1/2 BPS Geometries of M2 Giant Gravitons

TL;DR

This paper constructs general 1/2 BPS M2 giant graviton solutions in an eleven-dimensional plane wave background, linking them to BMN matrix model states, and discusses their null singularities and physical relevance.

Contribution

It introduces a new class of 1/2 BPS M2 giant graviton solutions with null singularities, connecting them to BMN matrix model states and extending the Lin-Lunin-Maldacena framework.

Findings

Solutions have null singularities, deemed unavoidable in this framework.

An arbitrary function F(x) characterizes the solutions and corresponds to 1/2 BPS states.

A detailed mapping between supergravity solutions and BMN matrix model states is established.

Abstract

We construct the general 1/2 BPS M2 giant graviton solutions asymptotic to the eleven-dimensional maximally supersymmetric plane wave background, based on the recent work of Lin, Lunin and Maldacena. The solutions have null singularity and we argue that it is unavoidable to have null singularity in the proposed framework, although the solutions are still physically relevant. They involve an arbitrary function F(x) which is shown to have a correspondence to the 1/2 BPS states of the BMN matrix model. A detailed map between the 1/2 BPS states of both sides is worked out.