1/2 BPS Geometries of M2 Giant Gravitons

Abstract

We construct the general 1/2 BPS M2 giant graviton solutions asymptotic to the eleven-dimensional maximally supersymmetric plane wave background, based on the recent work of Lin, Lunin and Maldacena. The solutions have null singularity and we argue that it is unavoidable to have null singularity in the proposed framework, although the solutions are still physically relevant. They involve an arbitrary function F(x) which is shown to have a correspondence to the 1/2 BPS states of the BMN matrix model. A detailed map between the 1/2 BPS states of both sides is worked out.

arXiv comment21 pages and 1 figure. v2: references added, comments added

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Cited by in corpus (13)

• Fivebranes from gauge theory
• Matrix Model Maps in AdS/CFT
• BMN Vacua, Superstars and Non-Abelian T-duality
• 1/4-BPS M-theory bubbles with SO(3) x SO(4) symmetry
• Large N Spectrum of two Matrices in a Harmonic Potential and BMN energies
• Dynamics of Giant-Gravitons in the LLM geometry and the Fractional Quantum Hall Effect
• Gauge/Gravity Duality for Interactions of Spherical Membranes in 11-dimensional pp-wave
• Dynamics of Antimembranes in the Maximally Supersymmetric Eleven-Dimensional pp Wave
• Coarse-Graining the Lin-Maldacena Geometries
• On Toda Equation and Half BPS Supergravity Solution in M-Theory
• Matrix models and non-Abelian T dual of $Ad{S}_5\times S^5$
• Spinning the Fuzzy Sphere
• On 1/2 BPS Solutions in M-theory