Date Available
12-14-2011
Year of Publication
2006
Document Type
Dissertation
College
Arts and Sciences
Department
Mathematics
First Advisor
Vassily Gorbounov
Abstract
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.
Recommended Citation
Pinzon, Daniel F., "VERTEX ALGEBRAS AND STRONGLY HOMOTOPY LIE ALGEBRAS" (2006). University of Kentucky Doctoral Dissertations. 382.
https://uknowledge.uky.edu/gradschool_diss/382
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