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Higher-stage Noether identities and second Noether theoremsстатья
Информация о цитировании статьи получена из
Web of Science,
Scopus
Статья опубликована в журнале из списка Web of Science и/или Scopus
Дата последнего поиска статьи во внешних источниках: 16 февраля 2016 г.
- Автор: Sardanashvily G.
- Журнал: Advances in Mathematical Physics
- Том: 2015
- Год издания: 2015
- Первая страница: 127481-1
- Последняя страница: 127481-19
- DOI: 10.1155/2015/127481
- Аннотация: 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 non-trivial higher-stage Noether identities which is described in the homology terms. If a certain homology regularity conditions holds, one can associate to a reducible degenerate Lagrangian the exact Koszul--Tate chain complex possessing the boundary operator whose nilpotentness is equivalent to all complete non-trivial Noether and higher-stage Noether identities. The second Noether theorems associate to 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.
- Добавил в систему: Сарданашвили Геннадий Александрович
Прикрепленные файлы
| № | Имя | Описание | Имя файла | Размер | Добавлен |
|---|---|---|---|---|---|
| 1. | Полный текст | a119.pdf | 2,1 МБ | 13 июля 2015 [sardanashvily] |