Superconformal selfdual σ-models -: art. no. 071

A range of bosonic models can be expressed as (sometimes generalized) sigma-models, with equations of motion coming from a selfduality constraint. We show that in D = 2, this is easily extended to supersymmetric cases, in a superspace approach. In particular, we find that the configurations of fields of a superconformal / coset models which satisfy some selfduality constraint are automatically solutions to the equations of motion of the model. Finally, we show that symmetric space a-models can be seen as infinite-dimensional ($) over tilde/($) over tilde models constrained by a selfduality equation, with ($) over tilde the loop extension of G and ($) over tilde a maximal subgroup. It ensures that these models have a hidden global ($) over tilde symmetry together with a local ($) over tilde gauge symmetry.