Giant Graviton and Quantum Stability in Matrix Model on PP-wave Background
High Energy Physics - Theory
2009-11-07 v1
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.
Keywords
Cite
@article{arxiv.hep-th/0207190,
title = {Giant Graviton and Quantum Stability in Matrix Model on PP-wave Background},
author = {Katsuyuki Sugiyama and Kentaroh Yoshida},
journal= {arXiv preprint arXiv:hep-th/0207190},
year = {2009}
}
Comments
21 pages, no figure, LaTeX