Perturbative study of concentric 5-branes in plane-wave matrix model and development of mathematical formalism for wigner j-symbols
Ali Reza Mohazab · cIRcle (University of British Columbia) · 2011
Expansion and computation of quantities around various (k x N) x (k x N) vacuua in BMN theory results in introduction of Matrix spherical harmonics and various traces of their products. In this thesis the formalism to deal with these harmonics is developed and a few bosonic diagrams that arise in computation of Tr(XªXª) are computed as an example. It is then seen that the large N limit is dominated by a planar subclass of these diagrams with a particular topology. This suggests a stronger constraint than that of 't Hooft.