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arXiv · hep-th/9604184

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

L. O. Buffon·D. Dalmazi·A. Zadra
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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 $\left( W_{\infty \over 2}\oplus W_{{1+\infty}\over 2}\right)$ 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 $N$.

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L. O. Buffon, D. Dalmazi, A. Zadra. 1996-04-29. Higher spin constraints and the super $( W_{\infty\over 2}\oplus W_{{1+\infty}\over 2})$ algebra in the super eigenvalue model. https://doi.org/10.1016/s0370-2693(96)01640-1

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