Delve into advanced concepts of supersymmetric theories in this comprehensive lecture, the second in a series. Explore exact methods and their applications in the field of supersymmetry over the course of 89 minutes. Gain insights from expert Giulio Bonelli as he builds upon the foundations laid in the previous lecture, offering a deeper understanding of the subject matter. Engage with complex mathematical and theoretical frameworks that underpin modern approaches to supersymmetric theories. Suitable for graduate students and researchers in theoretical physics, this lecture provides a rigorous exploration of cutting-edge techniques and their implications for our understanding of fundamental particle interactions and quantum field theory.