Quantum Symmetries in 2D Massive Field Theories
Denis Bernard

TL;DR
This paper reviews the role of quantum group symmetries in two-dimensional massive quantum field theories and their application to solving integrable models, with a brief discussion on potential generalizations to three dimensions.
Contribution
It provides a comprehensive review of quantum symmetries in 2D massive QFTs and explores their use in exactly solving integrable models, including a discussion on extending to 3D.
Findings
Quantum group symmetries underpin integrability in 2D massive QFTs.
Exact solutions for models can be derived using these symmetries.
Potential generalization methods to three-dimensional theories are proposed.
Abstract
We review various aspects of (infinite) quantum group symmetries in 2D massive quantum field theories. We discuss how these symmetries can be used to exactly solve the integrable models. A possible way for generalizing to three dimensions is shortly described.
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