Vertex algebra theory

Vertex algebra theory is a branch of mathematics that studies algebraic structures encoding symmetries and operations arising in conformal field theory and string theory. It formalizes how fields (mathematical objects representing physical quantities) interact at points, capturing complex patterns of operator multiplication, singularities, and transformations. Think of it as a framework that captures the essence of symmetries in high-energy physics, while also providing rigorous tools to analyze infinite-dimensional structures and their relationships. Overall, it bridges quantum physics concepts with pure mathematics, revealing deep algebraic and geometric properties underlying fundamental theories.