-like" (genuinely and not-genuinely twisted) KM subalgebras.

Original languageEnglish
Article number009004JMP
JournalJournal of Mathematical Physics
Issue number5
StatePublished - 1 May 2010

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Mathematical Physics


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