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

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.

37 pages, minor changes, references added

References in corpus (4)

• On gravitational description of Wilson lines
• Type II pp-wave Matrix Models from Point-like Gravitons
• On Classification Of The Bubbling Geometries
• Operators in the d=4, N=4 SYM and the AdS/CFT correspondence

Cited by in corpus (7)

• Giant Gravitons - with Strings Attached (III)
• Giant Gravitons - with Strings Attached (II)
• 1/16-BPS Black Holes and Giant Gravitons in the AdS_5 X S^5 Space
• Electrified BPS Giants: BPS configurations on Giant Gravitons with Static Electric Field
• Matrix Theory for the DLCQ of Type IIB String Theory on the AdS/Plane-wave
• 3d CFT and Multi M2-brane Theory on RxS^2
• Tiny Graviton Matrix Theory On Time-Dependent Background