Variational Tricomplex, Global Symmetries and Conservation Laws of Gauge Systems
Vernadsky National Library of Ukraine
Переглянути архів Інформація| Поле | Співвідношення | |
| Title |
Variational Tricomplex, Global Symmetries and Conservation Laws of Gauge Systems
|
|
| Creator |
Sharapov, A.A.
|
|
| Description |
Using the concept of variational tricomplex endowed with a presymplectic structure, we formulate the general notion of symmetry. We show that each generalized symmetry of a gauge system gives rise to a sequence of conservation laws that are represented by on-shell closed forms of various degrees. This extends the usual Noether's correspondence between global symmetries and conservation laws to the case of lower-degree conservation laws and not necessarily variational equations of motion. Finally, we equip the space of conservation laws of a given degree with a Lie bracket and establish a homomorphism of the resulting Lie algebra to the Lie algebra of global symmetries.
|
|
| Date |
2019-02-16T09:32:31Z
2019-02-16T09:32:31Z 2016 |
|
| Type |
Article
|
|
| Identifier |
Variational Tricomplex, Global Symmetries and Conservation Laws of Gauge Systems / A.A. Sharapov // Symmetry, Integrability and Geometry: Methods and Applications. — 2016. — Т. 12. — Бібліогр.: 35 назв. — англ.
1815-0659 2010 Mathematics Subject Classification: 70S10; 81T70; 83C40 DOI:10.3842/SIGMA.2016.098 http://dspace.nbuv.gov.ua/handle/123456789/147863 |
|
| Language |
en
|
|
| Relation |
Symmetry, Integrability and Geometry: Methods and Applications
|
|
| Publisher |
Інститут математики НАН України
|
|