Superopers on Supercurves

Abstract

In this note, we introduce the generalization of opers (superopers) for a certain class of superalgebras, which have pure odd simple root system. We study in detail $SP{L}_2$-superopers and in particular derive the corresponding Bethe ansatz equations, which describe the spectrum of $osp(2|1)$ Gaudin model.

21 pages, v2: minor corrections

References in corpus (4)

• Khovanov Homology And Gauge Theory
• SUSY vertex algebras and supercurves
• Opers on the projective line, flag manifolds and Bethe Ansatz
• Supersymmetry and the formal loop space

Cited by in corpus (3)

• ODE/IM correspondence and Bethe ansatz for affine Toda field equations
• Bethe ansatz equations for orthosymplectic Lie superalgebras and self-dual superspaces
• Superopers revisited