Graded T-duality with H-flux for 2D Sigma Models

Watch a 43-minute lecture from the Workshop on Representation Theory, Calabi-Yau Manifolds, and Mirror Symmetry where Fei Han from the National University of Singapore explores the advancement of T-duality maps in string theory. Delve into how T-duality manifests as a transformation acting on worldsheet fields in two-dimensional nonlinear sigma models, building upon Bouwknegt-Evslin-Mathai's groundbreaking work on T-duality in background flux. Learn about two key developments: the concept of graded T-duality with its maps across various twisting levels, and the implementation of a 2-dimensional sigma model perspective incorporating double loop space of spacetimes. Understand these theoretical physics concepts through detailed mathematical explanations and their implications for string theory research.