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

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

2002-07-22

arxiv.org/abs/hep-th/0207190v1

Phys.Rev. D66 (2002) 085022

Physics

High Energy Physics

High Energy Physics - Theory

21 pages, no figure, LaTeX

Scientific paper

10.1103/PhysRevD.66.085022

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.

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