A matrix integral solution to two-dimensional \(W_ p\)-gravity
Based on \textit{E. Witten}'s computations [IASSNS-HEP-91/24 (1991), preprint] and on \textit{V. Kac} and \textit{A. Schwarz}'s observation [Phys. Lett. B. 257, 329-334 (1991)] the authors of this article explicitly develop a matrix model for arbitrary ``\(p\)'' and present a complete proof for \(p\leq 3\). It is also pointed out that the general proof hinges on the observation that a certain partial differential equation applied to the ratio \(\tau_ p^{(N)}(t)=\tilde A_ p^{(N)}(\Theta)/\tilde B_ p^{(N)}(\Theta)\) produces at once the stress-energy tensor for \(W_ p\)-gravity and this should have an interesting physical interpretation.
stress-energy tensor for \(W_ p\)-gravity
scientific article; zbMATH DE number 95398
scientific article