Vertex Ring-Indexed Lie Algebras
arXiv:hep-th/0505053 · doi:10.1016/j.physletb.2005.06.033
Abstract
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.
Plain LaTex2e, 7 pages
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Cited by in corpus (7)
- The q-deformed analogue of the Onsager algebra: Beyond the Bethe ansatz approach
- Ternary Virasoro - Witt Algebra
- Sylvester-t' Hooft generators of sl(n) and sl(n|n), and relations between them
- Lie algebras associated with one-dimensional aperiodic point sets
- Grassmann Variables in Jordan Matrix Models
- An Atavistic Lie Algebra
- The SU(3) Algebra in a Cyclic Basis