Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2006-04-11
Nucl.Phys.B756:171-206,2006
Physics
High Energy Physics
High Energy Physics - Theory
44 pages, 6 figures
Scientific paper
10.1016/j.nuclphysb.2006.08.004
The holographic principle in the pp-wave limit proposed in our previous works is further confirmed by studying impurity non-preserving processes which contain a fermionic BMN operator with one scalar and one fermion impurities. We show that the previously proposed duality relation between the matrix elements of the three point interaction Hamiltonian in the holographic string field theory and the OPE coefficients in super Yang-Mills theory holds to the leading order in the large $\mu$ limit. Operator mixing is required to obtain the BMN operator of definite conformal dimension which corresponds to the string state with one scalar and one fermion excitations. The mixing term plays a crucial role for our duality relation to be valid. Our results, combined with those in the previous papers, provide a positive support that our duality relation holds for the general process regardless of the kind of impurities and of whether impurities conserve or not.
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