 Gauge symmetry (mathematics)

Gauge symmetry is a crucial concept in both mathematics and physics, particularly in the context of gauge theories in physics such as electromagnetism and the Standard Model of particle physics. In mathematics, gauge symmetry refers to certain types of symmetries of fields and the associated mathematical structures. ### Key Components of Gauge Symmetry: 1. **Fields and Potentials**: In gauge theories, physical quantities like electromagnetic or gravitational fields can be represented by fields (functions over space and time).