Variational Tricomplex, Global Symmetries and Conservation Laws of Gauge Systems

• Published in: Symmetry, Integrability and Geometry: Methods and Applications
• Date: 2016
• Main Author: Sharapov, A.A.
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2016
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/147863
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: 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.

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. Th...