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Keywords = semichiral superfields

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23 pages, 321 KiB  
Article
N = (4,4) Supersymmetry and T-Duality
by Malin Göteman
Symmetry 2012, 4(4), 603-625; https://doi.org/10.3390/sym4040603 - 24 Oct 2012
Cited by 2 | Viewed by 5236
Abstract
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 [...] Read more.
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. Full article
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