Holomorphic-Topological Twists and Their Applications

Explore the intricacies of holomorphic-topological twists in supersymmetric quantum field theories through this comprehensive lecture by Davide Gaiotto from the Perimeter Institute. Delve into the mathematical properties and applications of these twists, examining general formality-like results and their limitations. Gain insights into categorical wall-crossing in four-dimensional gauge theories and discover a categorical approach to the 't Hooft expansion. This 71-minute talk, presented at the Institut des Hautes Etudes Scientifiques (IHES), offers a deep dive into advanced concepts in theoretical physics and mathematics, providing valuable knowledge for researchers and advanced students in the field.