T-duality and Generalized Kähler Geometry in Superspace

This paper explores T-duality, a concept in string theory, within the framework of toric Kähler manifolds and their relation to generalized Kähler geometries. It focuses on the specific case where the T-dual involves semi-chiral fields, a situation common in polycylinders, tori, and related geometries. The paper's significance lies in its investigation of how gauging multiple isometries in this context necessitates the introduction of semi-chiral gauge fields. Furthermore, it applies this to the η-deformed CP^(n-1) model, connecting its generalized Kähler geometry to the Kähler geometry of its T-dual, providing a concrete example and potentially advancing our understanding of these geometric structures.