Theory of superdualities and the orthosymplectic supergroup Original Research Article

We study the dualities for sigma models with fermions and bosons. We found that the generalization of the image duality for image sigma models and the image duality for image sigma models is the orthosymplectic duality image. We study the implications of this and we derive the most general image sigma model, coupled to fermionic and bosonic one-forms, with such dualities. To achieve this we generalize Gaillard–Zumino analysis to orthosymplectic dualities, which requires to define embedding of the superisometry group of the target space into the duality group. We finally discuss the recently proposed fermionic dualities as a by-product of our construction.