How to embed 'open' Lie superalgebras into affine Kac-Moody superalgebras

Claudia Daboul, Jamil Daboul, Marc De Montigny

Research output: Contribution to journalArticlepeer-review

Abstract

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.

Original languageEnglish
Article number012018
JournalJournal of Physics: Conference Series
Volume284
Issue number1
DOIs
StatePublished - 1 Jan 2011

ASJC Scopus subject areas

  • Physics and Astronomy (all)

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