On-shell Functions on the Coulomb Branch of N = 4 SYM

This 15-minute conference talk explores on-shell functions on the Coulomb branch of N = 4 Super Yang-Mills theory, presented by Subramanya Hegde at the International Centre for Theoretical Sciences. Participate in the "Positive Geometry in Scattering Amplitudes and Cosmological Correlators" program, which brings together experts from mathematical aspects of scattering amplitudes and cosmology. Discover how recent decades have yielded tremendous insights into perturbative on-shell scattering amplitudes, including unitarity methods, recursion relations, worldsheet models, bootstrap methods, and connections to positive geometry. Learn about the emerging reformulation of perturbative S-matrix using new principles and explore the remarkable parallel structures observed in cosmological correlators that capture the physics of our Universe. The program runs from February 10-21, 2025, at the Ramanujan Lecture Hall, ICTS, organized by Nima Arkani-Hamed, Johannes Henn, Suvrat Raju, and Jaroslav Trnka.