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Vertex Ring-Indexed Lie Algebras

Fairlie, D.B.; Zachos, C.K.

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Authors

D.B. Fairlie

C.K. Zachos



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 generalisations of the Onsager algebra, but unlike it or its sl(n) generalisations, they are not subalgebras of loop algebras associated with sln(n). In a particularly interesting ase associalte with sl(3), their indices lie on the Eisenstein integer triangular lattice and these algebras are expected to undelie vertex operator combinations in CFT, brane physics and graphite monolayers.

Citation

Fairlie, D., & Zachos, C. (2005). Vertex Ring-Indexed Lie Algebras. Physics Letters B, 620(3-4), 195-199. https://doi.org/10.1016/j.physletb.2005.06.033

Journal Article Type Article
Publication Date 2005-08
Deposit Date Apr 23, 2007
Publicly Available Date Apr 27, 2009
Journal Physics Letters B
Print ISSN 0370-2693
Publisher Elsevier
Peer Reviewed Peer Reviewed
Volume 620
Issue 3-4
Pages 195-199
DOI https://doi.org/10.1016/j.physletb.2005.06.033

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