$W_{1+\infty }$ constraints for the hermitian one-matrix model

Abstract

We construct the multi-variable realizations of the $W_{1+\infty }$ algebra such that they lead to the $W_{1+\infty }$ $n$-algebra. Based on our realizations of the $W_{1+\infty }$ algebra, we derive the $W_{1+\infty }$ constraints for the hermitian one-matrix model. The constraint operators yield not only the $W_{1+\infty }$ algebra but also the closed $W_{1+\infty }$ $n$-algebra.

14 pages

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Cited by in corpus (1)

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