A dissertation submitted to the University of the Witwatersrand in ful lment of the requirements for candidacy for the degree of Master of Science. Johannesburg, 2016 / Restricted Schur polynomials can be used to describe large N, non-planar limits of N = 4 super Yang-Mills
theory. The R-symmetry generators commute with the dilatation operator. For small deformations of 1
2-BPS
operators, the matrix elements of these generators have been computed and a set of recursion relations for the
matrix elements of the dilatation operator are obtained from this commutation relation. Together with the
knowledge that the smallest eigenvalues of the dilatation operator (corresponding to BPS operators) vanish, these
recursion relations can be used to determine the matrix elements of the dilatation operator. Studies up to now
have computed the matrix elements of the su(2) generators in the displaced corners approximation. Our first novel
result is the computation of the exact su(2) generators. We obtain the matrix elements for the su(3) generators
in the displaced corners approximation and exactly, for the first time. This is the first step to computing exact
matrix elements of the dilatation operator. / TG2016
| Identifer | oai:union.ndltd.org:netd.ac.za/oai:union.ndltd.org:wits/oai:wiredspace.wits.ac.za:10539/21667 |
| Date | January 2016 |
| Creators | Tribelhorn, Laila |
| Source Sets | South African National ETD Portal |
| Language | English |
| Detected Language | English |
| Type | Thesis |
| Format | Online resource (70 pages), application/pdf |
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