Cubic interactions in the BMN limit of AdS(3) x S(3)

TL;DR

This paper investigates the interaction structure of string theory in the pp-wave limit of AdS(3) x S(3), deriving the Hamiltonian and cubic couplings, and connecting them to the full AdS background.

Contribution

It derives the interacting Hamiltonian for bosonic fields in the pp-wave limit of AdS(3) x S(3) and relates it to the cubic couplings of the full AdS background, providing new insights into the interaction vertices.

Findings

Derived the bosonic interacting Hamiltonian in the pp-wave background.

Connected the pp-wave vertex to the large J limit of AdS(3) x S(3).

Clarified the origin of specific interaction prefactors.

Abstract

We study the pp limit of AdS(3) x S(3) at the interaction level. We find the interacting Hamiltonian for the bosonic fields of D=6 SUGRA in the pp-wave background, and compare it to the cubic couplings of the full AdS(3) x S(3). We show how the pp-wave theory vertex arises in the large J limit. Our analysis also provides some insight into the origin of specific prefactors which appear in the pp-wave interaction.