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Finiteness and anomalies in (4,0) supersymmetric sigma models
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Power-counting arguments based on extended superfields have been used to argue that two-dimensional supersymmetric sigma models with (4,0) supersymmetry are finite. This result is confirmed up to three loop order in pertubation theory by an explicit calculation using (1,0) superfields. In particular, it is shown that the finite counterterms which must be introduced into the theory in order to maintain (4,0) supersymmetry are precisely the terms that are required to establish ultra-violet finiteness.
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Harmonic Superspace for Ali-Ilahi's ADHM Instanton Sigma Model
The authors build a dual harmonic superspace and write the off-shell (0,4) superspace actions, interactions, and ADHM instanton gauge field for the complementary ADHM instanton sigma model.
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