A note on string interaction on the pp-wave background

TL;DR

This paper examines type IIB string interactions on a pp-wave background, highlighting differences from flat space and proposing modifications to the string vertex to resolve puzzles related to N=4 SYM correspondence.

Contribution

It introduces a symmetry-preserving string interaction framework on the pp-wave background, addressing discrepancies in previous models and clarifying the zero-mode contributions.

Findings

Symmetries are realized differently than in flat space.

Modified string vertex resolves puzzles in N=4 SYM predictions.

Zero-mode analysis is crucial for understanding string interactions.

Abstract

We consider type IIB string interaction on the maximally supersymmetric pp-wave background and discuss how the bosonic symmetries of the background are realized. This analysis shows that there are some interesting differences with respect to the flat-space case and suggests modifications to the existing form of the string vertex. We focus on the zero-mode part which is responsible for some puzzling string predictions about the N=4 SYM side. We show that these puzzles disappear when a symmetry preserving string interaction is used.