Eigenvalue dynamics for multimatrix models
AbstractBy performing explicit computations of correlation functions, we find evidence that there is a sector of the two matrix model defined by the SU(2) sector of N=4 super Yang-Mills theory that can be reduced to eigenvalue dynamics. There is an interesting generalization of the usual Van der Monde determinant that plays a role. The observables we study are the Bogomol’nyi-Prasad-Sommerfield operators of the SU(2) sector and include traces of products of both matrices, which are genuine multimatrix observables. These operators are associated with supergravity solutions of string theory.