Local currents for the GL(N,\({\mathbb{C}})\) self-dual Yang-Mills equation (Q909274)
From MaRDI portal
 | This is the item page for this Wikibase entity, intended for internal use and editing purposes. Please use this page instead for the normal view: Local currents for the GL(N,\({\mathbb{C}})\) self-dual Yang-Mills equation |
scientific article; zbMATH DE number 4136948
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Local currents for the GL(N,\({\mathbb{C}})\) self-dual Yang-Mills equation |
scientific article; zbMATH DE number 4136948 |
Statements
Local currents for the GL(N,\({\mathbb{C}})\) self-dual Yang-Mills equation (English)
0 references
1989
0 references
By using a simple Bäcklund-like transformation which linearizes the \(GL(N,{\mathbb{C}})\) self-dual Yang-Mills equation, an infinite number of local conservation laws for this equation are constructed. In the \(SL(N,{\mathbb{C}})\) case, the currents become trivial, which explains why these currents are not found in \(SU(N)\) gauge theory.
0 references
Yang-Mills equation
0 references
self-dual Yang-Mills equation
0 references
conservation laws
0 references
