Global Seiberg-Witten maps for U(N)-bundles on tori and T-duality

18.10.2019, 11:15  –  Haus 9, Raum 2.22
Arbeitsgruppenseminar Analysis

Paolo Aschieri (Alessandria and Torino)

Seiberg-Witten maps are a method to locally construct noncommutative gauge theories starting from commutative gauge theories. It originated in the context of gauge theories describing low energy effective actions in string theory. Geometrically, Seiberg-Witten maps provide a quantization of bundles with connections. We review their construction and apply it in the study of U(n)-vector bundles on two-dimensional tori, thus proving the existence of globally defined Seiberg-Witten maps. Time permitting we further show their compatibility with Morita equivalence (T-duality).