Han, F.Mathai, V.2025-08-262025-08-262024Communications in Mathematical Physics, 2024; 405(12):294-1-294-230010-36161432-0916https://hdl.handle.net/2440/147067In this paper, we establish graded T-duality for 2d σ-modelswith H-flux after localization. This establishes the most general version of T-duality for Type II String Theory. The graded T-duality map, which we call graded Hori morphism, is compatible with the Jacobi property of the graded fields, that was earlier studied in (Adv Theor Math Phys 25: 1235–1266, 2021). Also included are some open problems/conjectures.en© The Author(s), under exclusive licence to Springer-Verlag GmbH Germany, part of Springer Nature 2024hep-th; math.DGJournal article10.1007/s00220-024-05168-3616724Mathai, V. [0000-0002-1100-3595]