Superopers on Supercurves

Abstract

In this note, we introduce the generalization of opers (superopers) for a certain class of superalgebras with a root system, which admits a basis of odd roots. We study in detail SPL 2-superopers and in particular derive the corresponding Bethe ansatz equations, which describe the spectrum of the $${\mathfrak{osp}(1|2)}$$ Gaudin model.