Characterization of the W_{1+∞}-n-algebra and applications

Melong, Fridolin; Wulkenhaar, Raimar

Abstract

In this paper, we construct the W1+∞-n-algebras in the framework of the generalized quantum algebra. We characterize the R(p,q)-multi-variable W1+∞-algebra and derive its n-algebra which is the generalized Lie algebra for n even. Furthermore, we investigate the R(p,q)-elliptic hermitian matrix model and determine a toy model for the generalized quantum W∞ constraints. Also, we deduce particular cases of our results.