Exact correlators in the Gaussian Hermitian matrix model

Abstract

We present the $W_{1+\infty }$ constraints for the Gaussian Hermitian matrix model, where the constructed constraint operators yield the $W_{1+\infty }$ $n$-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.

arXiv comment13 pages, accepted for publication in Physics Letters B

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Cited by in corpus (3)

• CFT approach to constraint operators for ($\beta$-deformed) hermitian one-matrix models
• Correlators in the supereigenvalue model in the Ramond sector
• Correlators in the Gaussian and chiral supereigenvalue models in the Neveu-Schwarz sector