2012/08/10 by Malin Goteman, Goteman, Malin
Physics and Astronomy · #51P05 #81T60 #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #hep-th #msc:51P05 #msc:81T60
paper · pdf · doi:10.48550/arxiv.1208.2166
26 pages
arxiv created 2012/08/10 · arxiv updated 2012/08/13
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.