Impurity Non-Preserving 3-Point Correlators of BMN Operators from PP-Wave Holography I : Bosonic Excitations

TL;DR

This paper establishes a holographic correspondence for 3-point correlators of BMN operators with bosonic excitations, including impurity non-preserving processes, validating the mapping between super Yang-Mills theory and string field theory.

Contribution

It introduces the first direct holographic relation for impurity non-preserving 3-point correlators of BMN operators, extending previous holographic studies.

Findings

Validates the holographic mapping at leading order in large μ limit.

Provides the first holographic relation for impurity non-preserving 3-point correlators.

Confirms the correspondence between conformal OPE coefficients and string field theory vertices.

Abstract

As a continuation of our previous works studying the holographic principle in the plane-wave limit, we discuss the 3-point correlation functions of BMN operators with bosonic excitations when impurities are not conserved. We show that our proposal for a holographic mapping between the conformal OPE coefficients of super Yang-Mills theory and the 3-point vertex of the holographic string field theory is valid to the leading order in the large $\mu$ limit. Our results provide for the first time a direct holographic relation for the 3-point correlators of BMN operators including impurity non-preserving processes.