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

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Cited by in corpus (10)

• Giant Gravitons - with Strings Attached (III)
• Giant Gravitons - with Strings Attached (II)
• Giant Gravitons - with Strings Attached (I)
• 1/16-BPS Black Holes and Giant Gravitons in the AdS_5 X S^5 Space
• At the horizon of a supersymmetric AdS_5 black hole: Isometries and half-BPS giants
• 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
• Oscillating Multiple Giants
• 3d CFT and Multi M2-brane Theory on RxS^2
• Tiny Graviton Matrix Theory On Time-Dependent Background