![](/images/graphics-bg.png)
Higher-Stage Noether Identities and Second Noether Theorems
Author
Source
Advances in Mathematical Physics
Issue
Vol. 2015, Issue 2015 (31 Dec. 2015), pp.1-19, 19 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2015-07-13
Country of Publication
Egypt
No. of Pages
19
Main Subjects
Abstract EN
The direct and inverse second Noether theorems are formulated in a general case of reducible degenerate Grassmann-graded Lagrangian theory of even and odd variables on graded bundles.
Such Lagrangian theory is characterized by a hierarchy of nontrivial higher-stage Noether identities which is described in the homology terms.
If a certain homology regularity condition holds, one can associate with a reducible degenerate Lagrangian the exact Koszul–Tate chain complex possessing the boundary operator whose nilpotentness is equivalent to all complete nontrivial Noether and higher-stage Noether identities.
The secondNoether theorems associate with the above-mentioned Koszul–Tate complex a certain cochain sequence whose ascent operator consists of the gauge and higher-order gauge symmetries of a Lagrangian system.
If gauge symmetries are algebraically closed, this operator is extended to the nilpotent BRST operator which brings the above-mentioned cochain sequence into the BRST complex and provides a BRST extension of an original Lagrangian.
American Psychological Association (APA)
Sardanashvily, G.. 2015. Higher-Stage Noether Identities and Second Noether Theorems. Advances in Mathematical Physics،Vol. 2015, no. 2015, pp.1-19.
https://search.emarefa.net/detail/BIM-1052878
Modern Language Association (MLA)
Sardanashvily, G.. Higher-Stage Noether Identities and Second Noether Theorems. Advances in Mathematical Physics No. 2015 (2015), pp.1-19.
https://search.emarefa.net/detail/BIM-1052878
American Medical Association (AMA)
Sardanashvily, G.. Higher-Stage Noether Identities and Second Noether Theorems. Advances in Mathematical Physics. 2015. Vol. 2015, no. 2015, pp.1-19.
https://search.emarefa.net/detail/BIM-1052878
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1052878