Local currents for the GL(N,\({\mathbb{C}})\) self-dual Yang-Mills equation
type: Item
instance of: scholarly article
title: Local currents for the GL(N,\({\mathbb{C}})\) self-dual Yang-Mills equation
zbMATH Open document ID: 0694.53067
DOI: 10.1007/BF00399751
author: C. J. Papachristou
author: B. Kent Harrison
published in: Letters in Mathematical Physics
publication date: 1989-01-01T00:00:00Z
review text: 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.
Mathematics Subject Classification ID: 53B50
Mathematics Subject Classification ID: 81T08
zbMATH DE Number: 4136948
zbMATH Keywords: Yang-Mills equation
zbMATH Keywords: self-dual Yang-Mills equation
zbMATH Keywords: conservation laws
MaRDI profile type: Publication
cites work: Permutability property for self-dual Yang-Mills fields
cites work: Nonlocal symmetries and Bäcklund transformations for the self-dual Yang–Mills system
cites work: Q3715336
cites work: Q3223508
description: scientific article; zbMATH DE number 4136948