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arXiv · 0912.4724

Sigma models with off-shell N=(4,4) supersymmetry and noncommuting complex structures

M. Goteman·U. Lindstrom·M. Rocek·Itai Ryb
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Abstract

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.

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M. Goteman, U. Lindstrom, M. Rocek, Itai Ryb. 2009-12-23. Sigma models with off-shell N=(4,4) supersymmetry and noncommuting complex structures. https://doi.org/10.1007/jhep09(2010)055

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