Topological Field Theory

Topological Field Theory (TFT) is a branch of theoretical physics that studies how physical theories behave under continuous transformations like stretching or bending, without tearing or gluing. It focuses on properties that remain unchanged regardless of those transformations, akin to how the shape of a doughnut doesn't change whether you twist or stretch it. TFT connects concepts from topology (the study of shapes and spaces) with quantum field theory, providing insights into fundamental aspects of both mathematics and physics, and it has applications in areas like string theory and condensed matter physics.