Higher spin constraints and the super $(W_{\frac{\infty }{2}}\oplus W_{\frac{1+\infty }{2}})$ algebra in the super eigenvalue model

Abstract

We show that the partition function of the super eigenvalue model satisfies an infinite set of constraints with even spins $s=4,6,\cdots ,\infty$. These constraints are associated with half of the bosonic generators of the super $\left(W_{\frac{\infty }{2}}\oplus W_{\frac{1+\infty }{2}}\right)$ algebra. The simplest constraint $(s=4)$ is shown to be reducible to the super Virasoro constraints, previously used to construct the model. All results hold for finite $N$.

14 pages, latex, no figures

References in corpus (2)

• Interaction of Discrete States in Two-Dimensional String Theory
• Superloop Equations and Two Dimensional Supergravity

Cited by in corpus (1)

• Higher order constraints for the ($\beta$-deformed) Hermitian matrix models