SYM Description of PP-wave String Interactions: Singlet Sector and Arbitrary Impurities

TL;DR

This paper explores string interactions with arbitrary impurities in the Type IIB plane wave background using string field theory, establishing a correspondence with gauge theory amplitudes and diagrams.

Contribution

It introduces a basis of states for string interactions and demonstrates a direct link between string field theory and gauge theory computations.

Findings

Reproduces string amplitudes from gauge theory calculations.

Establishes a correspondence between string field theory and gauge theory diagrams.

Validates the basis of states for arbitrary impurities in string interactions.

Abstract

We study string interactions among string states with arbitrary impurities in the Type IIB plane wave background using string field theory. We reproduce all string amplitudes from gauge theory by computing matrix elements of the dilatation operator in a previously proposed basis of states. A direct correspondence is found between the string field theory and gauge theory Feynman diagrams.