A dissertation submitted to the Faculty of Science, University of the Witwatersrand, Johannesburg, in fulfilment of requirements for the degree of Master of Science. Johannesburg, 09 February 2016. / The main goal of this dissertation is to construct a better understanding of the subtleties that arise in
the holographic computation of extremal correlators. It is well known that these computations, in the
gravitational description, su er from divergences, but the interpretation and origin of these divergences
is unclear. The study starts with detailed computations of two- and three-point functions of a scalar eld
minimally coupled to gravity on Euclidean AdSd space, three-point functions of two giant gravitons and
one light graviton, and three-point functions of the Kaluza-Klein gravitons, using supergravity theory.
Further, we also give the computation of these same correlators in the dual CFT. These involve novel
techniques in the matrix model, including methods that employ Schur polynomials in the dual gauge
theory analysis. By employing the usual AdS=CFT dictionary, we argue that extremal correlators are
naturally related to collinear particles. There are divergences that arise in collinear amplitudes as a
consequence of the fact that the particles momenta are parallel. We therefore reach the suggestive
idea that the divergences in extremal correlator computations are linked to collinear divergences. Much
remains to be done to really establish this connection. / LG2018
| Identifer | oai:union.ndltd.org:netd.ac.za/oai:union.ndltd.org:wits/oai:wiredspace.wits.ac.za:10539/24991 |
| Date | January 2017 |
| Creators | Rajaobelina Iarilala, Elie Danien |
| Source Sets | South African National ETD Portal |
| Language | English |
| Detected Language | English |
| Type | Thesis |
| Format | Online resource (viii, 109 leaves), application/pdf |
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