Type II pp-wave Matrix Models from Point-like Gravitons

TL;DR

This paper derives Matrix models for coincident gravitons in Type IIA and IIB pp-wave backgrounds, revealing giant graviton vacua and connecting to existing theories, thus expanding understanding of M-theory and string theory in curved backgrounds.

Contribution

It introduces new Matrix models for Type IIA and IIB gravitons in pp-wave backgrounds, showing their giant graviton solutions and linking to prior Tiny Graviton Matrix theory.

Findings

Type IIA Matrix String theory from coincident gravitons

Type IIB Matrix model supports fuzzy 3-sphere giant gravitons

Connection established with Tiny Graviton Matrix theory

Abstract

The BMN Matrix model can be regarded as a theory of coincident M-theory gravitons, which expand by Myers dielectric effect into the 2-sphere and 5-sphere giant graviton vacua of the theory. In this note we show that, in the same fashion, Matrix String theory in Type IIA pp-wave backgrounds arises from the action for coincident Type IIA gravitons. In Type IIB, we show that the action for coincident gravitons in the maximally supersymmetric pp-wave background gives rise to a Matrix model which supports fuzzy 3-sphere giant graviton vacua with the right behavior in the classical limit. We discuss the relation between our Matrix model and the Tiny Graviton Matrix theory of hep-th/0406214.