Extensions of AdS_5 x S^5 and the Plane-wave Superalgebras and Their Realization in the Tiny Graviton Matrix Theory

Abstract

In this paper we consider all consistent extensions of the AdS_5 x S^5 superalgebra, psu(2,2|4), to incorporate brane charges by introducing both bosonic and fermionic (non)central extensions. We study the Inonu-Wigner contraction of the extended psu(2,2|4) under the Penrose limit to obtain the most general consistent extension of the plane-wave superalgebra and compare these extensions with the possible BPS (flat or spherical) brane configurations in the plane-wave background. We give an explicit realization of some of these extensions in terms of the Tiny Graviton Matrix Theory (TGMT)[hep-th/0406214] which is the 0+1 dimensional gauge theory conjectured to describe the DLCQ of strings on the AdS_5 x S^5 and/or the plane-wave background.

arXiv comment27 pages, LaTeX

References in corpus (43)

• Strings in flat space and pp waves from $\mathcal{N}=4$ Super Yang Mills
• Dielectric-Branes
• Bubbling AdS space and 1/2 BPS geometries
• Penrose limits and maximal supersymmetry
• Invasion of the Giant Gravitons from Anti-de Sitter Space
• A new maximally supersymmetric background of IIB superstring theory
• Large branes in AdS and their field theory dual
• SUSY and Goliath
• Supersymmetric Gauge Theories and the AdS/CFT Correspondence
• Matrix Perturbation Theory For M-theory On a PP-Wave
• Branes from Matrices
• Multiple Dp-branes in Weak Background Fields
• Tiny Graviton Matrix Theory: DLCQ of IIB Plane-Wave String Theory, A Conjecture
• Maximally supersymmetric solutions of ten- and eleven-dimensional supergravities
• The Plane-Wave/Super Yang-Mills Duality
• Multiple D0-branes in Weakly Curved Backgrounds
• Quasilocal Formalism and Black Ring Thermodynamics
• The Role of Dipole Charges in Black Hole Thermodynamics
• Dp Branes in PP-wave Background
• The M-Algebra
• Spinor Algebras
• Matrix Strings in pp-wave backgrounds from deformed Super Yang-Mills Theory
• Supersymmetry, p-brane duality and hidden space and time dimensions
• Protected Multiplets of M-Theory on a Plane Wave
• From Super-AdS_5xS^5 Algebra to Super-pp-wave Algebra
• Classification of All 1/2 BPS Solutions of the Tiny Graviton Matrix Theory
• Open strings in the plane wave background I: Quantization and symmetries
• Giant Hedge-Hogs: Spikes on Giant Gravitons
• Super p-Brane Theories and New Spacetime Superalgebras
• BPS solutions of a D5-brane worldvolume in a D3-brane background from superalgebras
• Branes from Matrix Theory in PP-Wave Background
• Open strings in the plane wave background II: Superalgebras and Spectra
• Supersymmetric objects in the M-theory on a pp-wave
• The many faces of OSp(1|32)
• The M(atrix) model of M-theory
• D-particle polarizations with multipole moments of higher-dimensional branes
• Conformal primaries of OSp(8/4,R) and BPS states in AdS4
• Representations of superconformal algebras in the AdS_7/4/CFT_6/3 correspondence
• Anti-de-Sitter vacua require fermionic brane charges
• osp(1|32) and Extensions of super-AdS_5 X S^5 algebra
• Noncentral extension of the $Ad{S}_5\times S^5$ superalgebra: supermultiplet of brane charges
• On non-perturbative extensions of anti-de-Sitter algebras
• The unifying superalgebra OSp(1|32)

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• Electrified BPS Giants: BPS configurations on Giant Gravitons with Static Electric Field
• Topological BPS charges in 10 and 11-dimensional supergravity
• Matrix Theory for the DLCQ of Type IIB String Theory on the AdS/Plane-wave
• Tiny Graviton Matrix Theory On Time-Dependent Background