2009/12/31 by M. Goteman, U. Lindstrom, M. Rocek +1 · 1 citation
Physics and Astronomy · #hep-th
paper · pdf · doi:10.1007/jhep09(2010)055
published as JHEP 1009:055,2010 · 20 pages; v2: significant corrections, clarifications, and reorganization; v3: discussion of supersymmetry vs twisted supersymmetry added, relevant signs corrected.
arxiv created 2010/05/02 · arxiv updated 2014/11/20
We describe the conditions for extra supersymmetry in N=(2,2) supersymmetric nonlinear sigma models written in terms of semichiral superfields. We find that some of these models have additional off-shell supersymmetry. The (4,4) supersymmetry introduces geometrical structures on the target-space which are conveniently described in terms of Yano f-structures and Magri-Morosi concomitants. On-shell, we relate the new structures to the known bi-hypercomplex structures.