Gauge theory provides a rigorous mathematical formulation for understanding the interactions of fundamental forces through connections on fibre bundles and symmetry groups. In this framework, ...

Homotopy theory provides a framework for classifying spaces up to continuous deformations, and its application to gauge groups has been instrumental in advancing our understanding of the topological ...

String theory, simultaneously one of the most promising and controversial ideas in modern physics, may be more capable of helping probe the inner workings of subatomic particles than was previously ...

This project explores a powerful connection between gauge theory and gravity, two fundamental ingredients in our understanding of Nature. It is clear that there is a close mathematical analogy between ...

We also prove that the two sets of Maxwell equations only depend on the non-linear elations of the conformal group of ...