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VERTEX ALGEBRAS AND STRONGLY HOMOTOPY LIE ALGEBRAS

Vertex algebras and strongly homotopy Lie algebras (SHLA) are extensively used in qunatum field theory and string theory. Recently, it was shown that a Courant algebroid can be naturally lifted to a SHLA. The 0-product in the de Rham chiral algebra has an identical formula to the Courant bracket of vector fields and 1-forms. We show that in general, a vertex algebra has an SHLA structure and that the de Rham chiral algebra has a non-zero l4 homotopy.

Identiferoai:union.ndltd.org:uky.edu/oai:uknowledge.uky.edu:gradschool_diss-1385
Date01 January 2006
CreatorsPinzon, Daniel F.
PublisherUKnowledge
Source SetsUniversity of Kentucky
Detected LanguageEnglish
Typetext
Formatapplication/pdf
SourceUniversity of Kentucky Doctoral Dissertations

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