Vertex Ring-Indexed Lie Algebras

Details Vertex Ring-Indexed Lie Algebras Vertex Ring-Indexed Lie Algebras

2005-05-05

arxiv.org/abs/hep-th/0505053v2

Phys.Lett.B620:195-199,2005

Physics

High Energy Physics

High Energy Physics - Theory

Plain LaTex2e, 7 pages

Scientific paper

10.1016/j.physletb.2005.06.033

Infinite-dimensional Lie algebras are introduced, which are only partially graded, and are specified by indices lying on cyclotomic rings. They may be thought of as generalizations of the Onsager algebra, but unlike it, or its sl(n) generalizations, they are not subalgebras of the loop algebras associated with sl(n). In a particular interesting case associated with sl(3), their indices lie on the Eisenstein integer triangular lattice, and these algebras are expected to underlie vertex operator combinations in CFT, brane physics, and graphite monolayers.

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