Stability of AdS(p)XS(n)XS(q-n) compactifications - art. no. 084025

Citation
T. Shiromizu et al., Stability of AdS(p)XS(n)XS(q-n) compactifications - art. no. 084025, PHYS REV D, 6408(8), 2001, pp. 4025
Citations number
26
Categorie Soggetti
Physics
Journal title
PHYSICAL REVIEW D
ISSN journal
05562821 → ACNP
Volume
6408
Issue
8
Year of publication
2001
Database
ISI
SICI code
0556-2821(20011015)6408:8<4025:SOAC-A>2.0.ZU;2-K
Abstract
We examine the stability of AdS(p) x S-n x Sq-n. The initial data construct ed 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 nonlin ear fluctuation of the background space-time. The stability is discussed ap plying the positive energy theorem to the effective theory on AdS. which ag ain shows the stability for q<greater than or equal to>9.