Identification of the modified orthogonal Grassmannian equations with open-chain Bethe Ansatz equations

Establish whether the modified twisted F-term equations obtained from the orthogonal Grassmannian GLSM with an additional hypermultiplet can be identified with the Bethe Ansatz equations of the open spin chain, including the remaining first-term discrepancy.

Background

For the odd tangent bundle of the orthogonal Grassmannian, the paper derives semiclassical twisted F-term equations and compares them with the Bethe Ansatz equations for an open spin chain. The original equations have mismatches in the symmetric-tensor and boundary contributions.

The authors then modify the theory by adding another hypermultiplet. This corrects the pairwise interaction factor, but the resulting equations still contain a first-term discrepancy, so the identification with the open-chain Bethe Ansatz equations remains unresolved.