TL;DR
This paper reviews progress in understanding local conserved charges in non-linear sigma-models, focusing on principal chiral models and WZW models, highlighting their integrable structures and properties.
Contribution
It provides a comprehensive overview of the development of knowledge on conserved charges in integrable non-linear sigma-models, connecting PCM and WZW models.
Findings
Identification of local conserved charges in PCMs and WZW models
Insights into the properties and roles of these charges in integrability
Connections established between different models and their conserved quantities
Abstract
This is a summary of progress made in understanding the occurrence and properties of local, conserved, commuting charges in non-linear sigma-models, including principal chiral models (PCMs) and WZW models. (Contribution to the NATO-ASI meeting: Integrable Hierarchies and Modern Physical Theories, University of Illinois at Chicago, July 2000.)
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Taxonomy
TopicsQuantum and Classical Electrodynamics · Scientific Research and Discoveries · Matrix Theory and Algorithms