Date Available
12-14-2011
Year of Publication
2006
Document Type
Dissertation
College
Arts and Sciences
Department/School/Program
Mathematics
Faculty
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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