Hints of multi-matrix eigenvalue dynamics
Date
2017
Authors
Gossman, David Michael
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Abstract
After studying matrix model quantum mechanics for one and two matrices and the eigenvalue dynamics of the one matrix model, evidence is found that there is a sector of the two matrix model that can be reduced to eigenvalue dynamics. This sector is defined by the SU(2) sector of N = 4 super Yang-Mills theory. Evidence is found by doing explicit computations of correlation functions using an interesting generalization of the usual Van der Monde determinant. 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.
Description
A dissertation submitted to the Faculty of Science, University of the Witwatersrand, Johannesburg, in fulfilment of requirements for the degree of Master of Science. May 23, 2017.
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Citation
Gossman, David Michael (2017) Hints of multi-matrix eigenvalue dynamics, University of the Witwatersrand, Johannesburg, <http://hdl.handle.net/10539/23601>