T-duality and Generalized Kähler Geometry in Superspace
Published:Dec 31, 2025 08:41
•1 min read
•ArXiv
Analysis
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.
Key Takeaways
- •Investigates T-duality in the context of toric Kähler and generalized Kähler geometries.
- •Highlights the role of semi-chiral fields in T-duals of specific geometries.
- •Explores the need for semi-chiral gauge fields when gauging multiple isometries.
- •Applies the developed technology to the η-deformed CP^(n-1) model.
Reference
“The paper explains that the situation where the T-dual of a toric Kähler geometry is a generalized Kähler geometry involving semi-chiral fields is generic for polycylinders, tori and related geometries.”