Semichiral fields on S 2 and generalized Kähler geometry

摘要: We study a class of two-dimensional $$ \mathcal{N}=\left(2,2\right) $$ supersymmetric gauge theories, given by semichiral multiplets coupled to the usual vector multiplet. In UV, these theories are traditional deformed gauged Wess-Zumino term. IR, they give rise nonlinear sigma models on noncompact generalized Kahler manifolds, which contain three-form field H and whose metric is not Kahler. place S 2 compute their partition function exactly with localization techniques. find that contribution instantons we define insensitive deformation, discuss our results from point view target space.