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Explore the mathematical foundations of the Wess-Zumino-Witten model through the lens of path integral formulations in this conference lecture delivered by A. Kupiainen from the University of Helsinki. Delve into the intricate connections between topological recursion, conformal field theory, and random geometry as part of a comprehensive mathematical physics symposium. Examine the rigorous mathematical treatment of this fundamental model in two-dimensional conformal field theory, focusing on how path integral methods provide insights into its structure and applications. Gain understanding of the model's role in bridging different areas of mathematical physics, including its connections to string theory, statistical mechanics, and algebraic topology. Learn about the technical aspects of path integral quantization in the context of this non-Abelian gauge theory and discover how these methods illuminate the geometric and topological properties of the model.
