Supersymmetric Branes in the Matrix Model of PP Wave Background

Abstract

We consider the matrix model associated with pp-wave background and construct supersymmetric branes. In addition to the spherical membrane preserving 16 supersymmetries, one may construct rotating elliptic membranes preserving 8 supersymmetries. The other branch describes rotating 1/8 BPS hyperbolic branes in general. When the angular momentum vanishes in this branch, the hyperbolic brane becomes 1/4 BPS preserving 8 real supersymmetries. It may have the shape of hyperboloid of one or two sheets embedded in the flat three space. We study the spectrum of the worldvolume fields on the hyperbolic branes and show that there are no massless degrees. We also compute the spectrum of the 0-2 strings.

14 pages, 1 figure, references added, typos corrected

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Cited by in corpus (44)

• Superstring Interactions in a pp-wave Background
• Plane-wave Matrix Theory from N=4 Super Yang-Mills on RxS^3
• Superalgebra for M-theory on a pp-wave
• Quantized Nambu-Poisson Manifolds and n-Lie Algebras
• Fuzzy Spheres in pp Wave Matrix String Theory
• Non-Compact Hopf Maps and Fuzzy Ultra-Hyperboloids
• Ground State of Supermembrane on PP-wave
• All Higher Genus BPS Membranes in the Plane Wave Background
• Dynamical aspects of the plane-wave matrix model at finite temperature
• Unstable Giants
• D-branes of Covariant AdS Superstrings
• Spectra of PP-Wave Limits of M-/Superstring Theory on AdS_p x S^q Spaces
• Exact fuzzy sphere thermodynamics in matrix quantum mechanics
• Thermodynamics of Fuzzy Spheres in PP-wave Matrix Model
• Squashed Giants: Bound States of Giant Gravitons
• The Supergravity Dual of the BMN Matrix Model
• One-Loop Flatness of Membrane Fuzzy Sphere Interaction in Plane-Wave Matrix Model
• 1/2 BPS Geometries of M2 Giant Gravitons
• Tiny Graviton Matrix Theory/SYM Correspondence: Analysis of BPS States
• Dynamical tachyons on fuzzy spheres
• Membrane Fuzzy Sphere Dynamics in Plane-Wave Matrix Model
• Gauge/Gravity Duality for Interactions of Spherical Membranes in 11-dimensional pp-wave
• Supergravity, Supermembrane and M(atrix) model on PP-Waves
• Thermal Instability of Giant Graviton in Matrix Model on PP-wave Background
• M2-brane Dynamics in the Classical Limit of the BMN Matrix Model
• M-theory on a Time-dependent Plane-wave
• Thermodynamic Behavior of Fuzzy Membranes in PP-Wave Matrix Model
• Type IIA Supergravity Excitations in Plane-Wave Background
• Supersymmetric Intersections of M-branes and pp-waves
• Giant Gravitons in type IIA PP-wave Background
• Multipole Stability of Spinning M2-branes in the Classical Limit of the BMN Matrix Model
• AdS and pp-wave D-particle superalgebras
• A Note on D-brane - Anti-D-brane Interactions in Plane Wave Backgrounds
• New BPS Configurations of BMN Matrix Theory
• Smearing Effect in Plane-Wave Matrix Model
• Point-Like Graviton Scattering in Plane-Wave Matrix Model
• Comments on D-brane Interactions in PP-wave Backgrounds
• More on supersymmetric D-branes in type IIB plane wave background
• Quasi-Static BMN Solutions
• Spinning the Fuzzy Sphere
• M-theory on pp-waves with a holomorphic superpotential and its membrane and matrix descriptions
• Emergence of longitudinal 7-branes and fuzzy S^4 in compactification scenarios of M(atrix) theory
• Probing Smearing Effect by Point-Like Graviton in Plane-Wave Matrix Model
• Turbulent aspects of BMN membrane dynamics