Year of Publication
Arts and Sciences
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.
Pinzon, Daniel F., "VERTEX ALGEBRAS AND STRONGLY HOMOTOPY LIE ALGEBRAS" (2006). University of Kentucky Doctoral Dissertations. 382.