Algebraic Integration of Sigma-Model Field Equations
Loading...
Date
2009
Authors
Journal Title
Journal ISSN
Volume Title
Publisher
Springer
Open Access Color
BRONZE
Green Open Access
Yes
OpenAIRE Downloads
OpenAIRE Views
Publicly Funded
No
BIP! Indicators
Impulse
Average
Influence
Average
Popularity
Average
Abstract
We prove that the dualization algebra of the sigma model with a symmetric coset space is a Lie algebra and show that it generates an appropriate adjoint representation that allows integrating the field equations locally, which yields first-order equations.
Description
Keywords
Sigma Model, First-Order Formulation, Dualization Algebra, FOS: Physical sciences, Mathematical Physics (math-ph), Mathematical Physics, sigma model, Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, \(W\)-algebras and other current algebras and their representations, Model quantum field theories, Groups and algebras in quantum theory and relations with integrable systems, dualization algebra, first-order formulation
Fields of Science
0103 physical sciences, 0101 mathematics, 01 natural sciences
Citation
Yılmaz, N.T. (2009). Algebraic integration of sigma-model field equations. Theoretical And Mathematical Physics, 159(2), 640-653. http://dx.doi.org/10.1007/s11232-009-0052-0
WoS Q
Q3
Scopus Q
Q4
OpenCitations Citation Count
N/A
Source
Theoretical and Mathematical Physics
Volume
159
Issue
2
Start Page
640
End Page
653
PlumX Metrics
Citations
Scopus : 0
Page Views
5
checked on Feb 23, 2026
Google Scholar™
