Two-Graviton Interaction in PP-Wave Background in Matrix Theory and Supergravity

TL;DR

This paper compares the one-loop effective actions of two-body interactions in matrix theory and supergravity within a pp-wave background, finding agreement that suggests a supersymmetric nonrenormalization theorem.

Contribution

It demonstrates the matching of effective actions in matrix theory and supergravity in a pp-wave background, indicating a nonrenormalization property.

Findings

Effective actions agree between matrix theory and supergravity.

Supports the existence of a supersymmetric nonrenormalization theorem.

Provides evidence for consistency of dual descriptions in pp-wave backgrounds.

Abstract

We compute the two-body one-loop effective action for the matrix theory in the pp-wave background, and compare it to the effective action on the supergravity side in the same background. Agreement is found for the effective actions on both sides. This points to the existence of a supersymmetric nonrenormalization theorem in the pp-wave background.