A matrix integral solution to two-dimensional \(W_ p\)-gravity
type: Item
instance of: scholarly article
title: A matrix integral solution to two-dimensional \(W_ p\)-gravity
zbMATH Open document ID: 0756.35074
DOI: 10.1007/BF02099527
author: Mark Adler
author: Pierre van Moerbeke
published in: Communications in Mathematical Physics
publication date: 1993-01-16T00:00:00Z
review text: 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.
Mathematics Subject Classification ID: 35Q53
Mathematics Subject Classification ID: 81T40
Mathematics Subject Classification ID: 81T30
Mathematics Subject Classification ID: 53D50
zbMATH DE Number: 95398
zbMATH Keywords: stress-energy tensor for \(W_ p\)-gravity
zbMATH Keywords: matrix model
reviewed by: Ciprian Dariescu
MaRDI profile type: Publication
cites work: Quantum field theory techniques in graphical enumeration
cites work: Operator Approach to the Kadomtsev-Petviashvili Equation–Transformation Groups for Soliton Equations III–
cites work: Q4015714
cites work: Differential equations in the spectral parameter
cites work: Q3820760
cites work: Tata lectures on theta. II: Jacobian theta functions and differential equations. With the collaboration of C. Musili, M. Nori, E. Previato, M. Stillman, and H. Umemura
cites work: POISSON-NIJENHUIS STRUCTURES AND SATO HIERARCHY
cites work: Quantum field theories in one and two dimensions
cites work: Lie algebras of differential operators, their central extensions, and W- algebras
cites work: Fay's trisecant identity and Wick's theorem: An algebraic geometry viewpoint
cites work: Q3327361
cites work: Loop groups and equations of KdV type
cites work: On solutions to the string equation
cites work: A quantum group structure in integrable conformal field theories
full work available at URL: https://doi.org/10.1007/bf02099527
OpenAlex ID: W2068917264
description: scientific article; zbMATH DE number 95398