Generalized Kähler geometry in (2, 1) superspace

Two-dimensional (2, 2) supersymmetric nonlinear sigma models can be described in (2, 2), (2, 1) or (1, 1) superspaces. Each description emphasizes different aspects of generalized Kähler geometry. We investigate the reduction from (2, 2) to (2, 1) superspace. This has some interesting nontrivial features arising from the elimination of nondynamical fields. We compare quantization in the different superspace formulations.