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arXiv · 1608.00399

Eigenvalue Dynamics for Multimatrix Models

Robert de Mello Koch·David Gossman·Lwazi Nkumane·Laila Tribelhorn
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Abstract

By 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 ${\cal N}=4$ 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 BPS operators of the $SU(2)$ sector and include traces of products of both matrices, which are genuine multi matrix observables. These operators are associated to supergravity solutions of string theory.

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Robert de Mello Koch, David Gossman, Lwazi Nkumane, Laila Tribelhorn. 2016-08-01. Eigenvalue Dynamics for Multimatrix Models. https://doi.org/10.1103/physrevd.96.026011

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