Classification of All 1/2 BPS Solutions of the Tiny Graviton Matrix Theory

TL;DR

This paper classifies all zero-energy, half BPS solutions in the tiny graviton matrix theory, linking them to giant gravitons, N=4 SYM configurations, and their gravity duals, thus supporting the tiny graviton conjecture.

Contribution

It provides a complete classification of all half BPS solutions in the tiny graviton matrix theory and clarifies their connections to superconformal field theories and gravity duals.

Findings

All zero energy, half BPS solutions are classified as various three sphere giant gravitons.

The solutions establish a link between tiny graviton matrix theory and N=4 SYM theory.

The work demonstrates the relationship between tiny graviton solutions and mass deformed superconformal field theories.

Abstract

The tiny graviton matrix theory [hep-th/0406214] is proposed to describe DLCQ of type IIB string theory on the maximally supersymmetric plane-wave or AdS_5xS^5 background. In this paper we provide further evidence in support of the tiny graviton conjecture by focusing on the zero energy, half BPS configurations of this matrix theory and classify all of them. These vacua are generically of the form of various three sphere giant gravitons. We clarify the connection between our solutions and the half BPS configuration in N=4 SYM theory and their gravity duals. Moreover, using our half BPS solutions, we show how the tiny graviton Matrix theory and the mass deformed D=3, N=8 superconformal field theories are related to each other.