Giant Graviton and Quantum Stability in Matrix Model on PP-wave Background

Abstract

We study classical solutions in Berenstein-Maldacena-Nastase (BMN) matrix model. A supersymmetric (1/2 BPS) fuzzy sphere is one of the classical solutions and corresponds to a giant graviton. We also consider other classical solutions, such as non-supersymmetric fuzzy sphere and harmonic oscillating gravitons. Some properties of oscillating gravitons are discussed. In particular, oscillating gravitons turn into usual supergravitons in the limit mu -> 0. Moreover, we calculate the one-loop effective action around the supersymmetric fuzzy sphere by the use of the background field method and show the quantum stability of the giant graviton. Also, the instability of the non-supersymmetric fuzzy sphere is proven.

21 pages, no figure, LaTeX

References in corpus (6)

• Supermembrane on the PP-wave Background
• Superalgebra for M-theory on a pp-wave
• Branes from Matrix Theory in PP-Wave Background
• Orbiting Membranes in M-theory on AdS_7 x S^4 Background
• Wess-Zumino term for AdS superstring
• Gauge invariant action for superstring in Ramond-Ramond plane-wave background

Cited by in corpus (29)

• Plane-wave Matrix Theory from N=4 Super Yang-Mills on RxS^3
• Nonperturbative studies of fuzzy spheres in a matrix model with the Chern-Simons term
• Supersymmetric objects in the M-theory on a pp-wave
• Fuzzy Spheres in pp Wave Matrix String Theory
• Ground State of Supermembrane on PP-wave
• Dynamical aspects of the plane-wave matrix model at finite temperature
• All Higher Genus BPS Membranes in the Plane Wave Background
• D-branes of Covariant AdS Superstrings
• Thermodynamics of Fuzzy Spheres in PP-wave Matrix Model
• Exact fuzzy sphere thermodynamics in matrix quantum mechanics
• The Supergravity Dual of the BMN Matrix Model
• One-Loop Flatness of Membrane Fuzzy Sphere Interaction in Plane-Wave Matrix Model
• Giant Gravitons in AdS_3 x S^3 x T^4 as Fuzzy Cylinders
• Spectrum of Eleven-dimensional Supergravity on a PP-wave Background
• Membrane Fuzzy Sphere Dynamics in Plane-Wave Matrix Model
• Dirichlet Branes of the Covariant Open Supermembrane on a PP-wave Background
• Supergravity, Supermembrane and M(atrix) model on PP-Waves
• Open string - BMN operator correspondence in the weak coupling regime
• Thermal Instability of Giant Graviton in Matrix Model on PP-wave Background
• M-theory on a Time-dependent Plane-wave
• Partition Function and Open/Closed String Duality in Type IIA String Theory on a PP-wave
• Thermodynamic Behavior of Fuzzy Membranes in PP-Wave Matrix Model
• Supersymmetric Intersections of M-branes and pp-waves
• Point-Like Graviton Scattering in Plane-Wave Matrix Model
• Smearing Effect in Plane-Wave Matrix Model
• Graviton and Spherical Graviton Potentials in Plane-Wave Matrix Model - overview and perspective -
• On a new relation between entanglement and geometry from M(atrix) theory
• Probing Smearing Effect by Point-Like Graviton in Plane-Wave Matrix Model
• Emergent geometry through quantum entanglement in Matrix theories