Hints of multi-matrix eigenvalue dynamics

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dc.contributor.authorGossman, David Michael
dc.date.accessioned2018-01-04T06:15:09Z
dc.date.available2018-01-04T06:15:09Z
dc.date.issued2017
dc.descriptionA 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.
dc.description.abstractAfter 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.en_ZA
dc.description.librarianXL2018en_ZA
dc.format.extentOnline resource (85 pages)
dc.identifier.citationGossman, David Michael (2017) Hints of multi-matrix eigenvalue dynamics, University of the Witwatersrand, Johannesburg, <http://hdl.handle.net/10539/23601>
dc.identifier.urihttp://hdl.handle.net/10539/23601
dc.language.isoenen_ZA
dc.subject.lcshEigenvalues
dc.subject.lcshYang-Mills theory
dc.titleHints of multi-matrix eigenvalue dynamicsen_ZA
dc.typeThesisen_ZA
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