DeWitt-Virasoro Construction in Tensor Representations
Author
Source
Advances in High Energy Physics
Issue
Vol. 2012, Issue 2012 (31 Dec. 2012), pp.1-33, 33 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2012-11-06
Country of Publication
Egypt
No. of Pages
33
Main Subjects
Abstract EN
We generalize the DeWitt-Virasoro (DWV) construction of arXiv:0912.3987 [hep-th] to tensor representations of higher ranks.
A rank-n tensor state, which is by itself coordinate invariant, is expanded in terms of position eigenstates that transform as tensors of the same rank.
The representation of the momentum operator in these basis states is then obtained by generalizing DeWitt's argument (1952).
Such a representation is written in terms of certain bivector of parallel displacement and its covariant derivatives.
With this machinery at hand we find tensor representations of the DWV generators defined in the previous work.
The results differ from those in spin-zero representation by additional terms involving the spin connection.
However, we show that the DWV algebra found earlier as a scalar expectation value remains the same, as required by consistency, as all the additional contributions conspire to cancel in various ways.
In particular, vanishing of the anomaly term requires the same condition of Ricci-flatness for the background.
American Psychological Association (APA)
Mukhopadhyay, Partha. 2012. DeWitt-Virasoro Construction in Tensor Representations. Advances in High Energy Physics،Vol. 2012, no. 2012, pp.1-33.
https://search.emarefa.net/detail/BIM-470361
Modern Language Association (MLA)
Mukhopadhyay, Partha. DeWitt-Virasoro Construction in Tensor Representations. Advances in High Energy Physics No. 2012 (2012), pp.1-33.
https://search.emarefa.net/detail/BIM-470361
American Medical Association (AMA)
Mukhopadhyay, Partha. DeWitt-Virasoro Construction in Tensor Representations. Advances in High Energy Physics. 2012. Vol. 2012, no. 2012, pp.1-33.
https://search.emarefa.net/detail/BIM-470361
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-470361