Chiral vector bundles
by Eller, Timothy Stephen, Ph.D., UNIVERSITY OF CALIFORNIA, LOS ANGELES, 2010, 52 pages; 3431891

Abstract:

Given a smooth G-vector bundle E → M with a connection ∇, we propose the construction of a sheaf of vertex algebras [special characters omitted], which we call a chiral vector bundle. [special characters omitted] contains as subsheaves the sheaf of superalgebras Ω ⊗ Γ( SE ⊗ ΛE) and the sheaf of Lie algebras generated by ∇, the infinitesimal gauge transformations of E, and the contraction operators ιX on differential forms Ω. Another important subsheaf of [special characters omitted] is the chiral vector bundle [special characters omitted], which is closely related to the chiral de Rham sheaf of Malikov et alii.

 
AdviserKefeng Liu
SchoolUNIVERSITY OF CALIFORNIA, LOS ANGELES
SourceDAI/B 71-12, p. , Dec 2010
Source TypeDissertation
SubjectsMathematics; Theoretical mathematics; Theoretical physics
Publication Number3431891
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