Eigenvalue dynamics for multimatrix models

Eigenvalue dynamics for multimatrix models 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 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. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Physical Review D American Physical Society (APS)

Eigenvalue dynamics for multimatrix models

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Eigenvalue dynamics for multimatrix models

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 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.
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Publisher
American Physical Society (APS)
Copyright
Copyright © © 2017 American Physical Society
ISSN
1550-7998
eISSN
1550-2368
D.O.I.
10.1103/PhysRevD.96.026011
Publisher site
See Article on Publisher Site

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 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.

Journal

Physical Review DAmerican Physical Society (APS)

Published: Jul 15, 2017

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