Higher spin constraints and the super (W∞2 ⊕ W1+∞2) algebra in the super eigenvalue model

We show that the partition function of the super eigenvalue model satisfies, for finite N (non-perturbatively), an infinite set of constraints with even spins s = 4,6,…,∞. These constraints are associated with half of the bosonic generators of the super (W∞2 ⊕ W1+∞2) algebra. The simplest constraint (s = 4) is shown to be reducible to the super Virasoro constraints, previously used to construct the model.