Tiny Graviton Matrix Theory/SYM Correspondence: Analysis of BPS States

TL;DR

This paper analyzes BPS states in the Tiny Graviton Matrix Theory, classifies solutions corresponding to rotating branes, and establishes a correspondence with dual BPS operators in N=4 SYM, supporting the Matrix theory conjecture.

Contribution

It classifies BPS solutions in TGMT and demonstrates their one-to-one correspondence with dual BPS operators in N=4 SYM, providing evidence for the Matrix theory/SYM duality.

Findings

BPS solutions correspond to rotating brane giants.

Dual operators match TGMT states with same quantum numbers.

Supports the validity of the Tiny Graviton Matrix Theory.

Abstract

In this paper we continue analysis of the Matrix theory describing the DLCQ of type IIB string theory on AdS_5 x S^5 (and/or the plane-wave) background, i.e. the Tiny Graviton Matrix Theory (TGMT)[hep-th/0406214]. We study and classify 1/2, 1/4 and 1/8 BPS solutions of the TGMT which are generically of the form of rotating three brane giants. These are branes whose shape are deformed three spheres and hyperboloids. In lack of a classification of such ten dimensional type IIb supergravity configurations, we focus on the dual N=4 four dimensional 1/2, 1/4 and one 1/8 BPS operators and show that they are in one-to-one correspondence with the states of the same set of quantum numbers in TGMT. This provides further evidence in support of the Matrix theory.