Exact correlators in the Gaussian Hermitian matrix model

Abstract

We present the W1+∞ constraints for the Gaussian Hermitian matrix model, where the constructed constraint operators yield the W1+∞ n-algebra. For the Virasoro constraints, we note that the constraint operators give the null 3-algebra. With the help of our Virasoro constraints, we derive a new effective formula for correlators in the Gaussian Hermitian matrix model. Keywords: Conformal and W symmetry, Matrix models, n-algebra