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Symmetry 2012, 4(4), 603-625; doi:10.3390/sym4040603

N = (4,4) Supersymmetry and T-Duality

Theoretical Physics, Department of Physics and Astronomy, Uppsala University, P.O. Box 516, Uppsala 75120, Sweden
Received: 3 September 2012 / Revised: 12 October 2012 / Accepted: 15 October 2012 / Published: 24 October 2012
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A sigma model with four-dimensional target space parametrized by chiral and twisted chiral N =(2,2) superfields can be extended to N =(4,4) supersymmetry off-shell, but this is not true for a model of semichiral fields, where the N = (4,4) supersymmetry can only be realized on-shell. The two models can be related to each other by T-duality. In this paper we perform a duality transformation from a chiral and twisted chiral model with off-shell N = (4,4) supersymmetry to a semichiral model. We find that additional non-linear terms must be added to the original transformations to obtain a semichiral model with N =(4,4) supersymmetry, and that the algebra closes on-shell as a direct consequence of the T-duality.
Keywords: supersymmetry; sigma models; semichiral superfields supersymmetry; sigma models; semichiral superfields
This is an open access article distributed under the Creative Commons Attribution License (CC BY 3.0).

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Göteman, M. N = (4,4) Supersymmetry and T-Duality. Symmetry 2012, 4, 603-625.

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