The dialtion operator of conformal N=4 super Yang-Mills theory using Schur polynomials
Date
2011-05-25
Authors
Mashile, Grant
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Abstract
In this dissertation we study the anomalous dimension of operators with Rcharge
of order N in the ’t Hooft limit. This is a highly non-trivial task as
the planar approximation, which is usually used to simplify the problem, is
not accurate. One is forced to sum all Feynman diagrams. The operators of
interest are dual to a system of two excited giant gravitons. We build the Yang
Mills operators using restricted Schur polynomials that are labeled by Young
diagrams that have at most two columns. We learn from our analysis that the
giant gravitons behave as a two coupled harmonic oscillators.