A dissertation submitted to the faculty of science, University of the Witwatersrand, Johannesburg, in fulfillment of the requirements for the degree of Master of Science. July 6, 2017. / We study the collective field theory of a free multi-matrix model in the radial sector, which has an
emergent 1/r2 term, and take the large N limit. We show that it is possible to generate 2−d metrics with
generic dependence on the collective field Lagrange multiplier (μ) and potential and which are distinguished
by the choice of the potential. The Lagrange multiplier is shown to depend on an induced scale parameter
after an I.R. regularization and breaks scale invariance. The collective field sl(2, R) algebras of the free
Hamiltonian and a related alternative compact operator only close in the absence of μ. We point out that
the broken conformal symmetry is contained in the associated metrics which suggests that they are related
to a Near-AdS2 geometry. We also comment on the resemblance of these metrics to black hole solutions. / MT2018
| Identifer | oai:union.ndltd.org:netd.ac.za/oai:union.ndltd.org:wits/oai:wiredspace.wits.ac.za:10539/24176 |
| Date | January 2017 |
| Creators | Hanmer, Jeffrey Thomas |
| Source Sets | South African National ETD Portal |
| Language | English |
| Detected Language | English |
| Type | Thesis |
| Format | Online resource (131 leaves), application/pdf, application/pdf, application/pdf |
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