TL;DR
This paper reviews the significance of knots, a complex topological object, across various physics fields including electromagnetism, particle physics, and condensed matter, highlighting their theoretical and practical importance.
Contribution
It provides a comprehensive overview of how knots and related topological objects are integrated into different areas of physics, emphasizing their roles and implications.
Findings
Knots appear naturally in Maxwell's theory.
Knots are relevant in Skyrme theory.
Knots are significant in multi-component condensed matter physics.
Abstract
After Dirac introduced the monopole, topological objects have played increasingly important roles in physics. In this review we discuss the role of the knot, the most sophisticated topological object in physics, and related topological objects in various areas in physics. In particular, we discuss how the knots appear in Maxwell's theory, Skyrme theory, and multi-component condensed matter physics.
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