Abstract/Details

Chiral vector bundles


2010 2010

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Abstract (summary)

Given a smooth G-vector bundle EM 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.

Indexing (details)


Subject
Mathematics;
Theoretical Mathematics;
Theoretical physics
Classification
0405: Mathematics
0642: Theoretical Mathematics
0753: Theoretical physics
Identifier / keyword
Pure sciences; Chiral vector; Differential geometry; Vector bundles; Vertex algebras
Title
Chiral vector bundles
Author
Eller, Timothy Stephen
Number of pages
52
Publication year
2010
Degree date
2010
School code
0031
Source
DAI-B 71/12, Dissertation Abstracts International
Place of publication
Ann Arbor
Country of publication
United States
ISBN
9781124328065
Advisor
Liu, Kefeng
University/institution
University of California, Los Angeles
University location
United States -- California
Degree
Ph.D.
Source type
Dissertations & Theses
Language
English
Document type
Dissertation/Thesis
Dissertation/thesis number
3431891
ProQuest document ID
814746350
Copyright
Database copyright ProQuest LLC; ProQuest does not claim copyright in the individual underlying works.
Document URL
http://search.proquest.com/docview/814746350
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