Stability of AdSpXSnXSq-n compactifications -: art. no. 084025

被引:9
|
作者
Shiromizu, T [1 ]
Ida, D
Ochiai, H
Torii, T
机构
[1] Univ Tokyo, RESCEU, Tokyo 1130033, Japan
[2] Univ Tokyo, Dept Phys, Tokyo 1130033, Japan
[3] Waseda Univ, Adv Res Inst Sci & Engn, Shinjuku Ku, Tokyo 1698555, Japan
来源
PHYSICAL REVIEW D | 2001年 / 64卷 / 08期
关键词
D O I
10.1103/PhysRevD.64.084025
中图分类号
P1 [天文学];
学科分类号
0704 ;
摘要
We examine the stability of AdS(p) x S-n x Sq-n. The initial data constructed by De Wolfe et al. is carefully analyzed and we confirm that there is no lower bound for the total mass for q < 9. The effective action on AdSp is derived for dilatonic compactification of the system to describe the nonlinear fluctuation of the background space-time. The stability is discussed applying the positive energy theorem to the effective theory on AdS. which again shows the stability for q<greater than or equal to>9.
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页数:6
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