Aspects of the AdS/CFT correspondence are studied in the pp.-wave/BMN limit. We use
the light cone string field theory to investigate energy shifts of the one and two impurity
states. In the case of two impurity states we find that logarithmic divergences, in the sums
of intermediate states, actually cancel out between the Hamiltonian and a Q-dependent
contact term”. We show how non-perturbative terms, that have previously plagued this
theory, vanish as a consequence of this cancelation. We argue from this that every order of
internal impurities contributes to the overall energy shift and attempt to give a systematic
way of calculating such sums for the case of the simplest 3-string vertex (one proposed by
diVecchia).
We extend our analysis of the mass shift to the case of the most advanced 3-string
vertex (proposed by Dobashi and Yoneya). We find agreement between our string field
theory calculations and the leading order CFT result in the BMN limit. We also find strong
similarities between our result and higher orders in the field theory, including, on the string
side, the disappearance of the half-integer powers which generically do not exist in the field
theory calculations.
We also study the orbifolding of the pp-wave background which results in the discrete
quantization of the light-cone momentum. We present the string field theory calculation for
such a discreet momentum case. We also observe how a particular choice of the orbifold,
results in the string theory corresponding to the quantization of the finite size giant magnon
on the CFT side. We study this theory in detail with particular emphasis on its super
algebra.Science, Faculty ofPhysics and Astronomy, Department ofGraduat
Is data on this page outdated, violates copyrights or anything else? Report the problem now and we will take corresponding actions after reviewing your request.